The other "stimulus" (was Re: Please help ID important CSGnet threads)

[Rick Marken 2019-06-08_11:26:21]

[Martin Taylor 2019.06.04.16.31]

  MT: I disagree with Rick's new understanding of what Bill was saying,

though I stand to be corrected, because Rick could easily be right
about what Bill meant…Â

RM: I think what Bill meant can be gleaned from the context in which the letter was sent. Bill’s letter was in response to my first paper testing PCT. The paper described a further test of a fact described in Bill’s 1973 Science and 1979 Byte papers. Bill showed that, in a compensatory tracking task, the correlation between variations in cursor and handle position is near 0.0, while that between variations in the invisible disturbance and handle position is nearly perfect, on the order of -.99. Â

RM: Here’s Bill’s diagram of the situation in the compensatory tracking task. I’ll use the notation in this diagram to explain what Bill found and how it is explained by PCT.

Picture14.png

RM: The basic finding is that the correlations between the variables in the causal path from d to h are always close to 0.0 while the correlation between d and h is close to 1.0. That is, the correlation between d and c and between c and h is ~0.0 while that between d and h is ~1.0.Â

RM: This is an astonishing finding and quite a challenge to conventional scientific psychology. My contribution to this “spadework at the foundations of scientific psychology” was a little experiment that showed that the correlation between variations in response outputs (h) on two trials with the same disturbance will be close to 1.0 while the correlation between corresponding variations in stimulus inputs (c) on those trials is close to 0.0. That is, the correlation between h1 and h2 (handle position variations on two different trials with the same disturbance on each) will be ~ 1.0 while the correlation between c1 and c2 (cursor position variations on the two trials, the only inputs that the subject can see) will be close to 0.0. This shows that there is no mathematical function of the cursor variations that will produce the observed variations in h on each trial.Â

RM: Of course, I wanted to show that PCT can account for this result. So I built a PCT model that performed the tracking task and, to my astonishment, the model didn’t behave like the subjects. Most surprisingly, the correlation between c and d for the model was 1.0 rather than the ~ 0.0 that was found for the subjects. And the correlation between c1 and c2 for the model was also 1.0, rather than ~ 0.0, as it was for the subjects.

RM: I thought adding noise would fix things up and it did, quite nicely. The models with noise behaved exactly like the subjects. I did feel a bit like I was cheating by doing this; but I figured that neural noise is a real phenomenon so it wasn’t really cheating. But in re-reading his old letter to me, I realized that Bill had shown how the fact that noise was needed to make the model behave like the subjects could be used to reveal the the existence of an internal reference signal in the subjects. The relevant part of Bill’s letter that led me to this realization is here:

image600.png

RM: The important equation is delta h = - k delta c, which is true only when r is constant. So with r constant (as it presumably is in the compensatory tracking task), r falls out of the relationship between delta h and delta c. This suggested that there should be a correlation between delta c and delta h if variations in r were the source of the “noise” that caused the lack of correlation between c and h. So I looked at some tracking data that I had on hand and the results I got a shown in the first column of the figure below.Â

image601.png

RM: The correlations between disturbance and cursor (d-c), cursor and handle (c-h) and disturbance and handle (d-h) are what Bill reported in the Science and Byte articles; correlations of ~0.0 for the causal path from d to h (d-c, c-h) and a correlation close to 1.0 between d and h. The most surprising one being the ~0.0 correlation between c and h. The next three are the correlations between the delta values of those correlations. Here, the most important one is the very high correlation between delta c and delta h, which is what was predicted by the formula in Bill’s letter: delta h = - k delta c.Â

RM: This result suggested that the “noise” that results in a lack of correlation between c and h comes only from the reference signal – the “other stimulus” for h. I tested this by adding noise (wide band) to the model at two different points in the causal loop; I added it to either r or p (which is equivalent to c since the input function is taken to be a multiplier of 1). The results are shown in the columns labeled “r noise” and “p noise”. These results are stunning. When noise is added to r, the model behaves just like the data; when noise is added to p the model behaves nothing like the data.Â

RM: I think this result shows rather clearly that the lack of correlation between c (“stimulus”) and h (“response”) that is observed in human tracking behavior (but not in a noiseless control model) is a result of “noisy” variations in r (the other “stimulus”). This shows that a reference signal variable, r, must be included in models of control behavior. The results of the modeling provides a kind of an existence proof for the existence of an autonomously set reference signal that specifies the desired state of the input, c. It also shows that nearly all of the variation in an input variable that is being kept in a constant reference state is due to random variations in the reference specification for and not in the perception of the state of that variable.Â

RM: I still have some more things to figure out about this but I think this could make a nice little paper. Comments and suggestions are welcome.Â

Best

Rick

···


Richard S. MarkenÂ

"Perfection is achieved not when you have nothing more to add, but when you
have nothing left to take away.�
                --Antoine de Saint-Exupery

[Bruce Nevin 20190608.15:15 ET]

This is a very nice result. But why does r vary? As you say, “with r constant (as it presumably is in the compensatory tracking task) …”.

Picture14.png

image600.png

image601.png

···

/B

On Sat, Jun 8, 2019 at 2:29 PM Richard Marken csgnet@lists.illinois.edu wrote:

[Rick Marken 2019-06-08_11:26:21]

[Martin Taylor 2019.06.04.16.31]

  MT: I disagree with Rick's new understanding of what Bill was saying,

though I stand to be corrected, because Rick could easily be right
about what Bill meant…Â

RM: I think what Bill meant can be gleaned from the context in which the letter was sent. Bill’s letter was in response to my first paper testing PCT. The paper described a further test of a fact described in Bill’s 1973 Science and 1979 Byte papers. Bill showed that, in a compensatory tracking task, the correlation between variations in cursor and handle position is near 0.0, while that between variations in the invisible disturbance and handle position is nearly perfect, on the order of -.99. Â

RM: Here’s Bill’s diagram of the situation in the compensatory tracking task. I’ll use the notation in this diagram to explain what Bill found and how it is explained by PCT.

image.png

RM: The basic finding is that the correlations between the variables in the causal path from d to h are always close to 0.0 while the correlation between d and h is close to 1.0. That is, the correlation between d and c and between c and h is ~0.0 while that between d and h is ~1.0.Â

RM: This is an astonishing finding and quite a challenge to conventional scientific psychology. My contribution to this “spadework at the foundations of scientific psychology” was a little experiment that showed that the correlation between variations in response outputs (h) on two trials with the same disturbance will be close to 1.0 while the correlation between corresponding variations in stimulus inputs (c) on those trials is close to 0.0. That is, the correlation between h1 and h2 (handle position variations on two different trials with the same disturbance on each) will be ~ 1.0 while the correlation between c1 and c2 (cursor position variations on the two trials, the only inputs that the subject can see) will be close to 0.0. This shows that there is no mathematical function of the cursor variations that will produce the observed variations in h on each trial.Â

RM: Of course, I wanted to show that PCT can account for this result. So I built a PCT model that performed the tracking task and, to my astonishment, the model didn’t behave like the subjects. Most surprisingly, the correlation between c and d for the model was 1.0 rather than the ~ 0.0 that was found for the subjects. And the correlation between c1 and c2 for the model was also 1.0, rather than ~ 0.0, as it was for the subjects.

RM: I thought adding noise would fix things up and it did, quite nicely. The models with noise behaved exactly like the subjects. I did feel a bit like I was cheating by doing this; but I figured that neural noise is a real phenomenon so it wasn’t really cheating. But in re-reading his old letter to me, I realized that Bill had shown how the fact that noise was needed to make the model behave like the subjects could be used to reveal the the existence of an internal reference signal in the subjects. The relevant part of Bill’s letter that led me to this realization is here:

image.png

RM: The important equation is delta h = - k delta c, which is true only when r is constant. So with r constant (as it presumably is in the compensatory tracking task), r falls out of the relationship between delta h and delta c. This suggested that there should be a correlation between delta c and delta h if variations in r were the source of the “noise” that caused the lack of correlation between c and h. So I looked at some tracking data that I had on hand and the results I got a shown in the first column of the figure below.Â

Picture1.png

RM: The correlations between disturbance and cursor (d-c), cursor and handle (c-h) and disturbance and handle (d-h) are what Bill reported in the Science and Byte articles; correlations of ~0.0 for the causal path from d to h (d-c, c-h) and a correlation close to 1.0 between d and h. The most surprising one being the ~0.0 correlation between c and h. The next three are the correlations between the delta values of those correlations. Here, the most important one is the very high correlation between delta c and delta h, which is what was predicted by the formula in Bill’s letter: delta h = - k delta c.Â

RM: This result suggested that the “noise” that results in a lack of correlation between c and h comes only from the reference signal – the “other stimulus” for h. I tested this by adding noise (wide band) to the model at two different points in the causal loop; I added it to either r or p (which is equivalent to c since the input function is taken to be a multiplier of 1). The results are shown in the columns labeled “r noise” and “p noise”. These results are stunning. When noise is added to r, the model behaves just like the data; when noise is added to p the model behaves nothing like the data.Â

RM: I think this result shows rather clearly that the lack of correlation between c (“stimulus”) and h (“response”) that is observed in human tracking behavior (but not in a noiseless control model) is a result of “noisy” variations in r (the other “stimulus”). This shows that a reference signal variable, r, must be included in models of control behavior. The results of the modeling provides a kind of an existence proof for the existence of an autonomously set reference signal that specifies the desired state of the input, c. It also shows that nearly all of the variation in an input variable that is being kept in a constant reference state is due to random variations in the reference specification for and not in the perception of the state of that variable.Â

RM: I still have some more things to figure out about this but I think this could make a nice little paper. Comments and suggestions are welcome.Â

Best

Rick


Richard S. MarkenÂ

"Perfection is achieved not when you have nothing more to add, but when you
have nothing left to take away.�
                --Antoine de Saint-Exupery

[Martin Taylor 2019.06.08.15.57]

A couple of comments.

If the only noise is in the reference value, what would you expect
of the top-level control loop. which has no input to a reference
input function from a (non-existent) higher level? What would you
expect if there was noise in the output? The equation delta h = -k
delta c does not conform to the diagram, which has delta h = ke =k(
r-c) = kr-kc. Delta h is the quantity entering the integral, not the
change in that quantity. At least, that’s how I read the diagram,
which conforms to most simulations I have seen. Did the simulation you used include the integral? How much loop
delay did the simulation have? With zero loop delay, the noise
output by the output stage would be uncorrelated with both noise
introduced at the reference and noise introduced at the perception,
whereas with zero loop delay and no integration (as per the delta h
= -k delta c equation) the output noise would exactly cancel any
noise introduced at the perception, but would amplify noise
introduced at the reference.
Martin

image600.png

image601.png

Picture14.png

···

[Rick Marken 2019-06-08_11:26:21]

                            [Martin Taylor

2019.06.04.16.31]

                              MT: I

disagree with Rick’s new understanding
of what Bill was saying, though I
stand to be corrected, because Rick
could easily be right about what Bill
meant…

                          RM: I think what Bill meant can be

gleaned from the context in which the
letter was sent. Bill’s letter was in
response to my first paper testing PCT.
The paper described a further test of a
fact described in Bill’s 1973 Science
and 1979 Byte papers. Bill showed
that, in a compensatory tracking task, the
correlation between variations in cursor
and handle position is near 0.0, while
that between variations in the invisible
disturbance and handle position is nearly
perfect, on the order of -.99.

                          RM: Here's Bill's diagram of the

situation in the compensatory tracking
task. I’ll use the notation in this
diagram to explain what Bill found and how
it is explained by PCT.

                          RM: The basic finding is that the

correlations between the variables in the
causal path from d to h are always close
to 0.0 while the correlation between d and
h is close to 1.0. That is, the
correlation between d and c and between c
and h is ~0.0 while that between d and h
is ~1.0.

                          RM: This is an astonishing finding and

quite a challenge to conventional
scientific psychology. My contribution to
this “spadework at the foundations of
scientific psychology” was a little
experiment that showed that the
correlation between variations in response
outputs (h) on two trials with the same
disturbance will be close to 1.0 while the
correlation between corresponding
variations in stimulus inputs (c) on those
trials is close to 0.0. That is, the
correlation between h1 and h2 (handle
position variations on two different
trials with the same disturbance on each)
will be ~ 1.0 while the correlation
between c1 and c2 (cursor position
variations on the two trials, the only
inputs that the subject can see) will be
close to 0.0. This shows that there is no
mathematical function of the cursor
variations that will produce the observed
variations in h on each trial.

                          RM: Of course, I wanted to show that

PCT can account for this result. So I
built a PCT model that performed the
tracking task and, to my astonishment, the
model didn’t behave like the subjects.
Most surprisingly, the correlation
between c and d for the model was 1.0
rather than the ~ 0.0 that was found for
the subjects. And the correlation between
c1 and c2 for the model was also 1.0,
rather than ~ 0.0, as it was for the
subjects.

                          RM:  I thought adding noise would fix

things up and it did, quite nicely. The
models with noise behaved exactly like the
subjects. I did feel a bit like I was
cheating by doing this; but I figured that
neural noise is a real phenomenon so it
wasn’t really cheating. But in re-reading
his old letter to me, I realized that Bill
had shown how the fact that noise was
needed to make the model behave like the
subjects could be used to reveal the the
existence of an internal reference signal
in the subjects. The relevant part of
Bill’s letter that led me to this
realization is here:

                          RM: The important equation is delta h =
  • k delta c, which is true only when r is
    constant. So with r constant (as it
    presumably is in the compensatory tracking
    task), r falls out of the relationship
    between delta h and delta c. This
    suggested that there should be a
    correlation between delta c and delta h if
    variations in r were the source of the
    “noise” that caused the lack of
    correlation between c and h. So I looked
    at some tracking data that I had on hand
    and the results I got a shown in the first
    column of the figure below.
                          RM: The correlations between

disturbance and cursor (d-c), cursor and
handle (c-h) and disturbance and handle
(d-h) are what Bill reported in the
Science and Byte articles; correlations of
~0.0 for the causal path from d to h (d-c,
c-h) and a correlation close to 1.0
between d and h. The most surprising one
being the ~0.0 correlation between c and
h. The next three are the correlations
between the delta values of those
correlations. Here, the most important one
is the very high correlation between delta
c and delta h, which is what was predicted
by the formula in Bill’s letter: delta h =

  • k delta c.
                          RM: This result suggested that the

“noise” that results in a lack of
correlation between c and h comes only
from the reference signal – the “other
stimulus” for h. I tested this by adding
noise (wide band) to the model at two
different points in the causal loop; I
added it to either r or p (which is
equivalent to c since the input function
is taken to be a multiplier of 1). The
results are shown in the columns labeled
“r noise” and “p noise”. These results are
stunning. When noise is added to r, the
model behaves just like the data; when
noise is added to p the model behaves
nothing like the data.

                          RM: I think this result shows rather

clearly that the lack of correlation
between c (“stimulus”) and h (“response”)
that is observed in human tracking
behavior (but not in a noiseless control
model) is a result of “noisy” variations
in r (the other “stimulus”). This shows
that a reference signal variable, r, must
be included in models of control behavior.
The results of the modeling provides a
kind of an existence proof for the
existence of an autonomously set reference
signal that specifies the desired state of
the input, c. It also shows that nearly
all of the variation in an input variable
that is being kept in a constant reference
state is due to random variations in the
reference specification for and not in the
perception of the state of that variable.

                          RM: I still have some more things to

figure out about this but I think this
could make a nice little paper. Comments
and suggestions are welcome.

[Rick Marken 2019-06-09_11:23:18]

[Bruce Nevin 20190608.15:15 ET]

BN: This is a very nice result. But why does r vary? As you say, “with r constant (as it presumably is in the compensatory tracking task) …”.

 RM: Neural noise perhaps? I still need to work on this to see what’s going on. The model fits the correlation data quite well but there are other aspects of the data that are puzzling.Â

BestÂ

Rick

Picture14.png

image600.png

image601.png

···

/B

On Sat, Jun 8, 2019 at 2:29 PM Richard Marken csgnet@lists.illinois.edu wrote:

[Rick Marken 2019-06-08_11:26:21]

[Martin Taylor 2019.06.04.16.31]

  MT: I disagree with Rick's new understanding of what Bill was saying,

though I stand to be corrected, because Rick could easily be right
about what Bill meant…Â

RM: I think what Bill meant can be gleaned from the context in which the letter was sent. Bill’s letter was in response to my first paper testing PCT. The paper described a further test of a fact described in Bill’s 1973 Science and 1979 Byte papers. Bill showed that, in a compensatory tracking task, the correlation between variations in cursor and handle position is near 0.0, while that between variations in the invisible disturbance and handle position is nearly perfect, on the order of -.99. Â

RM: Here’s Bill’s diagram of the situation in the compensatory tracking task. I’ll use the notation in this diagram to explain what Bill found and how it is explained by PCT.

image.png

RM: The basic finding is that the correlations between the variables in the causal path from d to h are always close to 0.0 while the correlation between d and h is close to 1.0. That is, the correlation between d and c and between c and h is ~0.0 while that between d and h is ~1.0.Â

RM: This is an astonishing finding and quite a challenge to conventional scientific psychology. My contribution to this “spadework at the foundations of scientific psychology” was a little experiment that showed that the correlation between variations in response outputs (h) on two trials with the same disturbance will be close to 1.0 while the correlation between corresponding variations in stimulus inputs (c) on those trials is close to 0.0. That is, the correlation between h1 and h2 (handle position variations on two different trials with the same disturbance on each) will be ~ 1.0 while the correlation between c1 and c2 (cursor position variations on the two trials, the only inputs that the subject can see) will be close to 0.0. This shows that there is no mathematical function of the cursor variations that will produce the observed variations in h on each trial.Â

RM: Of course, I wanted to show that PCT can account for this result. So I built a PCT model that performed the tracking task and, to my astonishment, the model didn’t behave like the subjects. Most surprisingly, the correlation between c and d for the model was 1.0 rather than the ~ 0.0 that was found for the subjects. And the correlation between c1 and c2 for the model was also 1.0, rather than ~ 0.0, as it was for the subjects.

RM: I thought adding noise would fix things up and it did, quite nicely. The models with noise behaved exactly like the subjects. I did feel a bit like I was cheating by doing this; but I figured that neural noise is a real phenomenon so it wasn’t really cheating. But in re-reading his old letter to me, I realized that Bill had shown how the fact that noise was needed to make the model behave like the subjects could be used to reveal the the existence of an internal reference signal in the subjects. The relevant part of Bill’s letter that led me to this realization is here:

image.png

RM: The important equation is delta h = - k delta c, which is true only when r is constant. So with r constant (as it presumably is in the compensatory tracking task), r falls out of the relationship between delta h and delta c. This suggested that there should be a correlation between delta c and delta h if variations in r were the source of the “noise” that caused the lack of correlation between c and h. So I looked at some tracking data that I had on hand and the results I got a shown in the first column of the figure below.Â

Picture1.png

RM: The correlations between disturbance and cursor (d-c), cursor and handle (c-h) and disturbance and handle (d-h) are what Bill reported in the Science and Byte articles; correlations of ~0.0 for the causal path from d to h (d-c, c-h) and a correlation close to 1.0 between d and h. The most surprising one being the ~0.0 correlation between c and h. The next three are the correlations between the delta values of those correlations. Here, the most important one is the very high correlation between delta c and delta h, which is what was predicted by the formula in Bill’s letter: delta h = - k delta c.Â

RM: This result suggested that the “noise” that results in a lack of correlation between c and h comes only from the reference signal – the “other stimulus” for h. I tested this by adding noise (wide band) to the model at two different points in the causal loop; I added it to either r or p (which is equivalent to c since the input function is taken to be a multiplier of 1). The results are shown in the columns labeled “r noise” and “p noise”. These results are stunning. When noise is added to r, the model behaves just like the data; when noise is added to p the model behaves nothing like the data.Â

RM: I think this result shows rather clearly that the lack of correlation between c (“stimulus”) and h (“response”) that is observed in human tracking behavior (but not in a noiseless control model) is a result of “noisy” variations in r (the other “stimulus”). This shows that a reference signal variable, r, must be included in models of control behavior. The results of the modeling provides a kind of an existence proof for the existence of an autonomously set reference signal that specifies the desired state of the input, c. It also shows that nearly all of the variation in an input variable that is being kept in a constant reference state is due to random variations in the reference specification for and not in the perception of the state of that variable.Â

RM: I still have some more things to figure out about this but I think this could make a nice little paper. Comments and suggestions are welcome.Â

Best

Rick


Richard S. MarkenÂ

"Perfection is achieved not when you have nothing more to add, but when you
have nothing left to take away.�
                --Antoine de Saint-Exupery


Richard S. MarkenÂ

"Perfection is achieved not when you have nothing more to add, but when you
have nothing left to take away.�
                --Antoine de Saint-Exupery

[Rick Marken 2019-06-09_11:48:15]

Â

[Martin Taylor 2019.06.08.15.57]

MT: A couple of comments.

MT: If the only noise is in the reference value, what would you expect

of the top-level control loop. which has no input to a reference
input function from a (non-existent) higher level?

RM: Good question. If it’s really reference noise then it could be added at the top level because, while the highest level systems have no higher level systems to vary a reference input, the comparators of these systems must have have an implicit 0 reference that is the basis for computing an error, So the noise could enter at the point where the neural subtraction is done.Â

MT: What would you

expect if there was noise in the output?

RM: The same as whet happens with noise in the input; that noise alone would no account for the observed correlations between c and d and delta c and delta h.Â

MT: The equation delta h = -k

delta c does not conform to the diagram, which has delta h = ke =k(
r-c) = kr-kc. Delta h is the quantity entering the integral, not the
change in that quantity. At least, that’s how I read the diagram,
which conforms to most simulations I have seen.

RM: My model uses an integral output. And while it’s true that the error entering the output function is delta h, the data vale of delta h must be computed from the observed time differences between h at time t and t-1. The fact that the r noise model fits the actual data nearly perfectly (See below) suggests that the model is on the right track, I think. But, as I just told Bruce N. there are discrepancies that make me realize that there is more work to be done. Â

image600.png

MT: Did the simulation you used include the integral?

RM: Yes.Â

Â

MT: How much loop

delay did the simulation have?

RM: There was no delay in the form of transport lag. And I used different slowing factors but that made no difference in the result.Â

Â

With zero loop delay, the noise

output by the output stage would be uncorrelated with both noise
introduced at the reference and noise introduced at the perception,
whereas with zero loop delay and no integration (as per the delta h
= -k delta c equation) the output noise would exactly cancel any
noise introduced at the perception, but would amplify noise
introduced at the reference.

RM: Interestingly, when noise is added to both the perceptual and reference signals, the model doesn;t fit the data. The model only fits the data (per the table above) only when the noise is added only to the reference. But this results in the model failing to account for other aspects of the data, such as the reference state of c. So there is more work to do.

Rick

image601.png

Picture14.png

image610.png

···

Richard S. MarkenÂ

"Perfection is achieved not when you have nothing more to add, but when you
have nothing left to take away.�
                --Antoine de Saint-Exupery

[Martin Taylor 2019.06.09.16.08]

[Rick Marken 2019-06-09_11:48:15]

[Martin Taylor 2019.06.08.15.57]…

          MT: The equation delta h = -k delta c

does not conform to the diagram, which has delta h = ke
=k( r-c) = kr-kc. Delta h is the quantity entering the
integral, not the change in that quantity. At least,
that’s how I read the diagram, which conforms to most
simulations I have seen.

image601.png

I read Bill as saying: "If you look only at changes with r constant,

then h =k(r-c) becomes ∆h = -k∆c" Is that how you read it?

The diagram shows something different.

![image600.png|385x244](upload://td9HaQXWBYpm28vQmKWHEnys6lN.png)

This shows h = ∫(r-c)dt, not h = k(r-c), does it not? If you used an

integral output, as in the diagram, then with r constant you get ∆h
= -kc.

        RM: My model uses an integral output. And while it's true

that the error entering the output function is delta h, the
data vale of delta h must be computed from the observed time
differences between h at time t and t-1.

Don't you compute it from h(t) = h(t-1) + ke? The error entering the

output function is not ∆h, but (h(t)-h(t-1))/k, or ∆h/k.

        The fact that the r noise model fits the actual data

nearly perfectly (See below) suggests that the model is on
the right track, I think. But, as I just told Bruce N. there
are discrepancies that make me realize that there is more
work to be done.

Yes. It would be interesting to rewrite the model in different

software, because without the integral (according to Bill’s text)
the data make some sense, but with the integral (according to Bill’s
diagram) it is a mystery to me what could cause the difference
between adding the noise to the reference and adding it to the
perception. There’s a bug either in your code or my mental software,
and I don’t have a clue which.

Martin

[Martin Taylor 2019.06.10

Forgot the factor "k". Should read h = k∫(r-c)dt. Sorry about that.

Martin

image601.png

image600.png

···

Typo correction…

[Martin Taylor 2019.06.09.16.08]

[Rick Marken 2019-06-09_11:48:15]

            [Martin Taylor

2019.06.08.15.57]…

            MT: The equation delta h = -k delta

c does not conform to the diagram, which has delta h =
ke =k( r-c) = kr-kc. Delta h is the quantity entering
the integral, not the change in that quantity. At least,
that’s how I read the diagram, which conforms to most
simulations I have seen.

  I read Bill as saying: "If you look only at changes with r

constant, then h =k(r-c) becomes ∆h = -k∆c" Is that how you read
it?

  The diagram shows something different.



  This shows h = ∫(r-c)dt,...
  ...not

h = k(r-c), does it not? If you used an integral output, as in the
diagram, then with r constant you get ∆h = -kc.

          RM: My model uses an integral output. And while it's

true that the error entering the output function is delta
h, the data vale of delta h must be computed from the
observed time differences between h at time t and t-1.

  Don't you compute it from h(t) = h(t-1) + ke? The error entering

the output function is not ∆h, but (h(t)-h(t-1))/k, or ∆h/k.

          The fact that the r noise model fits the actual data

nearly perfectly (See below) suggests that the model is on
the right track, I think. But, as I just told Bruce N.
there are discrepancies that make me realize that there is
more work to be done.

  Yes. It would be interesting to rewrite the model in different

software, because without the integral (according to Bill’s text)
the data make some sense, but with the integral (according to
Bill’s diagram) it is a mystery to me what could cause the
difference between adding the noise to the reference and adding it
to the perception. There’s a bug either in your code or my mental
software, and I don’t have a clue which.

  Martin

[Rick Marken 2019-06-10_18:42:25]

[Martin Taylor 2019.06.10

Typo correction…

[Martin Taylor 2019.06.09.16.08]

  ![image601.png|438x87](upload://sGcg03qecIdHKT1Lgxh9qf5pUWA.png)
  MT: I read Bill as saying: "If you look only at changes with r

constant, then h =k(r-c) becomes ∆h = -k∆c" Is that how you read
it?

RM: Yes.Â

Forgot the factor “k”. Should read h = k∫(r-c)dt. Sorry about that.

  ...not

h = k(r-c), does it not? If you used an integral output, as in the
diagram, then with r constant you get ∆h = -kc.

RM: I think Bill’s form is correct: ∆h = -k∆c. I think the sign of k depends on how c is computed: h+d or h-d or d-h. But I think Bill is correct that the relationship is between ∆h and ∆c and not between ∆h and c, as per your derivation. This is what I find in the data. The correlation between ∆h and ∆c is .95 while that between ∆h and c is .02. And this is true while the correlation between h and c is nearly 0 (-.006 in my data).Â

          RM: The fact that the r noise model fits the actual data

nearly perfectly (See below) suggests that the model is on
the right track, I think. But, as I just told Bruce N.
there are discrepancies that make me realize that there is
more work to be done. Â

  MT: Yes. It would be interesting to rewrite the model in different

software, because without the integral (according to Bill’s text)
the data make some sense,

RM: I’m working on it. It’s been surprisingly frustrating. All I know for sure not is the Bill was right about there being a high correlation between ∆h and ∆c even when there is 0 correlation between h and c when the reference for c is fixed.Â

Best

Rick

Â

Â

image600.png

···

Richard S. MarkenÂ

"Perfection is achieved not when you have nothing more to add, but when you
have nothing left to take away.�
                --Antoine de Saint-Exupery

[Martin Taylor 2019.06.10.23.27]

So you think the diagram is the one that is wrong, in that it says h

=k∫(r-c) dt, which means dh/dt = k(r -c), which is -kc if r = 0.
dh/dt over one sample period is ∆h, so ∆h = -kc, contradicting
Bill’s text. You really can’t have it both ways, both the text and
the diagram being correct.
What does any of this have to do with correlation? We are talking
ONLY of the nature of an integral. But if you want to talk correlation, the correlation between the
waveform input to an integral and its output waveform approaches
zero if you have enough samples. The correlation between h and c
must be zero if you have enough independent samples. That’s what you
found. If x = ∫y dt, then ∆x = y, NOT ∆x = ∆y. Bill knew that because he knew a little more than calculus 101,
which is more than you need to understand what I am saying, but it
doesn’t mean that he was the only person who never made a “mental
typo” when writing a quick letter. He may well be right about that. It’s irrelevant to the point that
he made a mistake either in the diagram or in the contradictory
text.
So far as I know, integration results in no intrinsic constraint on
the correlation between ∆h and ∆c. It’s only between the input and
the output of the integrator that the
correlation approaches zero as the number of samples used increases.
There’s no correlation between ∆h and h or between ∆c and c, because
the positive deltas when the waveform is increasing are matched by
the negative deltas when the wave are decreasing through the same
range of values. That means that the intrinsic zero correlation
between h and c tells you nothing about the correlation between ∆h
and ∆c. That correlation is determined elsewhere in the loop.
Martin

image601.png

···

[Rick Marken 2019-06-10_18:42:25]

[Martin Taylor 2019.06.10

            Typo

correction…

[Martin Taylor 2019.06.09.16.08]

            MT: I read Bill as saying: "If you look only at changes

with r constant, then h =k(r-c) becomes ∆h = -k∆c" Is
that how you read it?

RM: Yes.

          Forgot the factor "k". Should read h

= k∫(r-c)dt. Sorry about that.

            ...not h = k(r-c), does it not? If

you used an integral output, as in the diagram, then
with r constant you get ∆h = -kc.

RM: I think Bill’s form is correct: ∆h = -k∆c.

        I think the sign of k depends on how c is computed:  h+d

or h-d or d-h. But I think Bill is correct that the
relationship is between ∆h and ∆c and not between ∆h and
c, as per your derivation. This is what I find in the data.
The correlation between ∆h and ∆c is .95 while that
between ∆h and c is .02. And this is true while the
correlation between h and c is nearly 0 (-.006 in my data).

                    RM: The fact that the r noise model fits the

actual data nearly perfectly (See below)
suggests that the model is on the right track, I
think. But, as I just told Bruce N. there are
discrepancies that make me realize that there is
more work to be done.

            MT: Yes. It would be interesting to rewrite the model in

different software, because without the integral
(according to Bill’s text) the data make some sense,

        RM: I'm working on it. It's been surprisingly

frustrating. All I know for sure not is the Bill was right
about there being a high correlation between ∆h and ∆c even
when there is 0 correlation between h and c when the
reference for c is fixed.

sample values

I don’t see where noise in the “top level” control loop would
matter. It is most likely binary control (i.e. stay alive or
not).

image600.png

image601.png

Picture14.png

···

On 6/8/19 2:13 PM, Martin Taylor
( via csgnet Mailing List) wrote:

mmt-csg@mmtaylor.net

[Martin Taylor 2019.06.08.15.57]

  A couple of comments.

If the only noise is in the reference value, what would you expect
of the top-level control loop. which has no input to a reference
input function from a (non-existent) higher level? What would you
expect if there was noise in the output? The equation delta h = -k
delta c does not conform to the diagram, which has delta h = ke
=k( r-c) = kr-kc. Delta h is the quantity entering the integral,
not the change in that quantity. At least, that’s how I read the
diagram, which conforms to most simulations I have seen. Did the simulation you used include the integral? How much loop
delay did the simulation have? With zero loop delay, the noise
output by the output stage would be uncorrelated with both noise
introduced at the reference and noise introduced at the
perception, whereas with zero loop delay and no integration (as
per the delta h = -k delta c equation) the output noise would
exactly cancel any noise introduced at the perception, but would
amplify noise introduced at the reference.
Martin

[Rick Marken 2019-06-08_11:26:21]

                              [Martin Taylor

2019.06.04.16.31]

                                MT: I

disagree with Rick’s new
understanding of what Bill was
saying, though I stand to be
corrected, because Rick could easily
be right about what Bill meant…

                            RM: I think what Bill meant can be

gleaned from the context in which the
letter was sent. Bill’s letter was in
response to my first paper testing PCT.
The paper described a further test of a
fact described in Bill’s 1973 Science
and 1979 Byte papers. Bill showed
that, in a compensatory tracking task,
the correlation between variations in
cursor and handle position is near 0.0,
while that between variations in the
invisible disturbance and handle
position is nearly perfect, on the order
of -.99.

                            RM: Here's Bill's diagram of the

situation in the compensatory tracking
task. I’ll use the notation in this
diagram to explain what Bill found and
how it is explained by PCT.

                            RM: The basic finding is that the

correlations between the variables in
the causal path from d to h are always
close to 0.0 while the correlation
between d and h is close to 1.0. That
is, the correlation between d and c and
between c and h is ~0.0 while that
between d and h is ~1.0.

                            RM: This is an astonishing finding

and quite a challenge to conventional
scientific psychology. My contribution
to this “spadework at the foundations of
scientific psychology” was a little
experiment that showed that the
correlation between variations in
response outputs (h) on two trials with
the same disturbance will be close to
1.0 while the correlation between
corresponding variations in stimulus
inputs (c) on those trials is close to
0.0. That is, the correlation between h1
and h2 (handle position variations on
two different trials with the same
disturbance on each) will be ~ 1.0 while
the correlation between c1 and c2
(cursor position variations on the two
trials, the only inputs that the subject
can see) will be close to 0.0. This
shows that there is no mathematical
function of the cursor variations that
will produce the observed variations in
h on each trial.

                            RM: Of course, I wanted to show that

PCT can account for this result. So I
built a PCT model that performed the
tracking task and, to my astonishment,
the model didn’t behave like the
subjects. Most surprisingly, the
correlation between c and d for the
model was 1.0 rather than the ~ 0.0 that
was found for the subjects. And the
correlation between c1 and c2 for the
model was also 1.0, rather than ~ 0.0,
as it was for the subjects.

                            RM:  I thought adding noise would fix

things up and it did, quite nicely. The
models with noise behaved exactly like
the subjects. I did feel a bit like I
was cheating by doing this; but I
figured that neural noise is a real
phenomenon so it wasn’t really cheating.
But in re-reading his old letter to me,
I realized that Bill had shown how the
fact that noise was needed to make the
model behave like the subjects could be
used to reveal the the existence of an
internal reference signal in the
subjects. The relevant part of Bill’s
letter that led me to this realization
is here:

                            RM: The important equation is delta h

= - k delta c, which is true only when r
is constant. So with r constant (as it
presumably is in the compensatory
tracking task), r falls out of the
relationship between delta h and delta
c. This suggested that there should be a
correlation between delta c and delta h
if variations in r were the source of
the “noise” that caused the lack of
correlation between c and h. So I looked
at some tracking data that I had on hand
and the results I got a shown in the
first column of the figure below.

                            RM: The correlations between

disturbance and cursor (d-c), cursor and
handle (c-h) and disturbance and handle
(d-h) are what Bill reported in the
Science and Byte articles; correlations
of ~0.0 for the causal path from d to h
(d-c, c-h) and a correlation close to
1.0 between d and h. The most surprising
one being the ~0.0 correlation between c
and h. The next three are the
correlations between the delta values of
those correlations. Here, the most
important one is the very high
correlation between delta c and delta h,
which is what was predicted by the
formula in Bill’s letter: delta h = - k
delta c.

                            RM: This result suggested that the

“noise” that results in a lack of
correlation between c and h comes only
from the reference signal – the “other
stimulus” for h. I tested this by adding
noise (wide band) to the model at two
different points in the causal loop; I
added it to either r or p (which is
equivalent to c since the input function
is taken to be a multiplier of 1). The
results are shown in the columns labeled
“r noise” and “p noise”. These results
are stunning. When noise is added to r,
the model behaves just like the data;
when noise is added to p the model
behaves nothing like the data.

                            RM: I think this result shows rather

clearly that the lack of correlation
between c (“stimulus”) and h
(“response”) that is observed in human
tracking behavior (but not in a
noiseless control model) is a result of
“noisy” variations in r (the other
“stimulus”). This shows that a reference
signal variable, r, must be included in
models of control behavior. The results
of the modeling provides a kind of an
existence proof for the existence of an
autonomously set reference signal that
specifies the desired state of the
input, c. It also shows that nearly all
of the variation in an input variable
that is being kept in a constant
reference state is due to random
variations in the reference
specification for and not in the
perception of the state of that
variable.

                            RM: I still have some more things to

figure out about this but I think this
could make a nice little paper. Comments
and suggestions are welcome.

[Rick Marken 2019-06-13_15:00:13]

[Martin Taylor 2019.06.10.23.27]

RM: I think Bill’s form is correct: ∆h = -k∆c.

MT: So you think the diagram is the one that is wrong, in that it says h

=k∫(r-c) dt, which means dh/dt = k(r -c), which is -kc if r = 0.
dh/dt over one sample period is ∆h, so ∆h = -kc, contradicting
Bill’s text.

RM: Your math seems right. And Bill’s formula seems wrong for the integral output model. But the fact is that Bill’s formula captures what is empirically observed and the correct formula doesn’t. Here is the data for a couple subjects:Â

image613.png

RM: I’ve highlighted the relevant correlations. That between cursor and handle (c-h) is the astonishing one, being close to 0 for both subjects. On the other hand, the correlation between change in cursor and change in handle position ( ∆c - ∆h) is quite high in both cases. If Bill’s formula is correct this high correlation means that the reference for c is close to being constant; so the low correlation between c and h can’t be due to variations in the reference. But the correlation between cursor and change in handle position (c - ∆h) is quite low for both subjects. If your formula is correct, this low correlation means that the low correlation between c and h could, indeed, be due to variations in the reference for c.Â

RM: In order to try to figure out what’s going on I ran a control model with no noise, noise added to the input only and noise added to the reference only. The model is exactly the same as the one Bill drew in his letter to me, with an integral output-- h =k∫(r-c) dt,  Here are the results:

image614.png

RM: First look at the model with no noise. That model has a fixed reference. So if your formula were correct – if ∆h = -kc – then the c- ∆h correlation should be quite high. But it’s only -.2. On the other hand, the correlation between ∆c and ∆h is exactly -1. So the model behaves the way Bill’s formula said it would: ∆h = -k∆c. If Bill’s formula is correct, then the observed high negative correlation between ∆c and ∆h suggests that the observed low correlation between c and h must result from noise at the input, not at the reference. To test this I ran the model adding noise just top the input (c) and just to the reference (r). As you can see, the behavior of the model with noise added to c (c noise) is much closed to that of the subjects than that when noise is added to r.Â

RM: So my current conclusion is that the observed surprising lack of correlation between c and h is a result of noise in the input; perceptual noise. But there are other features of the c noise model that don’t look like the subjects’ behavior. Specifically,the variations in c made by the model are more irregular than those made by the subject. And, of course, I’ve got to figure out why Bill’s equation seems to be right (in the sense that it correctly describes the behavior of the model) and yours is wrong (even though it seems to be mathematically correct.Â

RM: Any ideas.

BestÂ

Rick

Â

image601.png

···
        I think the sign of k depends on how c is computed:Â  h+d

or h-d or d-h. But I think Bill is correct that the
relationship is between ∆h and ∆c and not between ∆h and
c, as per your derivation. This is what I find in the data.
The correlation between ∆h and ∆c is .95 while that
between ∆h and c is .02. And this is true while the
correlation between h and c is nearly 0 (-.006 in my data).

What does any of this have to do with correlation? We are talking

ONLY of the nature of an integral.

But if you want to talk correlation, the correlation between the

waveform input to an integral and its output waveform approaches
zero if you have enough samples. The correlation between h and c
must be zero if you have enough independent samples. That’s what you
found. If x = ∫y dt, then ∆x = y, NOT ∆x = ∆y.

Bill knew that because he knew a little more than calculus 101,

which is more than you need to understand what I am saying, but it
doesn’t mean that he was the only person who never made a “mental
typo” when writing a quick letter.

                    RM: The fact that the r noise model fits the

actual data nearly perfectly (See below)
suggests that the model is on the right track, I
think. But, as I just told Bruce N. there are
discrepancies that make me realize that there is
more work to be done. Â

            MT: Yes. It would be interesting to rewrite the model in

different software, because without the integral
(according to Bill’s text) the data make some sense,

        RM: I'm working on it. It's been surprisingly

frustrating. All I know for sure not is the Bill was right
about there being a high correlation between ∆h and ∆c even
when there is 0 correlation between h and c when the
reference for c is fixed.

He may well be right about that. It's irrelevant to the point that

he made a mistake either in the diagram or in the contradictory
text.

So far as I know, integration results in no intrinsic constraint on

the correlation between ∆h and ∆c. It’s only between the input and
the output sample values of the integrator that the
correlation approaches zero as the number of samples used increases.
There’s no correlation between ∆h and h or between ∆c and c, because
the positive deltas when the waveform is increasing are matched by
the negative deltas when the wave are decreasing through the same
range of values. That means that the intrinsic zero correlation
between h and c tells you nothing about the correlation between ∆h
and ∆c. That correlation is determined elsewhere in the loop.

Martin


Richard S. MarkenÂ

"Perfection is achieved not when you have nothing more to add, but when you
have nothing left to take away.�
                --Antoine de Saint-Exupery

[Martin Taylor 2019.06.13.23.31]

Ned I say it again in plainer language? I guess so: . At least that's true for any input waveform that could be

represented by a Fourier Transform. It’s not very astonishing that
you found this to be true of your simulated integrator.
Proof: Take the Fourier Transform of the input waveform (i.e.
represent it as the sum of a set of sine waves calculated
appropriately). Consider any one of these sine waves by itself. The
output of an integrator that has a sine wave as its input is a
cosine wave of the same frequency. A sine wave is uncorrelated with
a cosine wave of the same frequency. Since no two of the input sine
waves are correlated, no two of the corresponding integrator output
cosine waves are correlated. Since all the cosine wave outputs are
uncorrelated with the corresponding input sine waves, their sum,
which is the output waveform, is uncorrelated with the sum of the
input waves, which is the input waveform.
Martin

image613.png

···

[Rick Marken 2019-06-13_15:00:13]

[Martin Taylor 2019.06.10.23.27]

                      RM: I think Bill's form is correct:  ∆h =

-k∆c.

              MT: So you think the diagram is the one that is wrong,

in that it says h =k∫(r-c) dt, which means dh/dt = k(r
-c), which is -kc if r = 0. dh/dt over one sample
period is ∆h, so ∆h = -kc, contradicting Bill’s text.

            RM: Your math seems right. And Bill's formula seems

wrong for the integral output model. But the fact is
that Bill’s formula captures what is empirically
observed and the correct formula doesn’t. Here is the
data for a couple subjects:

            RM: I've highlighted the relevant correlations. That

between cursor and handle (c-h) is the astonishing one,
being close to 0 for both subjects.

[Martin Taylor 2019.06.10.23.27]

We are talking ONLY of the nature of an integral.

  But if you want to talk correlation, the correlation between the

waveform input to an integral and its output waveform approaches
zero if you have enough samples. The correlation between h and c
must be zero if you have enough independent samples. That’s what
you found. …
*** The
long-term correlation between the input and output of an
integrator is zero***

[Martin Taylor 2019.06.14.13.54]

While we are at it, I guess we might as well look at some other

correlations. There is an impossible pair in your table. The output h is
correlated perfectly (1.000, not 0.999 even) with the disturbance.
This means that apart from a simple multiplier (1.000 if control is
good, as it appears to have been) every change in h is exactly (not
simply “nearly”) matched by the corresponding change in d. So the
∆d:∆h correlation should also be 1.000, but it isn’t. Somehow, even
though d and h are the same waveform, the ∆d:∆h correlations for the
two subjects are 0.338 and 0.577 respectively. Something is wrong
somewhere.
What else we should expect: ∆h:∆c should be near 1.000, and it is.
How can that be, given that ∆h = -kc and c is uncorrelated with ∆c?
If the ∆h:∆c correlation were exactly unity, the two statements
would be contradictory, but they aren’t contradictory because
control is good but not quite perfect. Because the loop is linear,
and from the convergence of d and h around the loop to the
integrator input, all the multipliers are 1.0. Where the output and
the handle converge, c = d-h I assume the sign of the handle
movement was chosen to make it so). However, in order to make sense
of it, we again have to assume that something is wrong with the
assertion that the d:h correlation is unity, because if it was, c
would be permanently equal to the reference value, and since Bill
assumed r=0, it would always be true that c=0. There’s another problem in the correlation table. As you
acknowledge, ∆h = -kc, and yet you find the correlation c:∆h to be
quite low (-0.026 and -0.305), where it should be 1.000.
To me, all these impossibilities suggest one primary possibility –
that either there is a bug in the software, or some data table was
transcribed under the wrong label. This being the case, I would be
inclined to attribute the primary mystery, of why noise in the
reference and noise in the perceptual signal have different effects,
to the same bug. If the effect can be replicated using modern
software and independent recording of what data signify what
variable, then I would think the difference to be something worth
further investigation.
Martin

image613.png

···

[Martin Taylor 2019.06.13.23.31]

  Ned I say it again in plainer language? I guess so: . At least that's true for any input waveform that could be

represented by a Fourier Transform. It’s not very astonishing that
you found this to be true of your simulated integrator.
Proof: Take the Fourier Transform of the input waveform (i.e.
represent it as the sum of a set of sine waves calculated
appropriately). Consider any one of these sine waves by itself.
The output of an integrator that has a sine wave as its input is a
cosine wave of the same frequency. A sine wave is uncorrelated
with a cosine wave of the same frequency. Since no two of the
input sine waves are correlated, no two of the corresponding
integrator output cosine waves are correlated. Since all the
cosine wave outputs are uncorrelated with the corresponding input
sine waves, their sum, which is the output waveform, is
uncorrelated with the sum of the input waves, which is the input
waveform.
Martin

[Rick Marken 2019-06-13_15:00:13]

                [Martin Taylor

2019.06.10.23.27]

                        RM: I think Bill's form is correct:  ∆h =

-k∆c.

                MT: So you think the diagram is the one that is

wrong, in that it says h =k∫(r-c) dt, which means
dh/dt = k(r -c), which is -kc if r = 0. dh/dt over
one sample period is ∆h, so ∆h = -kc, contradicting
Bill’s text.

              RM: Your math seems right. And Bill's formula seems

wrong for the integral output model. But the fact is
that Bill’s formula captures what is empirically
observed and the correct formula doesn’t. Here is the
data for a couple subjects:

              RM: I've highlighted the relevant correlations.

That between cursor and handle (c-h) is the
astonishing one, being close to 0 for both subjects.

[Martin Taylor 2019.06.10.23.27]

We are talking ONLY of the nature of an integral.

    But if you want to talk correlation, the correlation between the

waveform input to an integral and its output waveform approaches
zero if you have enough samples. The correlation between h and
c must be zero if you have enough independent samples. That’s
what you found. …
*** The
long-term correlation between the input and output of an
integrator is zero***

[Rick Marken 2019-06-14_12:13:48]Â Â

[Martin Taylor 2019.06.10.23.27]

MT: We are talking ONLY of the nature of an integral.

RM: I think you were the only one talking about an integral. I’m talking about Bill’s little note in his letter to me where he showed that the basic PCT relationship between input and output – h = k(r-c) – implies that ∆h = -k∆c. The equation h = k(r-c) implies that, with r = 0, h = -kc, leading to the expectation that there would be a negative correlation between h and c. But Bill had shown that there is no correlation between h and c in a compensatory tracking task. I confirmed this in my first PCT relevant paper. Bill’s letter pointed out that h = k(r-c) also implies that there will be a correlation between ∆h and ∆c. So I took a look at some tracking data and found that, indeed, there was quite a high correlation between ∆h and ∆c, even though there is a zero correlation between h and c. At first I thought this meant that reference noise was responsible for the low h- c correlation. But my modeling led me to realize that it implied just the opposite; that the low h - c correlation was a result of input noise. And the modeling suggested that this is indeed the case.

RM: You introduced the idea that Bill simple equation for output as a function of input , h = k (r-c), was wrong because it was inconsistent with his diagram. You said it should be h = k∫(r-c)dt which implies that ∆h = -kc, not ∆h = -k∆c, which would imply a high negative correlation between ∆h and c. But there was no such correlation in the data. I believe your claim is that this low correlation is expected due to the nature of integration. If this were the case, the observed correlation between ∆h and c would be constrained be 0 and it wouldn’t be a very interesting piece of data to look at. But in my simulations I’ve found that the correlation between ∆h and c can get to be quite high (> .6) when noise is added to the input (r-c) to the integration. This is based on 3600 samples, which seems like it should be enough to bring the correlation down to zero if, as you say, the correlation between the input to and output from an integral approaches zero if you have enough samples. I think the problem may be that the output function is actually a leaky integration, which behaves more like a filter. But if I continue work on this project you can write one of your brilliant mathematical critiques if I get it published.Â

RM: But there is still the question of why Bill’s little derivation – ∆h = -k∆c – fits the data and yours – ∆h = -kc doesn’t. This is especially interesting because you believe your equation is based on the correct function relating output to input – h = k∫(r-c)dt – which Bill based his on the wrong one -- Bill based his equation on the wrong one – h = k(r-c). But, as usual, I think the mistake is yours, not Bill’s. Your mistake was deriving a relationship between variablesÂ
∆h and ∆c  from an equation that is part of a set of simultaneous equations that describe the possible functional relationships between variables in a control loop (as shown in Bill’s diagram). To see how the variables in this loop (or their derivatives) are related you have to solve the simultaneous equations that define the loop. Bill derived the relationship between ∆h and ∆c from an equation that describes a relationship between observable variables that is predicted by PCT! The observable variables are c, h and r, where r is the “other stimulus” that Bill mentioned in the letter. It’s a “stimulus” in scare quotes because it is not really a external stimulus variable (like c is) but the state of that variable.Of course, r is determined by an internal reference signal; but that’s just theory. The success of Bill’s little derivation in predicting the relationship between ∆h and ∆c shows that r – the reference state of a controlled variable – is a something that actually exists outside of the control system. I think Bill’s point in the letter was that when you look at the correlation between c and h, you get the surprising result of ~0.0 correlation because you are leaving out the “other stimulus” involved in producing h – the reference state of c. When you differentiate h = k(r-c), you get ∆h = -k∆c; that “other stimulus” (r) falls out of the equation and you do see a relationship between ∆h and ∆c.

BestÂ

Rick

image613.png

···
  But if you want to talk correlation, the correlation between the

waveform input to an integral and its output waveform approaches
zero if you have enough samples. The correlation between h and c
must be zero if you have enough independent samples. That’s what
you found. …

Ned I say it again in plainer language? I guess so: ***        The

long-term correlation between the input and output of an
integrator is zero***.

At least that's true for any input waveform that could be

represented by a Fourier Transform. It’s not very astonishing that
you found this to be true of your simulated integrator.

Proof: Take the Fourier Transform of the input waveform (i.e.

represent it as the sum of a set of sine waves calculated
appropriately). Consider any one of these sine waves by itself. The
output of an integrator that has a sine wave as its input is a
cosine wave of the same frequency. A sine wave is uncorrelated with
a cosine wave of the same frequency. Since no two of the input sine
waves are correlated, no two of the corresponding integrator output
cosine waves are correlated. Since all the cosine wave outputs are
uncorrelated with the corresponding input sine waves, their sum,
which is the output waveform, is uncorrelated with the sum of the
input waves, which is the input waveform.

Martin


Richard S. MarkenÂ

"Perfection is achieved not when you have nothing more to add, but when you
have nothing left to take away.�
                --Antoine de Saint-Exupery

Rick,

it seems that you need “help”… You brought PCT into desperate posittion and I think that we all know this. Whatever you’ve done is irresponsable. Like a child with his toy.

I’ve mentioned many times Rayleigh–Jeans Law. They used wrong interpretation and numbers to describee whatever they thought was happening in physical reality. Physical experiments didn’f feet in their equations. And the same is happening to your “calculations” of control loop. They don’t feet reality or real experiments made in reality.

So you’ll have to prove your new invention with more experiments and everyday behaviors :

RM : The success of Bill’s little derivation predicting the relationship between ∆h and ∆c shows that r – the reference state of a controlled variable – is a something that actually exists outside of the control system.

HB : So Rick we are waiting that you prove your new invention with experiments and analysis of everyday behaviors. Where is “the reference state of controlled variable” outside the system when you are sleeping, sun-bathing, walking, observing… So what we want is to confirm your “new theory” with &“facts”.

If words or numbers turn to describe wrongly what is happening in Reality (and yours words and numbers with no doubt are of this kind) than we have to change interpretations or calculations. I hope you will not say that Reality has to be changed to fit your calculations.

Whatever you wrote or present can’t be confirmed with many behaviors. And that’s what theory is for. To test it in Reality. So why don’t you start conforming your nonsense with behaviors in Reality. Problem is that your theory will not work in 3-D space (because it works only in x and y dimension). When you’ll test your RCT with for ex. 50 behaviors it will turn out that you don’t “control behavior” and that there is no “controlled variable” in environment and that “behavior is not control of perception” because perceptual signal does not behave. Where did you find all that imaginational constructs ???

Most problematic is that your new “invention” is not confirming PCT. You are contradicting as usually. You are trying to change PCT again as so many times before. You have one clear goal. You try to prove that there exist control in outer environment and it can be perceived through “Controlled Perceptual Variable” or CPV.

The top problem in RCT thoery is that you still beleive that :

  1. Behavior is control

  2. There is some controlled variable in external environment and

  3. There is some “Controlled Perceptual Variable” or CPV in afferent neuron amd that "perceptual signal behave in control manner … What a construct ???

It’s obvious that you are changing means to achieve your goal with turning words arround, redefining loop and all nonsesne stuff which has practically nothing to do with science and PCT. It’s wrong goal a far as PCT is concerned. I’m still missing Bills citations and his diagrams, and of course references that would point to him not to your useless “Mindreadings” and tests and so on. The question is whether Powers Ladies will allow you change PCT or at least it’s definition of control ? I’ll try to show what are you trying to change ???

Let us start again with LCS diagram LCS III.

image002109.jpg

RM : Of course, r is determined by an internal reference signal; but that’s just theory.

HB : Do you understand what is reference signal in “fact” or better “reference state” that reference signal is representing ? This is the essence of Bills theory and can’t be just “theory”, because it’s supported with physiological evidences. It’s about how organisms function. Go and look where references are originating. Is genetic engineering theoretical science ? Laser, chemical “scalpels” are just theory and imagination ? Do you have any idea to where science already came ?

By your understanding of physiological functioning of organisms doctors are theoretically recovering people to homeostasis (reference state) ??? How does this theorethical recovering look like in practice ?

It seems that you are dreaming with opened eyes Rick. For you PCT is theorethical playground behind computer (as goes probably for Martin and Bruce Nevin too) and you are drawning the whole CSGnet into “middle age” darkness with your RCT theoretical background. Go and read Bills literature until you’ll understand what in fact Bills PCT is explaining.

Â

RM : The success of Bill’s little derivation predicting the relationship between ∆h and ∆c shows that r – the reference state of a controlled variable – is a something that actually exists outside of the control system.

HB : I’m really wondering what’s wrong with you. Your picture of how organisms function is pure imagination. It has nothing to do with reality. You are adapting everything in the way to prove your point, which is simply wrong. There is not “Control of output”, there is no “controlled variable” outside and thes is no “controlled input” or CPV.

Explain to us how the relationship between ∆h and ∆c shows that r show existance of reference state of “controlled variable” in environment when you are sleeping, observing, walking, sitting and thinking etc. How many times do I have to tell you that you need to analyse more behaviors and make more experiments so that you can get firm general theoretical background for what you are claiming. Whatever you try to prove has the same problem as Rayleigh–Jeans Law. Experiments and analyssis of behaviors do not confirm your theorethical playground. Where is reference state of a controlled variable in environment when you are sleeping, observing … ?

···

But let us see how your fantasy can be incorporated into PCT. Maybe will talk also about what’s the value of your fantasy construct in relation to how organisms function.

Bill P (B:CP):

CONTROL : Achievement and maintenance of a preselected state in the controlling system, through actions on the environment that also cancel the effects of disturbances.

HB : We can see that definition of control in Bills theory does not predict “reference state of controlled variable” outside of the control system but inside control system. There are just reference states inside the system where controlling is done. There is no CANNONICAL PRINCIPLE in PCT.

Your assumption that “reference signal” (r) is just a fiction or theory is wrong. Also assumption that there is some “reference state of controlled variable” outside is wrong because there is no such thing in PCT (see diagram LCS III). If what you are saying is true, Bills definition would look like :

New RCT definition of control :

CONTROL : Achievement and maintenance of a preselected state in the controlling system, through actions on the environment that also cause reference state in a controlled variable which actually exist in outer environment.

HB : And that is cannonical principle which we already established that is wrong as it means that to the extend that organims control inside they control also outside and vica verse. There is no such thing in PCT although you could explain one or two behaviors that could resemble to what you are saying. On the basis of one or two experiments behind computer you can get explanation or interpretations of behaviors that could be just partial but wrong theory in general sense when trying to explain all behaviors.

So you couldn’t explain mass of behaviors or all of behaviors. Just some. So whatever you are proposing is not general theory. It’s some partial construct.

We have to understand that RCT new definition of control tends to be general as Bill Powers definition of control is general. It is valid for all behaviors. But Ricks is not. So Rick are you proposing a change in Bills general definition of control? Powers ladies (who hates me) probably becasue I’m criticizing Rick, will you support that change ?

HB : If you’ll change definition of control I assume that also other definitions of PCT control loop has to be changed :

Bill P (B:CP):

OUTPUT FUNCTION : The portion of a system that converts the magnitude or state of a signal inside the system into a corresponding set of effects on the immediate environment of the system

Bill P (LCS III):…the output function shown in it’s own box reepresents the means this system has for causing changes in it’s environment.

New RCT definition :

OUTPUT FUNCTION : The portion of a system that converts the magnitude or state of a signal inside the system into a corresponding CONTROLLED set of effects on the immediate environment of the system… the means that thiss system has for causing CONTROLLED CHANGES to “reference state of controlled variable” that actually exist in outer environment.

HB : Let me remind members again that also this RCT definition has effect of generality. And of course it’s not. It’s valid only for all “controlled behaviors” that are “pushing controlled variable” (Ricks definition of controlled behavior) outside the system into reference state. And that is not what is really happening when organisms behave.

It’s Ricks imagination. Controlled behavior is not “pushing” perception to reference state. It’s easy to prove with any experiment in nature, which is slow enough so that this characteristic of control system can be clearly seen.

Now the “input function”.

In PCT “Input function” is :

Bill P (B:CP) :

INPUT FUNCTION : The portion of a system that receives signals or stimuli from outside the system, and generates a perceptual signal that is some function of the received signals or stimuli.

New RCT definition of “INPUT FUNCTION” :

The portion of a system that receives signals or stimuli from “controlled variable” outside the system which is in reference state or is approaching to reference state, and generates a perceptual signal that is some function of the received signals or stimuli of “controlled variable in reference state” or “controlled variable” outside the system that is approaching to reference state “pushed” by “controlled behavior”.Â

COMPARATOR : ???

ERROR : ???

ERROR SIGNAL : ???

What a mess… As I wrote maany times before. There is no place for friendship in science. I hope that all PhD members or members with expert titles will support my statement ? We can not let Rick to promote wrong theory. It’s good friendship gesture, but fatal for PCT as a science.

Boris

P.S. If Powers ladies would need some help in deciding what to do you can write to me. I’ll explain to you in some limits what’s the problem in Ricks RCT thinking. Although I did it for I don’t know how many times. But if you have some “group of experts” who is doing that, why they didn’t “react” ? Do they also think that PCT is about “Control of behavior” and “some controlled variable outside the system” and of course “Controlled Perceptual Variable” or CPV or “Controlled input”.

From: Richard Marken (rsmarken@gmail.com via csgnet Mailing List) csgnet@lists.illinois.edu
Sent: Friday, June 14, 2019 9:15 PM
To: csgnet csgnet@lists.illinois.edu
Subject: Re: The other “stimulus” (was Re: Please help ID important CSGnet threads)

[Rick Marken 2019-06-14_12:13:48]

[Martin Taylor 2019.06.10.23.27]

MT: We are talking ONLY of the nature of an integral.

RM: I think you were the only one talking about an integral. I’m talking about Bill’s little note in his letter to me where he showed that the basic PCT relationship between input and output – h = k(r-c) – implies that ∆h = -k∆c. The equation h = k(r-c) implies that, with r = 0, h = -kc, leading to the expectation that there would be a negative correlation between h and c. But Bill had shown that there is no correlation between h and c in a compensatory tracking task. I confirmed this in my first PCT relevant paper. Bill’s letter pointed out that h = k(r-c) also implies that there will be a correlation between ∆h and ∆c. So I took a look at some tracking data and found that, indeed, there was quite a high correlation between ∆h and ∆c, even though there is a zero correlation between h and c. At first I thought this meant that reference noise was responsible for the low h- c correlation. But my modeling led me to realize that it implied just the opposite; that the low h - c correlation was a result of input noise. And the modeling suggested that this is indeed the case.

RM: You introduced the idea that Bill simple equation for output as a function of input , h = k (r-c), was wrong because it was inconsistent with his diagram. You said it should be h = k∫(r-c)dt which implies that ∆h = -kc, not ∆h = -k∆c, which would imply a high negative correlation between ∆h and c. But there was no such correlation in the data. I believe your claim is that this low correlation is expected due to the nature of integration. If this were the case, the observed correlation between ∆h and c would be constrained be 0 and it wouldn’t be a very interesting piece of data to look at. But in my simulations I’ve found that the correlation between ∆h and c can get to be quite high (> .6) when noise is added to the input (r-c) to the integration. This is based on 3600 samples, which seems like it should be enough to bring the correlation down to zero if, as you say, the correlation between the input to and output from an integral approaches zero if you have enough samples. I think the problem may be that the output function is actually a leaky integration, which behaves more like a filter. But if I continue work on this project you can write one of your brilliant mathematical critiques if I get it published.

RM: But there is still the question of why Bill’s little derivation – ∆h = -k∆c – fits the data and yours – ∆h = -kc doesn’t. This is especially interesting because you believe your equation is based on the correct function relating output to input – h = k∫(r-c)dt – which Bill based his on the wrong one – Bill based his equation on the wrong one – h = k(r-c). But, as usual, I think the mistake is yours, not Bill’s. Your mistake was deriving a relationship between variables ∆h and ∆c from an equation that is part of a set of simultaneous equations that describe the possible functional relationships between variables in a control loop (as shown in Bill’s diagram). To see how the variables in this loop (or their derivatives) are related you have to solve the simultaneous equations that define the loop. Bill derived the relationship between ∆h and ∆c from an equation that describes a relationship between observable variables that is predicted by PCT! The observable variables are c, h and r, where r is the “other stimulus” that Bill mentioned in the letter. It’s a “stimulus” in scare quotes because it is not really a external stimulus variable (like c is) but the state of that variable.Of course, r is determined by an internal reference signal; but that’s just theory. The success of Bill’s little derivation in predicting the relationship between ∆h and ∆c shows that r – the reference state of a controlled variable – is a something that actually exists outside of the control system.

HB : This is something what you want to beleive. First you are claiming that what Martin says that Bill is wrong and you say, that Bill is right. A little later you claim that Bills “r” is just a theory, so he might be wrong. But big Rick Marken solved the riddle. I’m sorry to say Rick. You are bullshitting again.

Give us some other experiments that will work as you predicted in your “mathematical” discourse. You can’t make generalization on one experiment. How many times do I have to repeat that. This is not how organsims function. I can demonstrate you at least 10 experiments which will show that you are wrong about existance of reference states outside no matter how “mathematically” precise you think that you are “calculating” how PCT control loop function.

So it’s sure not true how ever you read Bills notes or diagram what you are saying. There is no reference states of external variables. It’s opposing basic deffinition of control in PCT.

Bill P (B:CP):

CONTROL : Achievement and maintenance of a preselected state in the controlling system, through actions on the environment that also cancel the effects of disturbances.

If what you are saying is right :

RM : ….predicting the relationship between ∆h and â∆c shows that r – the reference state of a controlled variable – is a something that actually exists outside of the control system.

HB : …then it’s obviously that Biills definition of control is wrong. Will you try to change it ? Will Powers ladies who hates me (because I’m ciriticizing you) allow that ?

Nothing is controlled outside, although behavior involve control as you wrote once. But not for controlling outside but insdie. There are just effects to external environment, not “controlled effects”. If we stick to PCT. But if you want to change also that try.

Bill P (B:CP):

OUTPUT FUNCTION : The portion of a system that converts the magnitude or state of a signal inside the system into a corresponding set of effects on the immediate environment of the system

Bill P (LCS III):…the output function shown in it’s own box represents thhe means this system has for causing changes in it’s environment.

HB : You see . There is no “controlled changes”, so that you can “push” external variable into “reference state”.Â

Only in imagination person which is observing can beleive that “reference state” is outhere. But still that means that references are inside not outside. References outside are illusion (even in tracking experiment you can see that). Bill quite nicely and efficiently described why references outside are illusion. Whatever you are trying to prove has to be in accordance to PCT and all experiments that will be made in future has to be in accordance at least to definitions of control loop in PCT theory. Otherwise you are proving that PCT theory is wrong. I’ll not mention problems which you’ll have when you’ll try to transform your “mathematics” into organisms functioning.

O.K. show us how your “calculations” work in sleeping behavior, observing and for ex. in “forhand shot” which you mentioned in your play.

Where is "reference state of of controlled variable existing outside ??? And there are many more behaviors you’ll have to analyse which will not show any “reference state of controlled variable outside”.Â

I already explained that you look upon “forehand” behavior from wrong “angle”. It seems that Martin understood what I was saying as he made a copy of similar analysis in “everyday actions”. Â

I think that problem is that you can’t perceive reference state of some external variable, because reference signal for perceptual variable is inside the system. How can you perceive something that is not yet matched to reference and claime that perception is already showing reference state outside ? Until it is matched to reference signal you can’t say anything about the value of perceptual signal in control sense, because actions (outputs) are not controlled to that level that you can say that actions “pushed controlled variable” outside into reference state and you perceived it. Anyway even if that would be true you could use it only for some behaviors not in general sense. We already established that there is no “canonical principle” in PCT. At least when we are generally speaking about PCT. You can’t make general conclusions on one case. You have to make many case theory. If your PhD is real then you should know how scientifc work should be done.

RM : I think Bill’s point in the letter was that when you look at the correlation between c and h, you get the surprising result of ~0.0 correlation because you are leaving out the “other stimulus” involved in producing h – the reference state of c. When you differentiate h = k(r-c), you get ∆h = -k∆c; that “other stimulus” (r) falls out of the equation and you do see a relationship between ∆h and ∆c.

HB : You think ??? Well you’ll have to try again with another behavior. I think that your thinking is wrong in general sense. You are analyzing Bills’ text from your RCT point of view so you have troubles. You still don’t understand PCT and speccially not how organisms function. Playing with “mathematics” behind computer will not give you solution to understanding all behaviors that human organism can produce. And more behaviors you analyze more precise your theory will be.

Boris

Best

Rick

But if you want to talk correlation, the correlation between the waveform input to an integral and its output waveform approaches zero if you have enough samples. The correlation between h and c must be zero if you have enough independent samples. That’s what you found. …
Ned I say it again in plainer language? I guess so: The long-term correlation between the input and output of an integrator is zero.

At least that’s true for any input waveform that could be represented by a Fourier Transform. It’s not very astonishing that you found this to be true of your simulated integrator.

Proof: Take the Fourier Transform of the input waveform (i.e. represent it as the sum of a set of sine waves calculated appropriately). Consider any one of these sine waves by itself. The output of an integrator that has a sine wave as its input is a cosine wave of the same frequency. A sine wave is uncorrelated with a cosine wave of the same frequency. Since no two of the input sine waves are correlated, no two of the corresponding integrator output cosine waves are correlated. Since all the cosine wave outputs are uncorrelated with the corresponding input sine waves, their sum, which is the output waveform, is uncorrelated with the sum of the input waves, which is the input waveform.

Martin

Richard S. Marken

"Perfection is achieved not when you have nothing more to add, but when you
have nothing left to take away.�
–Antoine de Saint-Exupery

[Rick Marken 2019-07-17_14:46:23]

BH: The top problem in RCT thoery is that you still beleive that :

  1. Behavior is control
  2. There is some controlled variable in external environment and
  3. There is some “Controlled Perceptual Variable” or CPV in afferent neuron amd that "perceptual signal behave in control manner … What a construcct ???

RM:Â I do believe (1) that behavior is control. I believe it because it is a demonstrable fact. And it is the fact that PCT was developed to explain. And thanks for getting it right, finally. You typically say that I believe that “behavior is controlled”. I don’t.Â

RM: I don’t believe (2) that controlled variables necessarily exist in the external environment. Controlled variables above the level of intensity perceptions are assumed to be functions of physical variables. I believe this because it an assumption of the PCT model and I have found that models that control variables that are a function of physical variables account for behavioral data quite accurately.

RM: I have no idea what (3) means.Â

Rick

Â

image002109.jpg

···

Richard S. MarkenÂ

"Perfection is achieved not when you have nothing more to add, but when you
have nothing left to take away.�
                --Antoine de Saint-Exupery

Richard S. MarkenÂ

"Perfection is achieved not when you have nothing more to add, but when you
have nothing left to take away.�
                --Antoine de Saint-Exupery

Oh Rick, Rick…Ii’ll start charging you my PCT instructions.

Your questions and staements didn’t change at least 6 years. I’ve answered you on the same subject more than 50 x with Bills’ citations ans scientific evidences. Go and look into CSGnet archives. You’ll find all explanaitons you need for answering what you show here that you don’t understand about PCT.

I have enough of repeating the same things all over again.

You have 20 days to scroll out informations you need for understanding what you don’t understand about PCT and “Control of perception”. Then we’ll see if you learned something. For now I’ll just add some of yours citations (from CSGnet archives) and your versions of RCT (older and newer) and Bills’ PCT in form of definitions and diagram LCS III (as usuall. I don’t have time for instruction now, because I’d like to have 20 day peace on sea-side. You should go to.

Boris

image002109.jpg

···

From: Richard Marken (rsmarken@gmail.com via csgnet Mailing List) csgnet@lists.illinois.edu
Sent: Wednesday, July 17, 2019 11:47 PM
To: csgnet csgnet@lists.illinois.edu
Subject: Re: The other “stimulus” (was Re: Please help ID important CSGnet threads)

Manjša : 77.5 x 33.4, debelina 7mm

VeÄ?ja : 80.3 x 34.8, debeline 18mm

[Rick Marken 2019-07-17_14:46:23]

On Wed, Jul 17, 2019 at 12:49 AM “Boris Hartman” csgnet@lists.illinois.edu wrote:

BH: The top problem in RCT thoery is that you still beleive that :

  1. Behavior is control
  1. There is some controlled variable in external environment and
  1. There is some “Controlled Perceptual Variable” or CPV in afferent neuron amd that "perceptual signal behave in control manner … What a construct ???

<

RM: I do believe (1) that behavior is control. I believe it because it is a demonstrable fact. And it is the fact that PCT was developed to explain.

Bill P. at all (50th Anniversary, 2011) : Perceptual Control Theory (PCT) provides a general theory of functioning for organisms.

HB : Demostrate to us how “Behavior is control” with “controlled variable” look like through sleeping… You can also show us how your RCT works throughh many other everyday behaviors.

RM (earlier) : Sleeping is a tough one but I think it is controlling done by the autonomic nervous system that has the aim of keeping some intrinsic physiological variables in genetically determined reference states.

HB : How can people survive with not “controlling behavior” and “controlled variables” in outer environment for more hours. Usually people die if they don’t control for few minutes.

RM :And thanks for getting it right, finally. You typically say that I believe that “behavior is controlled”. I don’t.

RM earlier : I have said that behavior can be controlled. (Search a little bit through archives, you’ll find more)

RM: I don’t believe (2) that controlled variables necessarily exist in the external environment.

HB : What does it mean not “necessarily” ??? Once control and “controlled variable” exist in outer environment and once don’t exist. It’s fifty-fifty ??? Tombola ??? PCT is not Lottery. It’s science which need evidences. And you are not showing them as usual.

RM : Controlled variables above the level of intensity perceptions are assumed to be functions of physical variables. I believe this because it an assumption of the PCT model and I have found that models that control variables that are a function of physical variables account for behavioral data quite accurately.

RM: I have no idea what (3) means.

RM earlier : PCT does assume that the controlled perceptual variable is constructed… (go through archives, you’ll find more)

HB : In your older version of RCT about which you didn’t object for years (go see archives) you were talking about :

  1. CONTROL : Keeping of some »aspect of outer environment« in reference state, protected (defended) from disturbances.

  2. OUTPUT FUNCTION : controlled effects (control of behavior) to outer environment so to keep some »controlled variable« in reference state

  3. FEED-BACK FUNCTION : »Control« of some »aspect of outer environment« in reference state.

  4. INPUT FUNCTION : produce »Controlled Perceptual Variable« or »Controlled Perception«, the perceptual correlate of »controlled q.i.«

  5. COMPARATOR : ???

  6. ERROR SIGNAL : ???

HB : But than recently you changed a little your mind :

RM : And here is my corrected version:

  1. CONTROL : Keeping of some aspect of outer environment – the controlled variable – in a reference state, protected from disturbances.

  2. OUTPUT FUNCTION : Function that converts an error signal into an output variable that has effects in the environment.

  3. FEED-BACK FUNCTION : Physical laws that determine effect of system outputs on a controlled variable.

  4. INPUT FUNCTION : Function that converts sensory or perceptual inputs into a perceptual signal that is an analog of the aspect of the environment – the controlled variable – defined by the nature of this function.

  5. COMPARATOR : Function that takes a perceptual and a reference signal as input and produces an error signal as output, the error signal being proportional to the difference between the inputs to this function.

  6. ERROR SIGNAL : The output of the comparator function.

  7. CONTROLLED VARIABLE (or CONTROLLED QUANTITY): The aspect of the environment, defined by the input function, that is controlled by a control system.

HB : We can see that in comparison to Bill’s theory and his definitions of “control loop” these are so big differences that we can easily talk about some strange “non PCT theory”. Why don’t you use your RCT and establish your own forum for theory about “Behavior is control”. Here we are because we beleive in “Control of perception” not behavior.

PCT Definitions of control loop as the core part of Glossary in B:CP :

Bill P (B:CP):

  1. CONTROL : Achievement and maintenance of a preselected state in the controlling system, through actions on the environment that also cancel the effects of disturbances.

Bill P (B:CP):

  1. OUTPUT FUNCTION : The portion of a system that converts the magnitude or state of a signal inside the system into a corresponding set of effects on the immediate environment of the system

Bill P (LCS III):…the output function shown in it’s own box represents the means this system has for causing changes in it’s environment.

Bill P (LCS III):

  1. FEED-BACK FUNCTION : The box represents the set of physical laws, properties, arrangements, linkages, by which the action of this system feeds-back to affect its own input, the controlled variable. That’s what feed-back means : it’s an effect of a system’s output on it’s own input.

Bill P (B:CP) :

  1. INPUT FUNCTION : The portion of a system that receives signals or stimuli from outside the system, and generates a perceptual signal that is some function of the received signals or stimuli.

Bill P (B:CP) :

  1. COMPARATOR : The portion of control system that computes the magnitude and direction of mismatch between perceptual and reference signal.

Bill P (B:CP)

  1. ERROR : The discrepancy between a perceptual signal and a reference signal, which drives a control system’s output function. The discrepancy between a controlled quantity and it’s present reference level, which causes observable behavior.

Bill P (B:CP) :

  1. ERROR SIGNAL : A signal indicating the magnitude and direction of error.

cid:image001.jpg@01D37ABE.36063DF0

Boris

Rick

It’s obvious that you are changing means to achieve your goal with turning words arround, redefining loop and all nonsesne stuff which has practically nothing to do with science and PCT. It’s wrong goal a far as PCT is concerned. I’m still missing Bills citations and his diagrams, and of course references that would point to him not to your useless “Mindreadings” and tests and so on. The question is whether Powers Ladies will allow you change PCT or at least it’s definition of control ? I’ll try to show what are you trying to change ???

Let us start again with LCS diagram LCS III.

cid:image001.jpg@01D37ABE.36063DF0

RM : Of course, r is determined by an internal reference signal; but that’s just theory.

HB : Do you understand what is reference signal in “fact” or better “reference state” that reference signal is representing ? This is the essence of Bills theory and can’t be just “theory”, because it’s supported with physiological evidences. It’s about how organisms function. Go and look where references are originating. Is genetic engineering theoretical science ? Laser, chemical “scalpels” are just theory and imagination ? Do you have any idea to where science already came ?

By your understanding of physiological functioning of organisms doctors are theoretically recovering people to homeostasis (reference state) ??? How does this theorethical recovering look like in practice ?

It seems that you are dreaming with opened eyes Rick. For you PCT is theorethical playground behind computer (as goes probably for Martin and Bruce Nevin too) and you are drawning the whole CSGnet into “middle age” darkness with your RCT theoretical background. Go and read Bills literature until you’ll understand what in fact Bills PCT is explaining.

RM : The success of Bill’s little derivation predicting the relationship between ∆h and ∆c shows that r – the reference state of a controlled variable – is a something that actually exists outside of the control system.

HB : I’m really wondering what’s wrong with you. Your picture of how organisms function is pure imagination. It has nothing to do with reality. You are adapting everything in the way to prove your point, which is simply wrong. There is not “Control of output”, there is no “controlled variable” outside and thes is no “controlled input” or CPV.

Explain to us how the relationship between ∆h and ∆c shows that r show existance of reference state of “controlled variable” in environment when you are sleeping, observing, walking, sitting and thinking etc. How many times do I have to tell you that you need to analyse more behaviors and make more experiments so that you can get firm general theoretical background for what you are claiming. Whatever you try to prove has the same problem as Rayleigh–Jeans Law. Experiments and analysis of behaviorss do not confirm your theorethical playground. Where is reference state of a controlled variable in environment when you are sleeping, observing … ?


But let us see how your fantasy can be incorporated into PCT. Maybe will talk also about what’s the value of your fantasy construct in relation to how organisms function.

Bill P (B:CP):

CONTROL : Achievement and maintenance of a preselected state in the controlling system, through actions on the environment that also cancel the effects of disturbances.

HB : We can see that definition of control in Bills theory does not predict “reference state of controlled variable” outside of the control system but inside control system. There are just reference states inside the system where controlling is done. There is no CANNONICAL PRINCIPLE in PCT.

Your assumption that “reference signal” (r) is just a fiction or theory is wrong. Also assumption that there is some “reference state of controlled variable” outside is wrong because there is no such thing in PCT (see diagram LCS III). If what you are saying is true, Bills definition would look like :

New RCT definition of control :

CONTROL : Achievement and maintenance of a preselected state in the controlling system, through actions on the environment that also cause reference state in a controlled variable which actually exist in outer environment.

HB : And that is cannonical principle which we already established that is wrong as it means that to the extend that organims control inside they control also outside and vica verse. There is no such thing in PCT although you could explain one or two behaviors that could resemble to what you are saying. On the basis of one or two experiments behind computer you can get explanation or interpretations of behaviors that could be just partial but wrong theory in general sense when trying to explain all behaviors.

So you couldn’t explain mass of behaviors or all of behaviors. Just some. So whatever you are proposing is not general theory. It’s some partial construct.

We have to understand that RCT new definition of control tends to be general as Bill Powers definition of control is general. It is valid for all behaviors. But Ricks is not. So Rick are you proposing a change in Bills general definition of control? Powers ladies (who hates me) probably becasue I’m criticizing Rick, will you support that change ?

HB : If you’ll change definition of control I assume that also other definitions of PCT control loop has to be changed :

Bill P (B:CP):

OUTPUT FUNCTION : The portion of a system that converts the magnitude or state of a signal inside the system into a corresponding set of effects on the immediate environment of the system

Bill P (LCS III):…the output function shown in it’s own box represents the means this system has for causing changes in it’s environment.

New RCT definition :

OUTPUT FUNCTION : The portion of a system that converts the magnitude or state of a signal inside the system into a corresponding CONTROLLED set of effects on the immediate environment of the system… the means that this system has for causing CONTROLLED CCHANGES to “reference state of controlled variable” that actually exist in outer environment.

HB : Let me remind members again that also this RCT definition has effect of generality. And of course it’s not. It’s valid only for all “controlled behaviors” that are “pushing controlled variable” (Ricks definition of controlled behavior) outside the system into reference state. And that is not what is really happening when organisms behave.

It’s Ricks imagination. Controlled behavior is not “pushing” perception to reference state. It’s easy to prove with any experiment in nature, which is slow enough so that this characteristic of control system can be clearly seen.

Now the “input function”.

In PCT “Input function” is :

Bill P (B:CP) :

INPUT FUNCTION : The portion of a system that receives signals or stimuli from outside the system, and generates a perceptual signal that is some function of the received signals or stimuli.

New RCT definition of “INPUT FUNCTION” :

The portion of a system that receives signals or stimuli from “controlled variable” outside the system which is in reference state or is approaching to reference state, and generates a perceptual signal that is some function of the received signals or stimuli of “controlled variable in reference state” or “controlled variable” outside the system that is approaching to reference state “pushed” by “controlled behavior”.

COMPARATOR : ???

ERROR : ???

ERROR SIGNAL : ???

What a mess… AAs I wrote many times before. There is no place for friendship in science. I hope that all PhD members or members with expert titles will support my statement ? We can not let Rick to promote wrong theory. It’s good friendship gesture, but fatal for PCT as a science.

Boris

P.S. If Powers ladies would need some help in deciding what to do you can write to me. I’ll explain to you in some limits what’s the problem in Ricks RCT thinking. Although I did it for I don’t know how many times. But if you have some “group of experts” who is doing that, why they didn’t “react” ? Do they also think that PCT is about “Control of behavior” and “some controlled variable outside the system” and of course “Controlled Perceptual Variable” or CPV or “Controlled input”.

From: Richard Marken (rsmarken@gmail.com via csgnet Mailing List) csgnet@lists.illinois.edu
Sent: Friday, June 14, 2019 9:15 PM
To: csgnet csgnet@lists.illinois.edu
Subject: Re: The other “stimulus” (was Re: Please help ID important CSGnet threads)

[Rick Marken 2019-06-14_12:13:48]

[Martin Taylor 2019.06.10.23.27]

MT: We are talking ONLY of the nature of an integral.

RM: I think you were the only one talking about an integral. I’m talking about Bill’s little note in his letter to me where he showed that the basic PCT relationship between input and output – h = k(r-c) – implies that ∆h = -k∆c. The equation h = k(r-c) implies that, with r = 0, h = -kc, leading to the expectation that there would be a negative correlation between h and c. But Bill had shown that there is no correlation between h and c in a compensatory tracking task. I confirmed this in my first PCT relevant paper. Bill’s letter pointed out that h = k(r-c) also implies that there will be a correlation between ∆h and ∆c. So I took a look at some tracking data and found that, indeed, there was quite a high correlation between ∆h and ∆c, even though there is a zero correlation between h and c. At first I thought this meant that reference noise was responsible for the low h- c correlation. But my modeling led me to realize that it implied just the opposite; that the low h - c correlation was a result of input noise. And the modeling suggested that this is indeed the case.

RM: You introduced the idea that Bill simple equation for output as a function of input , h = k (r-c), was wrong because it was inconsistent with his diagram. You said it should be h = k∫(r-c)dt which implies that ∆h = -kc, not ∆h = -k∆c, which would imply a high negative correlation between ∆h and c. But there was no such correlation in the data. I believe your claim is that this low correlation is expected due to the nature of integration. If this were the case, the observed correlation between ∆h and c would be constrained be 0 and it wouldn’t be a very interesting piece of data to look at. But in my simulations I’ve found that the correlation between ∆h and c can get to be quite high (> .6) when noise is added to the input (r-c) to the integration. This is based on 3600 samples, which seems like it should be enough to bring the correlation down to zero if, as you say, the correlation between the input to and output from an integral approaches zero if you have enough samples. I think the problem may be that the output function is actually a leaky integration, which behaves more like a filter. But if I continue work on this project you can write one of your brilliant mathematical critiques if I get it published.

RM: But there is still the question of why Bill’s little derivation – ∆h = -k∆c – fits the data and yours – ∆h = -kc doesn’t. This is especially interesting because you believe your equation is based on the correct function relating output to input – h = k∫(r-c)dt – which Bill based his on the wrong one – Bill based his equation on the wrong one – h = k(r-c). But, as usual, I think the mistake is yours, not Bill’s. Your mistake was deriving a relationship between variables ∆h and ∆c from an equation that is part of a set of simultaneous equations that describe the possible functional relationships between variables in a control loop (as shown in Bill’s diagram). To see how the variables in this loop (or their derivatives) are related you have to solve the simultaneous equations that define the loop. Bill derived the relationship between ∆h and ∆c from an equation that describes a relationship between observable variables that is predicted by PCT! The observable variables are c, h and r, where r is the “other stimulus” that Bill mentioned in the letter. It’s a “stimulus” in scare quotes because it is not really a external stimulus variable (like c is) but the state of that variable.Of course, r is determined by an internal reference signal; but that’s just theory. The success of Bill’s little derivation in predicting the relationship between ∆h and ∆c shows that r – the reference state of a controlled variable – is a something that actually exists outside of the control system.

HB : This is something what you want to beleive. First you are claiming that what Martin says that Bill is wrong and you say, that Bill is right. A little later you claim that Bills “r” is just a theory, so he might be wrong. But big Rick Marken solved the riddle. I’m sorry to say Rick. You are bullshitting again.

Give us some other experiments that will work as you predicted in your “mathematical” discourse. You can’t make generalization on one experiment. How many times do I have to repeat that. This is not how organsims function. I can demonstrate you at least 10 experiments which will show that you are wrong about existance of reference states outside no matter how “mathematically” precise you think that you are “calculating” how PCT control loop function.

So it’s sure not true how ever you read Bills notes or diagram what you are saying. There is no reference states of external variables. It’s opposing basic deffinition of control in PCT.

Bill P (B:CP):

CONTROL : Achievement and maintenance of a preselected state in the controlling system, through actions on the environment that also cancel the effects of disturbances.

If what you are saying is right :

RM : ….predicting the relationshhip between ∆h and ∆c shows that r – the reference state of a controlled variable – is a something that actually exists outside of the control system.

HB : …then it’s obviously that Bills definnition of control is wrong. Will you try to change it ? Will Powers ladies who hates me (because I’m ciriticizing you) allow that ?

Nothing is controlled outside, although behavior involve control as you wrote once. But not for controlling outside but insdie. There are just effects to external environment, not “controlled effects”. If we stick to PCT. But if you want to change also that try.

Bill P (B:CP):

OUTPUT FUNCTION : The portion of a system that converts the magnitude or state of a signal inside the system into a corresponding set of effects on the immediate environment of the system

Bill P (LCS III):…the output function shown in it’s own box reepresents the means this system has for causing changes in it’s environment.

HB : You see . There is no “controlled changes”, so that you can “push” external variable into “reference state”.

Only in imagination person which is observing can beleive that “reference state” is outhere. But still that means that references are inside not outside. References outside are illusion (even in tracking experiment you can see that). Bill quite nicely and efficiently described why references outside are illusion. Whatever you are trying to prove has to be in accordance to PCT and all experiments that will be made in future has to be in accordance at least to definitions of control loop in PCT theory. Otherwise you are proving that PCT theory is wrong. I’ll not mention problems which you’ll have when you’ll try to transform your “mathematics” into organisms functioning.

O.K. show us how your “calculations” work in sleeping behavior, observing and for ex. in “forhand shot” which you mentioned in your play.

Where is "reference state of of controlled variable existing outside ??? And there are many more behaviors you’ll have to analyse which will not show any “reference state of controlled variable outside”.

I already explained that you look upon “forehand” behavior from wrong “angle”. It seems that Martin understood what I was saying as he made a copy of similar analysis in “everyday actions”.

I think that problem is that you can’t perceive reference state of some external variable, because reference signal for perceptual variable is inside the system. How can you perceive something that is not yet matched to reference and claime that perception is already showing reference state outside ? Until it is matched to reference signal you can’t say anything about the value of perceptual signal in control sense, because actions (outputs) are not controlled to that level that you can say that actions “pushed controlled variable” outside into reference state and you perceived it. Anyway even if that would be true you could use it only for some behaviors not in general sense. We already established that there is no “canonical principle” in PCT. At least when we are generally speaking about PCT. You can’t make general conclusions on one case. You have to make many case theory. If your PhD is real then you should know how scientifc work should be done.

RM : I think Bill’s point in the letter was that when you look at the correlation between c and h, you get the surprising result of ~0.0 correlation because you are leaving out the “other stimulus” involved in producing h – the reference state of c. When you differentiate h = k(r-c), you get ∆h = -k∆c; that “other stimulus” (r) falls out of the equation and you do see a relationship between ∆h and ∆c.

HB : You think ??? Well you’ll have to try again with another behavior. I think that your thinking is wrong in general sense. You are analyzing Bills’ text from your RCT point of view so you have troubles. You still don’t understand PCT and speccially not how organisms function. Playing with “mathematics” behind computer will not give you solution to understanding all behaviors that human organism can produce. And more behaviors you analyze more precise your theory will be.

Boris

Best

Rick

But if you want to talk correlation, the correlation between the waveform input to an integral and its output waveform approaches zero if you have enough samples. The correlation between h and c must be zero if you have enough independent samples. That’s what you found. …
Ned I say it again in plainer language? I guess so: The long-term correlation between the input and output of an integrator is zero.

At least that’s true for any input waveform that could be represented by a Fourier Transform. It’s not very astonishing that you found this to be true of your simulated integrator.

Proof: Take the Fourier Transform of the input waveform (i.e. represent it as the sum of a set of sine waves calculated appropriately). Consider any one of these sine waves by itself. The output of an integrator that has a sine wave as its input is a cosine wave of the same frequency. A sine wave is uncorrelated with a cosine wave of the same frequency. Since no two of the input sine waves are correlated, no two of the corresponding integrator output cosine waves are correlated. Since all the cosine wave outputs are uncorrelated with the corresponding input sine waves, their sum, which is the output waveform, is uncorrelated with the sum of the input waves, which is the input waveform.

Martin

Richard S. Marken

"Perfection is achieved not when you have nothing more to add, but when you
have nothing left to take away.�
–Antoine de Saint-Exupery

Richard S. Marken

"Perfection is achieved not when you have nothing more to add, but when you
have nothing left to take away.�
–Antoine de Saint-Exupery

On Wed, Jul 17, 2019 at 12:49 AM “Boris Hartman” csgnet@lists.illinois.edu wrote:

Rick,

it seems that you need “help”… You brought PCT into desperate pposition and I think that we all know this. Whatever you’ve done is irresponsable. Like a child with his toy.

I’ve mentioned many times Rayleigh–Jeans Law. They used wrong interpretation and numbers too describe whatever they thought was happening in physical reality. Physical experiments didn’f feet in their equations. And the same is happening to your “calculations” of control loop. They don’t feet reality or real experiments made in reality.

So you’ll have to prove your new invention with more experiments and everyday behaviors :

RM : The success of Bill’s little derivation predicting the relationship between ∆h and ∆c shows that r – the reference state of a controlled variable – is a something that actually exists outside of the control system.

HB : So Rick we are waiting that you prove your new invention with experiments and analysis of everyday behaviors. Where is “the reference state of controlled variable” outside the system when you are sleeping, sun-bathing, walking, observing… So what we want is to confirm your “new theory”; with “facts”.

If words or numbers turn to describe wrongly what is happening in Reality (and yours words and numbers with no doubt are of this kind) than we have to change interpretations or calculations. I hope you will not say that Reality has to be changed to fit your calculations.

Whatever you wrote or present can’t be confirmed with many behaviors. And that’s what theory is for. To test it in Reality. So why don’t you start conforming your nonsense with behaviors in Reality. Problem is that your theory will not work in 3-D space (because it works only in x and y dimension). When you’ll test your RCT with for ex. 50 behaviors it will turn out that you don’t “control behavior” and that there is no “controlled variable” in environment and that “behavior is not control of perception” because perceptual signal does not behave. Where did you find all that imaginational constructs ???

Most problematic is that your new “invention” is not confirming PCT. You are contradicting as usually. You are trying to change PCT again as so many times before. You have one clear goal. You try to prove that there exist control in outer environment and it can be perceived through “Controlled Perceptual Variable” or CPV.

The top problem in RCT thoery is that you still beleive that :

  1. Behavior is control
  1. There is some controlled variable in external environment and
  1. There is some “Controlled Perceptual Variable” or CPV in afferent neuron amd that "perceptual signal behave in control manner … What a construct ???

It’s obvious that you are changing means to achieve your goal with turning words arround, redefining loop and all nonsesne stuff which has practically nothing to do with science and PCT. It’s wrong goal a far as PCT is concerned. I’m still missing Bills citations and his diagrams, and of course references that would point to him not to your useless “Mindreadings” and tests and so on. The question is whether Powers Ladies will allow you change PCT or at least it’s definition of control ? I’ll try to show what are you trying to change ???

Let us start again with LCS diagram LCS III.

cid:image001.jpg@01D37ABE.36063DF0

RM : Of course, r is determined by an internal reference signal; but that’s just theory.

HB : Do you understand what is reference signal in “fact” or better “reference state” that reference signal is representing ? This is the essence of Bills theory and can’t be just “theory”, because it’s supported with physiological evidences. It’s about how organisms function. Go and look where references are originating. Is genetic engineering theoretical science ? Laser, chemical “scalpels” are just theory and imagination ? Do you have any idea to where science already came ?

By your understanding of physiological functioning of organisms doctors are theoretically recovering people to homeostasis (reference state) ??? How does this theorethical recovering look like in practice ?

It seems that you are dreaming with opened eyes Rick. For you PCT is theorethical playground behind computer (as goes probably for Martin and Bruce Nevin too) and you are drawning the whole CSGnet into “middle age” darkness with your RCT theoretical background. Go and read Bills literature until you’ll understand what in fact Bills PCT is explaining.

RM : The success of Bill’s little derivation predicting the relationship between ∆h and ∆c shows that r – the reference state of a controlled variable – is a something that actually exists outside of the control system.

HB : I’m really wondering what’s wrong with you. Your picture of how organisms function is pure imagination. It has nothing to do with reality. You are adapting everything in the way to prove your point, which is simply wrong. There is not “Control of output”, there is no “controlled variable” outside and thes is no “controlled input” or CPV.

Explain to us how the relationship between ∆h and ∆c shows that r show existance of reference state of “controlled variable” in environment when you are sleeping, observing, walking, sitting and thinking etc. How many times do I have to tell you that you need to analyse more behaviors and make more experiments so that you can get firm general theoretical background for what you are claiming. Whatever you try to prove has the same problem as Rayleigh–Jeeans Law. Experiments and analysis of behaviors do not confirm your theorethical playground. Where is reference state of a controlled variable in environment when you are sleeping, observing … ?

/p>


But let us see how your fantasy can be incorporated into PCT. Maybe will talk also about what’s the value of your fantasy construct in relation to how organisms function.

Bill P (B:CP):

CONTROL : Achievement and maintenance of a preselected state in the controlling system, through actions on the environment that also cancel the effects of disturbances.

HB : We can see that definition of control in Bills theory does not predict “reference state of controlled variable” outside of the control system but inside control system. There are just reference states inside the system where controlling is done. There is no CANNONICAL PRINCIPLE in PCT.

Your assumption that “reference signal” (r) is just a fiction or theory is wrong. Also assumption that there is some “reference state of controlled variable” outside is wrong because there is no such thing in PCT (see diagram LCS III). If what you are saying is true, Bills definition would look like :

New RCT definition of control :

CONTROL : Achievement and maintenance of a preselected state in the controlling system, through actions on the environment that also cause reference state in a controlled variable which actually exist in outer environment.

HB : And that is cannonical principle which we already established that is wrong as it means that to the extend that organims control inside they control also outside and vica verse. There is no such thing in PCT although you could explain one or two behaviors that could resemble to what you are saying. On the basis of one or two experiments behind computer you can get explanation or interpretations of behaviors that could be just partial but wrong theory in general sense when trying to explain all behaviors.

So you couldn’t explain mass of behaviors or all of behaviors. Just some. So whatever you are proposing is not general theory. It’s some partial construct.

We have to understand that RCT new definition of control tends to be general as Bill Powers definition of control is general. It is valid for all behaviors. But Ricks is not. So Rick are you proposing a change in Bills general definition of control? Powers ladies (who hates me) probably becasue I’m criticizing Rick, will you support that change ?

HB : If you’ll change definition of control I assume that also other definitions of PCT control loop has to be changed :

Bill P (B:CP):

OUTPUT FUNCTION : The portion of a system that converts the magnitude or state of a signal inside the system into a corresponding set of effects on the immediate environment of the system

Bill P (LCS III):…the output function shoown in it’s own box represents the means this system has for causing changes in it’s environment.

New RCT definition :

OUTPUT FUNCTION : The portion of a system that converts the magnitude or state of a signal inside the system into a corresponding CONTROLLED set of effects on the immediate environment of the system… the meanns that this system has for causing CONTROLLED CHANGES to “reference state of controlled variable” that actually exist in outer environment.

HB : Let me remind members again that also this RCT definition has effect of generality. And of course it’s not. It’s valid only for all “controlled behaviors” that are “pushing controlled variable” (Ricks definition of controlled behavior) outside the system into reference state. And that is not what is really happening when organisms behave.

It’s Ricks imagination. Controlled behavior is not “pushing” perception to reference state. It’s easy to prove with any experiment in nature, which is slow enough so that this characteristic of control system can be clearly seen.

Now the “input function”.

In PCT “Input function” is :

Bill P (B:CP) :

INPUT FUNCTION : The portion of a system that receives signals or stimuli from outside the system, and generates a perceptual signal that is some function of the received signals or stimuli.

New RCT definition of “INPUT FUNCTION” :

The portion of a system that receives signals or stimuli from “controlled variable” outside the system which is in reference state or is approaching to reference state, and generates a perceptual signal that is some function of the received signals or stimuli of “controlled variable in reference state” or “controlled variable” outside the system that is approaching to reference state “pushed” by “controlled behavior”.

COMPARATOR : ???

ERROR : ???

ERROR SIGNAL : ???

What a mess… As I wrote many times beforre. There is no place for friendship in science. I hope that all PhD members or members with expert titles will support my statement ? We can not let Rick to promote wrong theory. It’s good friendship gesture, but fatal for PCT as a science.

Boris

P.S. If Powers ladies would need some help in deciding what to do you can write to me. I’ll explain to you in some limits what’s the problem in Ricks RCT thinking. Although I did it for I don’t know how many times. But if you have some “group of experts” who is doing that, why they didn’t “react” ? Do they also think that PCT is about “Control of behavior” and “some controlled variable outside the system” and of course “Controlled Perceptual Variable” or CPV or “Controlled input”.

From: Richard Marken (rsmarken@gmail.com via csgnet Mailing List) csgnet@lists.illinois.edu
Sent: Friday, June 14, 2019 9:15 PM
To: csgnet csgnet@lists.illinois.edu
Subject: Re: The other “stimulus” (was Re: Please help ID important CSGnet threads)

[Rick Marken 2019-06-14_12:13:48]

[Martin Taylor 2019.06.10.23.27]

MT: We are talking ONLY of the nature of an integral.

RM: I think you were the only one talking about an integral. I’m talking about Bill’s little note in his letter to me where he showed that the basic PCT relationship between input and output – h = k(r-c) – implies that ∆h = -k∆c. The equation h = k(r-c) implies that, with r = 0, h = -kc, leading to the expectation that there would be a negative correlation between h and c. But Bill had shown that there is no correlation between h and c in a compensatory tracking task. I confirmed this in my first PCT relevant paper. Bill’s letter pointed out that h = k(r-c) also implies that there will be a correlation between ∆h and ∆c. So I took a look at some tracking data and found that, indeed, there was quite a high correlation between ∆h and ∆c, even though there is a zero correlation between h and c. At first I thought this meant that reference noise was responsible for the low h- c correlation. But my modeling led me to realize that it implied just the opposite; that the low h - c correlation was a result of input noise. And the modeling suggested that this is indeed the case.

RM: You introduced the idea that Bill simple equation for output as a function of input , h = k (r-c), was wrong because it was inconsistent with his diagram. You said it should be h = k∫(r-c)dt which implies that ∆h = -kc, not ∆h = -k∆c, which would imply a high negative correlation between ∆h and c. But there was no such correlation in the data. I believe your claim is that this low correlation is expected due to the nature of integration. If this were the case, the observed correlation between ∆h and c would be constrained be 0 and it wouldn’t be a very interesting piece of data to look at. But in my simulations I’ve found that the correlation between ∆h and c can get to be quite high (> .6) when noise is added to the input (r-c) to the integration. This is based on 3600 samples, which seems like it should be enough to bring the correlation down to zero if, as you say, the correlation between the input to and output from an integral approaches zero if you have enough samples. I think the problem may be that the output function is actually a leaky integration, which behaves more like a filter. But if I continue work on this project you can write one of your brilliant mathematical critiques if I get it published.

RM: But there is still the question of why Bill’s little derivation – ∆h = -k∆c – fits the data and yours – ∆h = -kc doesn’t. This is especially interesting because you believe your equation is based on the correct function relating output to input – h = k∫(r-c)dt – which Bill based his on the wrong one – Bill based his equation on the wrong one – h = k(r-c). But, as usual, I think the mistake is yours, not Bill’s. Your mistake was deriving a relationship between variables ∆h and ∆c from an equation that is part of a set of simultaneous equations that describe the possible functional relationships between variables in a control loop (as shown in Bill’s diagram). To see how the variables in this loop (or their derivatives) are related you have to solve the simultaneous equations that define the loop. Bill derived the relationship between ∆h and ∆c from an equation that describes a relationship between observable variables that is predicted by PCT! The observable variables are c, h and r, where r is the “other stimulus” that Bill mentioned in the letter. It’s a “stimulus” in scare quotes because it is not really a external stimulus variable (like c is) but the state of that variable.Of course, r is determined by an internal reference signal; but that’s just theory. The success of Bill’s little derivation in predicting the relationship between ∆h and ∆c shows that r – the reference state of a controlled variable – is a something that actually exists outside of the control system.

HB : This is something what you want to beleive. First you are claiming that what Martin says that Bill is wrong and you say, that Bill is right. A little later you claim that Bills “r” is just a theory, so he might be wrong. But big Rick Marken solved the riddle. I’m sorry to say Rick. You are bullshitting again.

Give us some other experiments that will work as you predicted in your “mathematical” discourse. You can’t make generalization on one experiment. How many times do I have to repeat that. This is not how organsims function. I can demonstrate you at least 10 experiments which will show that you are wrong about existance of reference states outside no matter how “mathematically” precise you think that you are “calculating” how PCT control loop function.

So it’s sure not true how ever you read Bills notes or diagram what you are saying. There is no reference states of external variables. It’s opposing basic deffinition of control in PCT.

Bill P (B:CP):

CONTROL : Achievement and maintenance of a preselected state in the controlling system, through actions on the environment that also cancel the effects of disturbances.

If what you are saying is right :

RM : ….predicting the relationship between ∆h and â∆c shows that r – the reference state of a controlled variable – is a something that actually exists outside of the control system.

HB : …then it’s obviously that Bills definition of control is wrong. Wiill you try to change it ? Will Powers ladies who hates me (because I’m ciriticizing you) allow that ?

Nothing is controlled outside, although behavior involve control as you wrote once. But not for controlling outside but insdie. There are just effects to external environment, not “controlled effects”. If we stick to PCT. But if you want to change also that try.

Bill P (B:CP):

OUTPUT FUNCTION : The portion of a system that converts the magnitude or state of a signal inside the system into a corresponding set of effects on the immediate environment of the system

Bill P (LCS III):…tthe output function shown in it’s own box represents the means this system has for causing changes in it’s environment.

HB : You see . There is no “controlled changes”, so that you can “push” external variable into “reference state”.

Only in imagination person which is observing can beleive that “reference state” is outhere. But still that means that references are inside not outside. References outside are illusion (even in tracking experiment you can see that). Bill quite nicely and efficiently described why references outside are illusion. Whatever you are trying to prove has to be in accordance to PCT and all experiments that will be made in future has to be in accordance at least to definitions of control loop in PCT theory. Otherwise you are proving that PCT theory is wrong. I’ll not mention problems which you’ll have when you’ll try to transform your “mathematics” into organisms functioning.

O.K. show us how your “calculations” work in sleeping behavior, observing and for ex. in “forhand shot” which you mentioned in your play.

Where is "reference state of of controlled variable existing outside ??? And there are many more behaviors you’ll have to analyse which will not show any “reference state of controlled variable outside”.

I already explained that you look upon “forehand” behavior from wrong “angle”. It seems that Martin understood what I was saying as he made a copy of similar analysis in “everyday actions”.

I think that problem is that you can’t perceive reference state of some external variable, because reference signal for perceptual variable is inside the system. How can you perceive something that is not yet matched to reference and claime that perception is already showing reference state outside ? Until it is matched to reference signal you can’t say anything about the value of perceptual signal in control sense, because actions (outputs) are not controlled to that level that you can say that actions “pushed controlled variable” outside into reference state and you perceived it. Anyway even if that would be true you could use it only for some behaviors not in general sense. We already established that there is no “canonical principle” in PCT. At least when we are generally speaking about PCT. You can’t make general conclusions on one case. You have to make many case theory. If your PhD is real then you should know how scientifc work should be done.

RM : I think Bill’s point in the letter was that when you look at the correlation between c and h, you get the surprising result of ~0.0 correlation because you are leaving out the “other stimulus” involved in producing h – the reference state of c. When you differentiate h = k(r-c), you get ∆h = -k∆c; that “other stimulus” (r) falls out of the equation and you do see a relationship between ∆h and ∆c.

HB : You think ??? Well you’ll have to try again with another behavior. I think that your thinking is wrong in general sense. You are analyzing Bills’ text from your RCT point of view so you have troubles. You still don’t understand PCT and speccially not how organisms function. Playing with “mathematics” behind computer will not give you solution to understanding all behaviors that human organism can produce. And more behaviors you analyze more precise your theory will be.

Boris

Best

Rick

But if you want to talk correlation, the correlation between the waveform input to an integral and its output waveform approaches zero if you have enough samples. The correlation between h and c must be zero if you have enough independent samples. That’s what you found. …
Ned I say it again in plainer language? I guess so: The long-term correlation between the input and output of an integrator is zero.

At least that’s true for any input waveform that could be represented by a Fourier Transform. It’s not very astonishing that you found this to be true of your simulated integrator.

Proof: Take the Fourier Transform of the input waveform (i.e. represent it as the sum of a set of sine waves calculated appropriately). Consider any one of these sine waves by itself. The output of an integrator that has a sine wave as its input is a cosine wave of the same frequency. A sine wave is uncorrelated with a cosine wave of the same frequency. Since no two of the input sine waves are correlated, no two of the corresponding integrator output cosine waves are correlated. Since all the cosine wave outputs are uncorrelated with the corresponding input sine waves, their sum, which is the output waveform, is uncorrelated with the sum of the input waves, which is the input waveform.

Martin

Richard S. Marken

"Perfection is achieved not when you have nothing more to add, but when you
have nothing left to take away.�
–Antoine de Saint-Exupery

Richard S. Marken

"Perfection is achieved not when you have nothing more to add, but when you
have nothing left to take away.�
–Antoine de Saint-Exupery

[Rick Marken 2019-07-19_10:23:54]

BH: I have enough of repeating the same things all over again.

RM: So have I!Â

RSM

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···

On Fri, Jul 19, 2019 at 9:28 AM “Boris Hartman” csgnet@lists.illinois.edu wrote:

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You have 20 days to scroll out informations you need for understanding what you don’t understand about PCT and “Control of perception”. Then we’ll see if you learned something. For now I’ll just add some of yours citations (from CSGnet archives) and your versions of RCT (older and newer) and Bills’ PCT in form of definitions and diagram LCS III (as usuall. I don’t have time for instruction now, because I’d like to have 20 day peace on sea-side. You should go to.

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From: Richard Marken (rsmarken@gmail.com via csgnet Mailing List) csgnet@lists.illinois.edu
Sent: Wednesday, July 17, 2019 11:47 PM
To: csgnet csgnet@lists.illinois.edu
Subject: Re: The other “stimulus” (was Re: Please help ID important CSGnet threads)

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Manjša : 77.5 x 33.4, debelina 7mm

VeÄ?ja : 80.3 x 34.8, debeline 18mm

[Rick Marken 2019-07-17_14:46:23]

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On Wed, Jul 17, 2019 at 12:49 AM “Boris Hartman” csgnet@lists.illinois.edu wrote:

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BH: The top problem in RCT thoery is that you still beleive that :

  1. Behavior is control
  2. There is some controlled variable in external environment and
  3. There is some “Controlled Perceptual Variable” or CPV in afferent neuron amd that "perceptual signal behave in control manner … Whhat a construct ???

RM:Â I do believe (1) that behavior is control. I believe it because it is a demonstrable fact. And it is the fact that PCT was developed to explain.

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Bill P. at all (50th Anniversary, 2011) : Perceptual Control Theory (PCT) provides a general theory of functioning for organisms.

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HB : Demostrate to us how “Behavior is control” with “controlled variable” look like through sleeping… You can also show us how your RCT works through many other everyday behaviors.

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RM (earlier) : Sleeping is a tough one but I think it is controlling done by the autonomic nervous system that has the aim of keeping some intrinsic physiological variables in genetically determined reference states.

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HB : How can people survive with not “controlling behavior” and “controlled variables” in outer environment for more hours. Usually people die if they don’t control for few minutes.

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RM :And thanks for getting it right, finally. You typically say that I believe that “behavior is controlled”. I don’t.Â

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RM earlier : I have said that behavior can be controlled. (Search a little bit through archives, you’ll find more)

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RM: I don’t believe (2) that controlled variables necessarily exist in the external environment.

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HB : What does it mean not “necessarily” ??? Once control and “controlled variable” exist in outer environment and once don’t exist. It’s fifty-fifty ??? Tombola ??? PCT is not Lottery. It’s science which need evidences. And you are not showing them as usual.

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RM : Controlled variables above the level of intensity perceptions are assumed to be functions of physical variables. I believe this because it an assumption of the PCT model and I have found that models that control variables that are a function of physical variables account for behavioral data quite accurately.

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RM: I have no idea what (3) means.Â

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RM earlier : PCT does assume that the controlled perceptual variable is constructed… (go through archives, you’ll find more)

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HB : In your older version of RCT about which you didn’t object for years (go see archives) you were talking about :

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  1. CONTROL : Keeping of some »aspect of outer environment« in reference state, protected (defended) from disturbances.
  2. OUTPUT FUNCTION : controlled effects (control of behavior) to outer environment so to keep some »controlled variable« in reference state
  3. FEED-BACK FUNCTION : »Control« of some »aspect of outer environment« in reference state.
  4. INPUT FUNCTION : produce »Controlled Perceptual Variable« or »Controlled Perception«, the perceptual correlate of »controlled q.i.«
  5. COMPARATOR : ???
  6. ERROR SIGNAL : ???
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HB : But than recently you changed a little your mind :

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RM : And here is my corrected version:Â Â

  1. CONTROL : Keeping of some aspect of outer environment – the controlled variable -- in a reference state, protected from disturbances.
  2. OUTPUT FUNCTION : Function that converts an error signal into an output variable that has effects in the environment.
  3. FEED-BACK FUNCTION : Physical laws that determine effect of system outputs on a controlled variable.
  4. INPUT FUNCTION : Function that converts sensory or perceptual inputs into a perceptual signal that is an analog of the aspect of the environment – the controlled variable – defined by the nature of this function.Â
  5. COMPARATOR : Function that takes a perceptual and a reference signal as input and produces an error signal as output, the error signal being proportional to the difference between the inputs to this function.
  6. ERROR SIGNAL : The output of the comparator function.Â
  7. CONTROLLED VARIABLE (or CONTROLLED QUANTITY): The aspect of the environment, defined by the input function, that is controlled by a control system.Â
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HB : We can see that in comparison to Bill’s theory and his definitions of “control loop” these are so big differences that we can easily talk about some strange “non PCT theory”. Why don’t you use your RCT and establish your own forum for theory about “Behavior is control”. Here we are because we beleive in “Control of perception” not behavior.

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PCT Definitions of control loop as the core part of Glossary in B:CP :

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Bill P (B:CP):

  1. CONTROL : Achievement and maintenance of a preselected state in the controlling system, through actions on the environment that also cancel the effects of disturbances.
    Bill P (B:CP):
  1. OUTPUT FUNCTION : The portion of a system that converts the magnitude or state of a signal inside the system into a corresponding set of effects on the immediate environment of the system
    Bill P (LCS III):…the output function shown in it’s own box represents the means this system has for causing changes in it’s environment.

Bill P (LCS III):

  1. FEED-BACK FUNCTION : The box represents the set of physical laws, properties, arrangements, linkages, by which the action of this system feeds-back to affect its own input, the controlled variable. That’s what feed-back means : it’s an effect of a system’s output on it’s own input.
    Bill P (B:CP) :
  1. INPUT FUNCTION : The portion of a system that receives  signals or stimuli from outside the system, and generates a perceptual signal that is some function of the received signals or stimuli.
    Bill P (B:CP) :
  1. COMPARATOR : The portion of control system that computes the magnitude and direction of mismatch between perceptual and reference signal.
    Bill P (B:CP)
  1.  ERROR : The discrepancy between a perceptual signal and a reference signal, which drives a control system’s output function. The discrepancy between a controlled quantity and it’s present reference level, which causes observable behavior.
    Bill P (B:CP) :
  1. ERROR SIGNAL : A signal indicating the magnitude and direction of error.
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It’s obvious that you are changing means to achieve your goal with turning words arround, redefining loop and all nonsesne stuff which has practically nothing to do with science and PCT. It’s wrong goal a far as PCT is concerned. I’m still missing Bills citations and his diagrams, and of course references that would point to him not to your useless “Mindreadings” and tests and so on. The question is whether Powers Ladies will allow you change PCT or at least it’s definition of control ? I’ll try to show what are you trying to change ???

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Let us start again with LCS diagram LCS III.

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RM : Of course, r is determined by an internal reference signal; but that’s just theory.

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HB : Do you understand what is reference signal in “fact” or better “reference state” that reference signal is representing ? This is the essence of Bills theory and can’t be just “theory”, because it’s supported with physiological evidences. It’s about how organisms function. Go and look where references are originating. Is genetic engineering theoretical science ? Laser, chemical “scalpels” are just theory and imagination ? Do you have any idea to where science already came ?

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By your understanding of physiological functioning of organisms doctors are theoretically recovering people to homeostasis (reference state) ??? How does this theorethical recovering look like in practice ?

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It seems that you are dreaming with opened eyes Rick. For you PCT is theorethical playground behind computer (as goes probably for Martin and Bruce Nevin too) and you are drawning the whole CSGnet into “middle age” darkness with your RCT theoretical background. Go and read Bills literature until you’ll understand what in fact Bills PCT is explaining.

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RM : The success of Bill’s little derivation predicting the relationship between ∆h and ∆c shows that r – the reference state of a controlled variable – is a something that actually exists outside of the control system.

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HB : I’m really wondering what’s wrong with you. Your picture of how organisms function is pure imagination. It has nothing to do with reality. You are adapting everything in the way to prove your point, which is simply wrong. There is not “Control of output”, there is no “controlled variable” outside and thes is no “controlled input” or CPV.

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Explain to us how the relationship between ∆h and ∆c shows that r show existance of reference state of “controlled variable” in environment when you are sleeping, observing, walking, sitting and thinking etc. How many times do I have to tell you that you need to analyse more behaviors and make more experiments so that you can get firm general theoretical background for what you are claiming. Whatever you try to prove has the same problem as Rayleigh–Jeans Law. Experiments and annalysis of behaviors do not confirm your theorethical playground. Where is reference state of a controlled variable in environment when you are sleeping, observing … ?

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But let us see how your fantasy can be incorporated into PCT. Maybe will talk also about what’s the value of your fantasy construct in relation to how organisms function.

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Bill P (B:CP):

CONTROL : Achievement and maintenance of a preselected state in the controlling system, through actions on the environment that also cancel the effects of disturbances.

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HB : We can see that definition of control in Bills theory does not predict “reference state of controlled variable” outside of the control system but inside control system. There are just reference states inside the system where controlling is done. There is no CANNONICAL PRINCIPLE in PCT.

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Your assumption that “reference signal” (r) is just a fiction or theory is wrong. Also assumption that there is some “reference state of controlled variable” outside is wrong because there is no such thing in PCT (see diagram LCS III). If what you are saying is true, Bills definition would look like :

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New RCT definition of control :

CONTROL : Achievement and maintenance of a preselected state in the controlling system, through actions on the environment that also cause reference state in a controlled variable which actually exist in outer environment.

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HB : And that is cannonical principle which we already established that is wrong as it means that to the extend that organims control inside they control also outside and vica verse. There is no such thing in PCT although you could explain one or two behaviors that could resemble to what you are saying. On the basis of one or two experiments behind computer you can get explanation or interpretations of behaviors that could be just partial but wrong theory in general sense when trying to explain all behaviors.

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So you couldn’t explain mass of behaviors or all of behaviors. Just some. So whatever you are proposing is not general theory. It’s some partial construct.

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We have to understand that RCT new definition of control tends to be general as Bill Powers definition of control is general. It is valid for all behaviors. But Ricks is not. So Rick are you proposing a change in Bills general definition of control? Powers ladies (who hates me) probably becasue I’m criticizing Rick, will you support that change ?

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HB : If you’ll change definition of control I assume that also other definitions of PCT control loop has to be changed :

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Bill P (B:CP):

OUTPUT FUNCTION : The portion of a system that converts the magnitude or state of a signal inside the system into a corresponding set of effects on the immediate environment of the system

Bill P (LCS III):…the output function shown in it’s owwn box represents the means this system has for causing changes in it’s environment.

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New RCT definition :

OUTPUT FUNCTION : The portion of a system that converts the magnitude or state of a signal inside the system into a corresponding CONTROLLED set of effects on the immediate environment of the system… the means that this system has for causing CONTROLLED CHANGES to “reference state of controlled variable” that actually exist in outer environment.

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HB : Let me remind members again that also this RCT definition has effect of generality. And of course it’s not. It’s valid only for all “controlled behaviors” that are “pushing controlled variable” (Ricks definition of controlled behavior) outside the system into reference state. And that is not what is really happening when organisms behave.

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It’s Ricks imagination. Controlled behavior is not “pushing” perception to reference state. It’s easy to prove with any experiment in nature, which is slow enough so that this characteristic of control system can be clearly seen.

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Now the “input function”.

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In PCT “Input function” is :

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Bill P (B:CP) :

INPUT FUNCTION : The portion of a system that receives  signals or stimuli from outside the system, and generates a perceptual signal that is some function of the received signals or stimuli.

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New RCT definition of “INPUT FUNCTION” :

The portion of a system that receives  signals or stimuli from “controlled variable” outside the system which is in reference state or is approaching to reference state, and generates a perceptual signal that is some function of the received signals or stimuli of “controlled variable in reference state” or “controlled variable” outside the system that is approaching to reference state “pushed” by “controlled behavior”.Â

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COMPARATOR : ???

ERROR : ???

ERROR SIGNAL : ???

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What a mess… As I wrote many times before. Theere is no place for friendship in science. I hope that all PhD members or members with expert titles will support my statement ? We can not let Rick to promote wrong theory. It’s good friendship gesture, but fatal for PCT as a science.

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Boris

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P.S. If Powers ladies would need some help in deciding what to do you can write to me. I’ll explain to you in some limits what’s the problem in Ricks RCT thinking. Although I did it for I don’t know how many times. But if you have some “group of experts” who is doing that, why they didn’t “react” ? Do they also think that PCT is about “Control of behavior” and “some controlled variable outside the system” and of course “Controlled Perceptual Variable” or CPV or “Controlled input”.

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From: Richard Marken (rsmarken@gmail.com via csgnet Mailing List) csgnet@lists.illinois.edu
Sent: Friday, June 14, 2019 9:15 PM
To: csgnet csgnet@lists.illinois.edu
Subject: Re: The other “stimulus” (was Re: Please help ID important CSGnet threads)

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[Rick Marken 2019-06-14_12:13:48]Â Â

[Martin Taylor 2019.06.10.23.27]

MT: We are talking ONLY of the nature of an integral.

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RM: I think you were the only one talking about an integral. I’m talking about Bill’s little note in his letter to me where he showed that the basic PCT relationship between input and output – h = k(r-c) – implies that ∆h = -k∆c. The equation h = k(r-c) implies that, with r = 0, h = -kc, leading to the expectation that there would be a negative correlation between h and c. But Bill had shown that there is no correlation between h and c in a compensatory tracking task. I confirmed this in my first PCT relevant paper. Bill’s letter pointed out that h = k(r-c) also implies that there will be a correlation between ∆h and ∆c. So I took a look at some tracking data and found that, indeed, there was quite a high correlation between ∆h and ∆c, even though there is a zero correlation between h and c. At first I thought this meant that reference noise was responsible for the low h- c correlation. But my modeling led me to realize that it implied just the opposite; that the low h - c correlation was a result of input noise. And the modeling suggested that this is indeed the case.

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RM: You introduced the idea that Bill simple equation for output as a function of input , h = k (r-c), was wrong because it was inconsistent with his diagram. You said it should be h = k∫(r-c)dt which implies that ∆h = -kc, not ∆h = -k∆c, which would imply a high negative correlation between ∆h and c. But there was no such correlation in the data. I believe your claim is that this low correlation is expected due to the nature of integration. If this were the case, the observed correlation between ∆h and c would be constrained be 0 and it wouldn’t be a very interesting piece of data to look at. But in my simulations I’ve found that the correlation between ∆h and c can get to be quite high (> .6) when noise is added to the input (r-c) to the integration. This is based on 3600 samples, which seems like it should be enough to bring the correlation down to zero if, as you say, the correlation between the input to and output from an integral approaches zero if you have enough samples. I think the problem may be that the output function is actually a leaky integration, which behaves more like a filter. But if I continue work on this project you can write one of your brilliant mathematical critiques if I get it published.Â

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RM: But there is still the question of why Bill’s little derivation – ∆h = -k∆c – fits the data and yours – ∆h = -kc doesn’t. This is especially interesting because you believe your equation is based on the correct function relating output to input – h = k∫(r-c)dt – which Bill based his on the wrong one -- Bill based his equation on the wrong one – h = k(r-c). But, as usual, I think the mistake is yours, not Bill’s. Your mistake was deriving a relationship between variables ∆h and ∆c  from an equation that is part of a set of simultaneous equations that describe the possible functional relationships between variables in a control loop (as shown in Bill’s diagram). To see how the variables in this loop (or their derivatives) are related you have to solve the simultaneous equations that define the loop. Bill derived the relationship between ∆h and ∆c from an equation that describes a relationship between observable variables that is predicted by PCT! The observable variables are c, h and r, where r is the “other stimulus” that Bill mentioned in the letter. It’s a “stimulus” in scare quotes because it is not really a external stimulus variable (like c is) but the state of that variable.Of course, r is determined by an internal reference signal; but that’s just theory. The success of Bill’s little derivation in predicting the relationship between ∆h and ∆c shows that r – the reference state of a controlled variable – is a something that actually exists outside of the control system.

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HB : This is something what you want to beleive. First you are claiming that what Martin says that Bill is wrong and you say, that Bill is right. A little later you claim that Bills “r” is just a theory, so he might be wrong. But big Rick Marken solved the riddle. I’m sorry to say Rick. You are bullshitting again.

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Give us some other experiments that will work as you predicted in your “mathematical” discourse. You can’t make generalization on one experiment. How many times do I have to repeat that. This is not how organsims function. I can demonstrate you at least 10 experiments which will show that you are wrong about existance of reference states outside no matter how “mathematically” precise you think that you are “calculating” how PCT control loop function.

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So it’s sure not true how ever you read Bills notes or diagram what you are saying. There is no reference states of external variables. It’s opposing basic deffinition of control in PCT.

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Bill P (B:CP):

CONTROL : Achievement and maintenance of a preselected state in the controlling system, through actions on the environment that also cancel the effects of disturbances.

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If what you are saying is right :

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RM : ….predicting tthe relationship between ∆h and ∆c shows that r – the reference state of a controlled variable – is a something that actually exists outside of the control system.

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HB : …then it’s obviously that Bills definition of ccontrol is wrong. Will you try to change it ? Will Powers ladies who hates me (because I’m ciriticizing you) allow that ?

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Nothing is controlled outside, although behavior involve control as you wrote once. But not for controlling outside but insdie. There are just effects to external environment, not “controlled effects”. If we stick to PCT. But if you want to change also that try.

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Bill P (B:CP):

OUTPUT FUNCTION : The portion of a system that converts the magnitude or state of a signal inside the system into a corresponding set of effects on the immediate environment of the system

Bill P (LCS III):…the output function shown in it’s own box represents the means this system has for causing changes in it’s environment.

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HB : You see . There is no “controlled changes”, so that you can “push” external variable into “reference state”.Â

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Only in imagination person which is observing can beleive that “reference state” is outhere. But still that means that references are inside not outside. References outside are illusion (even in tracking experiment you can see that). Bill quite nicely and efficiently described why references outside are illusion. Whatever you are trying to prove has to be in accordance to PCT and all experiments that will be made in future has to be in accordance at least to definitions of control loop in PCT theory. Otherwise you are proving that PCT theory is wrong. I’ll not mention problems which you’ll have when you’ll try to transform your “mathematics” into organisms functioning.

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O.K. show us how your “calculations” work in sleeping behavior, observing and for ex. in “forhand shot” which you mentioned in your play.

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Where is "reference state of of controlled variable existing outside ??? And there are many more behaviors you’ll have to analyse which will not show any “reference state of controlled variable outside”.Â

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I already explained that you look upon “forehand” behavior from wrong “angle”. It seems that Martin understood what I was saying as he made a copy of similar analysis in “everyday actions”. Â

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I think that problem is that you can’t perceive reference state of some external variable, because reference signal for perceptual variable is inside the system. How can you perceive something that is not yet matched to reference and claime that perception is already showing reference state outside ? Until it is matched to reference signal you can’t say anything about the value of perceptual signal in control sense, because actions (outputs) are not controlled to that level that you can say that actions “pushed controlled variable” outside into reference state and you perceived it. Anyway even if that would be true you could use it only for some behaviors not in general sense. We already established that there is no “canonical principle” in PCT. At least when we are generally speaking about PCT. You can’t make general conclusions on one case. You have to make many case theory. If your PhD is real then you should know how scientifc work should be done.

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RM : I think Bill’s point in the letter was that when you look at the correlation between c and h, you get the surprising result of ~0.0 correlation because you are leaving out the “other stimulus” involved in producing h – the reference state of c. When you differentiate h = k(r-c), you get ∆h = -k∆c; that “other stimulus” (r) falls out of the equation and you do see a relationship between ∆h and ∆c.

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HB : You think ??? Well you’ll have to try again with another behavior. I think that your thinking is wrong in general sense. You are analyzing Bills’ text from your RCT point of view so you have troubles. You still don’t understand PCT and speccially not how organisms function. Playing with “mathematics” behind computer will not give you solution to understanding all behaviors that human organism can produce. And more behaviors you analyze more precise your theory will be.

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But if you want to talk correlation, the correlation between the waveform input to an integral and its output waveform approaches zero if you have enough samples. The correlation between h and c must be zero if you have enough independent samples. That’s what you found. …
Ned I say it again in plainer language? I guess so: The long-term correlation between the input and output of an integrator is zero.

At least that’s true for any input waveform that could be represented by a Fourier Transform. It’s not very astonishing that you found this to be true of your simulated integrator.

Proof: Take the Fourier Transform of the input waveform (i.e. represent it as the sum of a set of sine waves calculated appropriately). Consider any one of these sine waves by itself. The output of an integrator that has a sine wave as its input is a cosine wave of the same frequency. A sine wave is uncorrelated with a cosine wave of the same frequency. Since no two of the input sine waves are correlated, no two of the corresponding integrator output cosine waves are correlated. Since all the cosine wave outputs are uncorrelated with the corresponding input sine waves, their sum, which is the output waveform, is uncorrelated with the sum of the input waves, which is the input waveform.

Martin

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Richard S. MarkenÂ

"Perfection is achieved not when you have nothing more to add, but when you
have nothing left to take away.�
                --Antoine de Saint-Exupery

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Richard S. MarkenÂ

"Perfection is achieved not when you have nothing more to add, but when you
have nothing left to take away.�
                --Antoine de Saint-Exupery

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On Wed, Jul 17, 2019 at 12:49 AM “Boris Hartman” csgnet@lists.illinois.edu wrote:

Rick,

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it seems that you need “help”… You brought PCT into desperate position and I think thhat we all know this. Whatever you’ve done is irresponsable. Like a child with his toy.

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I’ve mentioned many times Rayleigh–Jeans Law. They ussed wrong interpretation and numbers to describe whatever they thought was happening in physical reality. Physical experiments didn’f feet in their equations. And the same is happening to your “calculations” of control loop. They don’t feet reality or real experiments made in reality.

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So you’ll have to prove your new invention with more experiments and everyday behaviors :

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RM : The success of Bill’s little derivation predicting the relationship between ∆h and ∆c shows that r – the reference state of a controlled variable – is a something that actually exists outside of the control system.

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HB : So Rick we are waiting that you prove your new invention with experiments and analysis of everyday behaviors. Where is “the reference state of controlled variable” outside the system when you are sleeping, sun-bathing, walking, observing… So what we want is to confirm yourr “new theory” with “facts”.

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If words or numbers turn to describe wrongly what is happening in Reality (and yours words and numbers with no doubt are of this kind) than we have to change interpretations or calculations. I hope you will not say that Reality has to be changed to fit your calculations.

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Whatever you wrote or present can’t be confirmed with many behaviors. And that’s what theory is for. To test it in Reality. So why don’t you start conforming your nonsense with behaviors in Reality. Problem is that your theory will not work in 3-D space (because it works only in x and y dimension). When you’ll test your RCT with for ex. 50 behaviors it will turn out that you don’t “control behavior” and that there is no “controlled variable” in environment and that “behavior is not control of perception” because perceptual signal does not behave. Where did you find all that imaginational constructs ???

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Most problematic is that your new “invention” is not confirming PCT. You are contradicting as usually. You are trying to change PCT again as so many times before. You have one clear goal. You try to prove that there exist control in outer environment and it can be perceived through “Controlled Perceptual Variable” or CPV.

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The top problem in RCT thoery is that you still beleive that :

  1. Behavior is control
  2. There is some controlled variable in external environment and
  3. There is some “Controlled Perceptual Variable” or CPV in afferent neuron amd that "perceptual signal behave in control manner … What a construct ???
    Â

It’s obvious that you are changing means to achieve your goal with turning words arround, redefining loop and all nonsesne stuff which has practically nothing to do with science and PCT. It’s wrong goal a far as PCT is concerned. I’m still missing Bills citations and his diagrams, and of course references that would point to him not to your useless “Mindreadings” and tests and so on. The question is whether Powers Ladies will allow you change PCT or at least it’s definition of control ? I’ll try to show what are you trying to change ???

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Let us start again with LCS diagram LCS III.

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RM : Of course, r is determined by an internal reference signal; but that’s just theory.

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HB : Do you understand what is reference signal in “fact” or better “reference state” that reference signal is representing ? This is the essence of Bills theory and can’t be just “theory”, because it’s supported with physiological evidences. It’s about how organisms function. Go and look where references are originating. Is genetic engineering theoretical science ? Laser, chemical “scalpels” are just theory and imagination ? Do you have any idea to where science already came ?

Â

By your understanding of physiological functioning of organisms doctors are theoretically recovering people to homeostasis (reference state) ??? How does this theorethical recovering look like in practice ?

Â

It seems that you are dreaming with opened eyes Rick. For you PCT is theorethical playground behind computer (as goes probably for Martin and Bruce Nevin too) and you are drawning the whole CSGnet into “middle age” darkness with your RCT theoretical background. Go and read Bills literature until you’ll understand what in fact Bills PCT is explaining.

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RM : The success of Bill’s little derivation predicting the relationship between ∆h and ∆c shows that r – the reference state of a controlled variable – is a something that actually exists outside of the control system.

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HB : I’m really wondering what’s wrong with you. Your picture of how organisms function is pure imagination. It has nothing to do with reality. You are adapting everything in the way to prove your point, which is simply wrong. There is not “Control of output”, there is no “controlled variable” outside and thes is no “controlled input” or CPV.

Â

Explain to us how the relationship between ∆h and ∆c shows that r show existance of reference state of “controlled variable” in environment when you are sleeping, observing, walking, sitting and thinking etc. How many times do I have to tell you that you need to analyse more behaviors and make more experiments so that you can get firm general theoretical background for what you are claiming. Whatever you try to prove has the same problem as Rayleigh–Jeans Law. Experiments and analysis of behaviiors do not confirm your theorethical playground. Where is reference state of a controlled variable in environment when you are sleeping, observing … ?

**Â **

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But let us see how your fantasy can be incorporated into PCT. Maybe will talk also about what’s the value of your fantasy construct in relation to how organisms function.

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Bill P (B:CP):

CONTROL : Achievement and maintenance of a preselected state in the controlling system, through actions on the environment that also cancel the effects of disturbances.

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HB : We can see that definition of control in Bills theory does not predict “reference state of controlled variable” outside of the control system but inside control system. There are just reference states inside the system where controlling is done. There is no CANNONICAL PRINCIPLE in PCT.

Â

Your assumption that “reference signal” (r) is just a fiction or theory is wrong. Also assumption that there is some “reference state of controlled variable” outside is wrong because there is no such thing in PCT (see diagram LCS III). If what you are saying is true, Bills definition would look like :

Â

New RCT definition of control :

CONTROL : Achievement and maintenance of a preselected state in the controlling system, through actions on the environment that also cause reference state in a controlled variable which actually exist in outer environment.

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HB : And that is cannonical principle which we already established that is wrong as it means that to the extend that organims control inside they control also outside and vica verse. There is no such thing in PCT although you could explain one or two behaviors that could resemble to what you are saying. On the basis of one or two experiments behind computer you can get explanation or interpretations of behaviors that could be just partial but wrong theory in general sense when trying to explain all behaviors.

Â

So you couldn’t explain mass of behaviors or all of behaviors. Just some. So whatever you are proposing is not general theory. It’s some partial construct.

Â

We have to understand that RCT new definition of control tends to be general as Bill Powers definition of control is general. It is valid for all behaviors. But Ricks is not. So Rick are you proposing a change in Bills general definition of control? Powers ladies (who hates me) probably becasue I’m criticizing Rick, will you support that change ?

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HB : If you’ll change definition of control I assume that also other definitions of PCT control loop has to be changed :

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Bill P (B:CP):

OUTPUT FUNCTION : The portion of a system that converts the magnitude or state of a signal inside the system into a corresponding set of effects on the immediate environment of the system

Bill P (LCS III):…the output function shown in it’s own box representss the means this system has for causing changes in it’s environment.

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New RCT definition :

OUTPUT FUNCTION : The portion of a system that converts the magnitude or state of a signal inside the system into a corresponding CONTROLLED set of effects on the immediate environment of the system… the means that this system has for causing CONTROLLLED CHANGES to “reference state of controlled variable” that actually exist in outer environment.

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HB : Let me remind members again that also this RCT definition has effect of generality. And of course it’s not. It’s valid only for all “controlled behaviors” that are “pushing controlled variable” (Ricks definition of controlled behavior) outside the system into reference state. And that is not what is really happening when organisms behave.

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It’s Ricks imagination. Controlled behavior is not “pushing” perception to reference state. It’s easy to prove with any experiment in nature, which is slow enough so that this characteristic of control system can be clearly seen.

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Now the “input function”.

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In PCT “Input function” is :

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Bill P (B:CP) :

INPUT FUNCTION : The portion of a system that receives  signals or stimuli from outside the system, and generates a perceptual signal that is some function of the received signals or stimuli.

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New RCT definition of “INPUT FUNCTION” :

The portion of a system that receives  signals or stimuli from “controlled variable” outside the system which is in reference state or is approaching to reference state, and generates a perceptual signal that is some function of the received signals or stimuli of “controlled variable in reference state” or “controlled variable” outside the system that is approaching to reference state “pushed” by “controlled behavior”.Â

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COMPARATOR : ???

ERROR : ???

ERROR SIGNAL : ???

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What a mess… As I wrote many times before. There is no plaace for friendship in science. I hope that all PhD members or members with expert titles will support my statement ? We can not let Rick to promote wrong theory. It’s good friendship gesture, but fatal for PCT as a science.

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Boris

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P.S. If Powers ladies would need some help in deciding what to do you can write to me. I’ll explain to you in some limits what’s the problem in Ricks RCT thinking. Although I did it for I don’t know how many times. But if you have some “group of experts” who is doing that, why they didn’t “react” ? Do they also think that PCT is about “Control of behavior” and “some controlled variable outside the system” and of course “Controlled Perceptual Variable” or CPV or “Controlled input”.

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From: Richard Marken (rsmarken@gmail.com via csgnet Mailing List) csgnet@lists.illinois.edu
Sent: Friday, June 14, 2019 9:15 PM
To: csgnet csgnet@lists.illinois.edu
Subject: Re: The other “stimulus” (was Re: Please help ID important CSGnet threads)

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[Rick Marken 2019-06-14_12:13:48]Â Â

[Martin Taylor 2019.06.10.23.27]

MT: We are talking ONLY of the nature of an integral.

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RM: I think you were the only one talking about an integral. I’m talking about Bill’s little note in his letter to me where he showed that the basic PCT relationship between input and output – h = k(r-c) – implies that ∆h = -k∆c. The equation h = k(r-c) implies that, with r = 0, h = -kc, leading to the expectation that there would be a negative correlation between h and c. But Bill had shown that there is no correlation between h and c in a compensatory tracking task. I confirmed this in my first PCT relevant paper. Bill’s letter pointed out that h = k(r-c) also implies that there will be a correlation between ∆h and ∆c. So I took a look at some tracking data and found that, indeed, there was quite a high correlation between ∆h and ∆c, even though there is a zero correlation between h and c. At first I thought this meant that reference noise was responsible for the low h- c correlation. But my modeling led me to realize that it implied just the opposite; that the low h - c correlation was a result of input noise. And the modeling suggested that this is indeed the case.

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RM: You introduced the idea that Bill simple equation for output as a function of input , h = k (r-c), was wrong because it was inconsistent with his diagram. You said it should be h = k∫(r-c)dt which implies that ∆h = -kc, not ∆h = -k∆c, which would imply a high negative correlation between ∆h and c. But there was no such correlation in the data. I believe your claim is that this low correlation is expected due to the nature of integration. If this were the case, the observed correlation between ∆h and c would be constrained be 0 and it wouldn’t be a very interesting piece of data to look at. But in my simulations I’ve found that the correlation between ∆h and c can get to be quite high (> .6) when noise is added to the input (r-c) to the integration. This is based on 3600 samples, which seems like it should be enough to bring the correlation down to zero if, as you say, the correlation between the input to and output from an integral approaches zero if you have enough samples. I think the problem may be that the output function is actually a leaky integration, which behaves more like a filter. But if I continue work on this project you can write one of your brilliant mathematical critiques if I get it published.Â

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RM: But there is still the question of why Bill’s little derivation – ∆h = -k∆c – fits the data and yours – ∆h = -kc doesn’t. This is especially interesting because you believe your equation is based on the correct function relating output to input – h = k∫(r-c)dt – which Bill based his on the wrong one -- Bill based his equation on the wrong one – h = k(r-c). But, as usual, I think the mistake is yours, not Bill’s. Your mistake was deriving a relationship between variables ∆h and ∆c  from an equation that is part of a set of simultaneous equations that describe the possible functional relationships between variables in a control loop (as shown in Bill’s diagram). To see how the variables in this loop (or their derivatives) are related you have to solve the simultaneous equations that define the loop. Bill derived the relationship between ∆h and ∆c from an equation that describes a relationship between observable variables that is predicted by PCT! The observable variables are c, h and r, where r is the “other stimulus” that Bill mentioned in the letter. It’s a “stimulus” in scare quotes because it is not really a external stimulus variable (like c is) but the state of that variable.Of course, r is determined by an internal reference signal; but that’s just theory. The success of Bill’s little derivation in predicting the relationship between ∆h and ∆c shows that r – the reference state of a controlled variable – is a something that actually exists outside of the control system.

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HB : This is something what you want to beleive. First you are claiming that what Martin says that Bill is wrong and you say, that Bill is right. A little later you claim that Bills “r” is just a theory, so he might be wrong. But big Rick Marken solved the riddle. I’m sorry to say Rick. You are bullshitting again.

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Give us some other experiments that will work as you predicted in your “mathematical” discourse. You can’t make generalization on one experiment. How many times do I have to repeat that. This is not how organsims function. I can demonstrate you at least 10 experiments which will show that you are wrong about existance of reference states outside no matter how “mathematically” precise you think that you are “calculating” how PCT control loop function.

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So it’s sure not true how ever you read Bills notes or diagram what you are saying. There is no reference states of external variables. It’s opposing basic deffinition of control in PCT.

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Bill P (B:CP):

CONTROL : Achievement and maintenance of a preselected state in the controlling system, through actions on the environment that also cancel the effects of disturbances.

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If what you are saying is right :

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RM : ….predicting the relationsship between ∆h and ∆c shows that r – the reference state of a controlled variable – is a something that actually exists outside of the control system.

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HB : …then it’s obviously that Bills definition of control is wrong. Will you try to change it ? Will Powers ladies who hates me (because I’m ciriticizing you) allow that ?

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Nothing is controlled outside, although behavior involve control as you wrote once. But not for controlling outside but insdie. There are just effects to external environment, not “controlled effects”. If we stick to PCT. But if you want to change also that try.

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Bill P (B:CP):

OUTPUT FUNCTION : The portion of a system that converts the magnitude or state of a signal inside the system into a corresponding set of effects on the immediate environment of the system

Bill P (LCS III):…the output function shown in it’s own box represents the means this system has for causing changes in it’s environment.

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HB : You see . There is no “controlled changes”, so that you can “push” external variable into “reference state”.Â

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Only in imagination person which is observing can beleive that “reference state” is outhere. But still that means that references are inside not outside. References outside are illusion (even in tracking experiment you can see that). Bill quite nicely and efficiently described why references outside are illusion. Whatever you are trying to prove has to be in accordance to PCT and all experiments that will be made in future has to be in accordance at least to definitions of control loop in PCT theory. Otherwise you are proving that PCT theory is wrong. I’ll not mention problems which you’ll have when you’ll try to transform your “mathematics” into organisms functioning.

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O.K. show us how your “calculations” work in sleeping behavior, observing and for ex. in “forhand shot” which you mentioned in your play.

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Where is "reference state of of controlled variable existing outside ??? And there are many more behaviors you’ll have to analyse which will not show any “reference state of controlled variable outside”.Â

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I already explained that you look upon “forehand” behavior from wrong “angle”. It seems that Martin understood what I was saying as he made a copy of similar analysis in “everyday actions”. Â

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I think that problem is that you can’t perceive reference state of some external variable, because reference signal for perceptual variable is inside the system. How can you perceive something that is not yet matched to reference and claime that perception is already showing reference state outside ? Until it is matched to reference signal you can’t say anything about the value of perceptual signal in control sense, because actions (outputs) are not controlled to that level that you can say that actions “pushed controlled variable” outside into reference state and you perceived it. Anyway even if that would be true you could use it only for some behaviors not in general sense. We already established that there is no “canonical principle” in PCT. At least when we are generally speaking about PCT. You can’t make general conclusions on one case. You have to make many case theory. If your PhD is real then you should know how scientifc work should be done.

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RM : I think Bill’s point in the letter was that when you look at the correlation between c and h, you get the surprising result of ~0.0 correlation because you are leaving out the “other stimulus” involved in producing h – the reference state of c. When you differentiate h = k(r-c), you get ∆h = -k∆c; that “other stimulus” (r) falls out of the equation and you do see a relationship between ∆h and ∆c.

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HB : You think ??? Well you’ll have to try again with another behavior. I think that your thinking is wrong in general sense. You are analyzing Bills’ text from your RCT point of view so you have troubles. You still don’t understand PCT and speccially not how organisms function. Playing with “mathematics” behind computer will not give you solution to understanding all behaviors that human organism can produce. And more behaviors you analyze more precise your theory will be.

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Boris

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Rick

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But if you want to talk correlation, the correlation between the waveform input to an integral and its output waveform approaches zero if you have enough samples. The correlation between h and c must be zero if you have enough independent samples. That’s what you found. …
Ned I say it again in plainer language? I guess so: The long-term correlation between the input and output of an integrator is zero.

At least that’s true for any input waveform that could be represented by a Fourier Transform. It’s not very astonishing that you found this to be true of your simulated integrator.

Proof: Take the Fourier Transform of the input waveform (i.e. represent it as the sum of a set of sine waves calculated appropriately). Consider any one of these sine waves by itself. The output of an integrator that has a sine wave as its input is a cosine wave of the same frequency. A sine wave is uncorrelated with a cosine wave of the same frequency. Since no two of the input sine waves are correlated, no two of the corresponding integrator output cosine waves are correlated. Since all the cosine wave outputs are uncorrelated with the corresponding input sine waves, their sum, which is the output waveform, is uncorrelated with the sum of the input waves, which is the input waveform.

Martin

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Richard S. MarkenÂ

"Perfection is achieved not when you have nothing more to add, but when you
have nothing left to take away.�
                --Antoine de Saint-Exupery

Â

Richard S. MarkenÂ

"Perfection is achieved not when you have nothing more to add, but when you
have nothing left to take away.�
                --Antoine de Saint-Exupery


Richard S. MarkenÂ

"Perfection is achieved not when you have nothing more to add, but when you
have nothing left to take away.�
                --Antoine de Saint-Exupery

Riick you are repeating your wrong RCT (Ricks Control Theory) and I’m repeating right PCT theory. Do you understand the difference ???

SO WILL YOU START PROM0TING BILL Powers PCT OR YOU WILL CONTINUE WITH YOU WRONG RCT AND SHAME Bill Powers name and his PCT.

And how many times do I have to tell you that I don’t want initials BH, but HB. We know why.

HB

image002109.jpg

···

From: Richard Marken (rsmarken@gmail.com via csgnet Mailing List) csgnet@lists.illinois.edu
Sent: Friday, July 19, 2019 7:24 PM
To: csgnet csgnet@lists.illinois.edu
Subject: Re: The other “stimulus” (was Re: Please help ID important CSGnet threads)

[Rick Marken 2019-07-19_10:23:54]

On Fri, Jul 19, 2019 at 9:28 AM “Boris Hartman” csgnet@lists.illinois.edu wrote:

BH: I have enough of repeating the same things all over again.

RM: So have I!

RSM

You have 20 days to scroll out informations you need for understanding what you don’t understand about PCT and “Control of perception”. Then we’ll see if you learned something. For now I’ll just add some of yours citations (from CSGnet archives) and your versions of RCT (older and newer) and Bills’ PCT in form of definitions and diagram LCS III (as usuall. I don’t have time for instruction now, because I’d like to have 20 day peace on sea-side. You should go to.

Boris

From: Richard Marken (rsmarken@gmail.com via csgnet Mailing List) csgnet@lists.illinois.edu
Sent: Wednesday, July 17, 2019 11:47 PM
To: csgnet csgnet@lists.illinois.edu
Subject: Re: The other “stimulus” (was Re: Please help ID important CSGnet threads)

Manjša : 77.5 x 33.4, debelina 7mm

VeÄ?ja : 80.3 x 34.8, debeline 18mm

[Rick Marken 2019-07-17_14:46:23]

On Wed, Jul 17, 2019 at 12:49 AM “Boris Hartman” csgnet@lists.illinois.edu wrote:

BH: The top problem in RCT thoery is that you still beleive that :

  1. Behavior is control
  1. There is some controlled variable in external environment and
  1. There is some “Controlled Perceptual Variable” or CPV in afferent neuron amd that "perceptual signal behave in control manner … What a construct ???

RM: I do believe (1) that behavior is control. I believe it because it is a demonstrable fact. And it is the fact that PCT was developed to explain.

Bill P. at all (50th Anniversary, 2011) : Perceptual Control Theory (PCT) provides a general theory of functioning for organisms.

HB : Demostrate to us how “Behavior is control” with “controlled variable” look like through sleeping… You can also show us how your RCT works through many other everyday behaviors.

RM (earlier) : Sleeping is a tough one but I think it is controlling done by the autonomic nervous system that has the aim of keeping some intrinsic physiological variables in genetically determined reference states.

HB : How can people survive with not “controlling behavior” and “controlled variables” in outer environment for more hours. Usually people die if they don’t control for few minutes.

RM :And thanks for getting it right, finally. You typically say that I believe that “behavior is controlled”. I don’t.

RM earlier : I have said that behavior can be controlled. (Search a little bit through archives, you’ll find more)

RM: I don’t believe (2) that controlled variables necessarily exist in the external environment.

HB : What does it mean not “necessarily” ??? Once control and “controlled variable” exist in outer environment and once don’t exist. It’s fifty-fifty ??? Tombola ??? PCT is not Lottery. It’s science which need evidences. And you are not showing them as usual.

RM : Controlled variables above the level of intensity perceptions are assumed to be functions of physical variables. I believe this because it an assumption of the PCT model and I have found that models that control variables that are a function of physical variables account for behavioral data quite accurately.

RM: I have no idea what (3) means.

RM earlier : PCT does assume that the controlled perceptual variable is constructed… (go through archives, you’ll find more)

HB : In your older version of RCT about which you didn’t object for years (go see archives) you were talking about :

  1. CONTROL : Keeping of some »aspect of outer environment« in reference state, protected (defended) from disturbances.
  1. OUTPUT FUNCTION : controlled effects (control of behavior) to outer environment so to keep some »controlled variable« in reference state
  1. FEED-BACK FUNCTION : »Control« of some »aspect of outer environment« in reference state.
  1. INPUT FUNCTION : produce »Controlled Perceptual Variable« or »Controlled Perception«, the perceptual correlate of »controlled q.i.«
  1. COMPARATOR : ???
  1. ERROR SIGNAL : ???

HB : But than recently you changed a little your mind :

RM : And here is my corrected version:

  1. CONTROL : Keeping of some aspect of outer environment – the controlled variable – in a reference state, protected from disturbances.
  1. OUTPUT FUNCTION : Function that converts an error signal into an output variable that has effects in the environment.
  1. FEED-BACK FUNCTION : Physical laws that determine effect of system outputs on a controlled variable.
  1. INPUT FUNCTION : Function that converts sensory or perceptual inputs into a perceptual signal that is an analog of the aspect of the environment – the controlled variable – defined by the nature of this function.
  1. COMPARATOR : Function that takes a perceptual and a reference signal as input and produces an error signal as output, the error signal being proportional to the difference between the inputs to this function.
  1. ERROR SIGNAL : The output of the comparator function.
  1. CONTROLLED VARIABLE (or CONTROLLED QUANTITY): The aspect of the environment, defined by the input function, that is controlled by a control system.

HB : We can see that in comparison to Bill’s theory and his definitions of “control loop” these are so big differences that we can easily talk about some strange “non PCT theory”. Why don’t you use your RCT and establish your own forum for theory about “Behavior is control”. Here we are because we beleive in “Control of perception” not behavior.

PCT Definitions of control loop as the core part of Glossary in B:CP :

Bill P (B:CP):

  1. CONTROL : Achievement and maintenance of a preselected state in the controlling system, through actions on the environment that also cancel the effects of disturbances.

Bill P (B:CP):

  1. OUTPUT FUNCTION : The portion of a system that converts the magnitude or state of a signal inside the system into a corresponding set of effects on the immediate environment of the system

Bill P (LCS III):…thee output function shown in it’s own box represents the means this system has for causing changes in it’s environment.

Bill P (LCS III):

  1. FEED-BACK FUNCTION : The box represents the set of physical laws, properties, arrangements, linkages, by which the action of this system feeds-back to affect its own input, the controlled variable. That’s what feed-back means : it’s an effect of a system’s output on it’s own input.

Bill P (B:CP) :

  1. INPUT FUNCTION : The portion of a system that receives signals or stimuli from outside the system, and generates a perceptual signal that is some function of the received signals or stimuli.

Bill P (B:CP) :

  1. COMPARATOR : The portion of control system that computes the magnitude and direction of mismatch between perceptual and reference signal.

Bill P (B:CP)

  1. ERROR : The discrepancy between a perceptual signal and a reference signal, which drives a control system’s output function. The discrepancy between a controlled quantity and it’s present reference level, which causes observable behavior.

Bill P (B:CP) :

  1. ERROR SIGNAL : A signal indicating the magnitude and direction of error.

cid:image001.jpg@01D37ABE.36063DF0

Boris

Rick

It’s obvious that you are changing means to achieve your goal with turning words arround, redefining loop and all nonsesne stuff which has practically nothing to do with science and PCT. It’s wrong goal a far as PCT is concerned. I’m still missing Bills citations and his diagrams, and of course references that would point to him not to your useless “Mindreadings” and tests and so on. The question is whether Powers Ladies will allow you change PCT or at least it’s definition of control ? I’ll try to show what are you trying to change ???

Let us start again with LCS diagram LCS III.

cid:image001.jpg@01D37ABE.36063DF0

RM : Of course, r is determined by an internal reference signal; but that’s just theory.

HB : Do you understand what is reference signal in “fact” or better “reference state” that reference signal is representing ? This is the essence of Bills theory and can’t be just “theory”, because it’s supported with physiological evidences. It’s about how organisms function. Go and look where references are originating. Is genetic engineering theoretical science ? Laser, chemical “scalpels” are just theory and imagination ? Do you have any idea to where science already came ?

By your understanding of physiological functioning of organisms doctors are theoretically recovering people to homeostasis (reference state) ??? How does this theorethical recovering look like in practice ?

It seems that you are dreaming with opened eyes Rick. For you PCT is theorethical playground behind computer (as goes probably for Martin and Bruce Nevin too) and you are drawning the whole CSGnet into “middle age” darkness with your RCT theoretical background. Go and read Bills literature until you’ll understand what in fact Bills PCT is explaining.

RM : The success of Bill’s little derivation predicting the relationship between ∆h and ∆c shows that r – the reference state of a controlled variable – is a something that actually exists outside of the control system.

HB : I’m really wondering what’s wrong with you. Your picture of how organisms function is pure imagination. It has nothing to do with reality. You are adapting everything in the way to prove your point, which is simply wrong. There is not “Control of output”, there is no “controlled variable” outside and thes is no “controlled input” or CPV.

Explain to us how the relationship between ∆h and ∆c shows that r show existance of reference state of “controlled variable” in environment when you are sleeping, observing, walking, sitting and thinking etc. How many times do I have to tell you that you need to analyse more behaviors and make more experiments so that you can get firm general theoretical background for what you are claiming. Whatever you try to prove has the same problem as Rayleigh–Jeans Law. Experiments and analysis of behaviors do not confirm your theorethical playground. Where is reference state of a controlled variable in environment when you are sleeping, observing … ?


But let us see how your fantasy can be incorporated into PCT. Maybe will talk also about what’s the value of your fantasy construct in relation to how organisms function.

Bill P (B:CP):

CONTROL : Achievement and maintenance of a preselected state in the controlling system, through actions on the environment that also cancel the effects of disturbances.

HB : We can see that definition of control in Bills theory does not predict “reference state of controlled variable” outside of the control system but inside control system. There are just reference states inside the system where controlling is done. There is no CANNONICAL PRINCIPLE in PCT.

Your assumption that “reference signal” (r) is just a fiction or theory is wrong. Also assumption that there is some “reference state of controlled variable” outside is wrong because there is no such thing in PCT (see diagram LCS III). If what you are saying is true, Bills definition would look like :

New RCT definition of control :

CONTROL : Achievement and maintenance of a preselected state in the controlling system, through actions on the environment that also cause reference state in a controlled variable which actually exist in outer environment.

HB : And that is cannonical principle which we already established that is wrong as it means that to the extend that organims control inside they control also outside and vica verse. There is no such thing in PCT although you could explain one or two behaviors that could resemble to what you are saying. On the basis of one or two experiments behind computer you can get explanation or interpretations of behaviors that could be just partial but wrong theory in general sense when trying to explain all behaviors.

So you couldn’t explain mass of behaviors or all of behaviors. Just some. So whatever you are proposing is not general theory. It’s some partial construct.

We have to understand that RCT new definition of control tends to be general as Bill Powers definition of control is general. It is valid for all behaviors. But Ricks is not. So Rick are you proposing a change in Bills general definition of control? Powers ladies (who hates me) probably becasue I’m criticizing Rick, will you support that change ?

HB : If you’ll change definition of control I assume that also other definitions of PCT control loop has to be changed :

Bill P (B:CP):

OUTPUT FUNCTION : The portion of a system that converts the magnitude or state of a signal inside the system into a corresponding set of effects on the immediate environment of the system

Bill P (LCS III):…the output function shown in it’s own box represents the means this system has for causing changes in it’s environment.

New RCT definition :

OUTPUT FUNCTION : The portion of a system that converts the magnitude or state of a signal inside the system into a corresponding CONTROLLED set of effects on the immediate environment of the system… the means that this system has for causing CONTROLLED CCHANGES to “reference state of controlled variable” that actually exist in outer environment.

HB : Let me remind members again that also this RCT definition has effect of generality. And of course it’s not. It’s valid only for all “controlled behaviors” that are “pushing controlled variable” (Ricks definition of controlled behavior) outside the system into reference state. And that is not what is really happening when organisms behave.

It’s Ricks imagination. Controlled behavior is not “pushing” perception to reference state. It’s easy to prove with any experiment in nature, which is slow enough so that this characteristic of control system can be clearly seen.

Now the “input function”.

In PCT “Input function” is :

Bill P (B:CP) :

INPUT FUNCTION : The portion of a system that receives signals or stimuli from outside the system, and generates a perceptual signal that is some function of the received signals or stimuli.

New RCT definition of “INPUT FUNCTION” :

The portion of a system that receives signals or stimuli from “controlled variable” outside the system which is in reference state or is approaching to reference state, and generates a perceptual signal that is some function of the received signals or stimuli of “controlled variable in reference state” or “controlled variable” outside the system that is approaching to reference state “pushed” by “controlled behavior”.

COMPARATOR : ???

ERROR : ???

ERROR SIGNAL : ???

What a mess… AAs I wrote many times before. There is no place for friendship in science. I hope that all PhD members or members with expert titles will support my statement ? We can not let Rick to promote wrong theory. It’s good friendship gesture, but fatal for PCT as a science.

Boris

P.S. If Powers ladies would need some help in deciding what to do you can write to me. I’ll explain to you in some limits what’s the problem in Ricks RCT thinking. Although I did it for I don’t know how many times. But if you have some “group of experts” who is doing that, why they didn’t “react” ? Do they also think that PCT is about “Control of behavior” and “some controlled variable outside the system” and of course “Controlled Perceptual Variable” or CPV or “Controlled input”.

From: Richard Marken (rsmarken@gmail.com via csgnet Mailing List) csgnet@lists.illinois.edu
Sent: Friday, June 14, 2019 9:15 PM
To: csgnet csgnet@lists.illinois.edu
Subject: Re: The other “stimulus” (was Re: Please help ID important CSGnet threads)

[Rick Marken 2019-06-14_12:13:48]

[Martin Taylor 2019.06.10.23.27]

MT: We are talking ONLY of the nature of an integral.

RM: I think you were the only one talking about an integral. I’m talking about Bill’s little note in his letter to me where he showed that the basic PCT relationship between input and output – h = k(r-c) – implies that ∆h = -k∆c. The equation h = k(r-c) implies that, with r = 0, h = -kc, leading to the expectation that there would be a negative correlation between h and c. But Bill had shown that there is no correlation between h and c in a compensatory tracking task. I confirmed this in my first PCT relevant paper. Bill’s letter pointed out that h = k(r-c) also implies that there will be a correlation between ∆h and ∆c. So I took a look at some tracking data and found that, indeed, there was quite a high correlation between ∆h and ∆c, even though there is a zero correlation between h and c. At first I thought this meant that reference noise was responsible for the low h- c correlation. But my modeling led me to realize that it implied just the opposite; that the low h - c correlation was a result of input noise. And the modeling suggested that this is indeed the case.

RM: You introduced the idea that Bill simple equation for output as a function of input , h = k (r-c), was wrong because it was inconsistent with his diagram. You said it should be h = k∫(r-c)dt which implies that ∆h = -kc, not ∆h = -k∆c, which would imply a high negative correlation between ∆h and c. But there was no such correlation in the data. I believe your claim is that this low correlation is expected due to the nature of integration. If this were the case, the observed correlation between ∆h and c would be constrained be 0 and it wouldn’t be a very interesting piece of data to look at. But in my simulations I’ve found that the correlation between ∆h and c can get to be quite high (> .6) when noise is added to the input (r-c) to the integration. This is based on 3600 samples, which seems like it should be enough to bring the correlation down to zero if, as you say, the correlation between the input to and output from an integral approaches zero if you have enough samples. I think the problem may be that the output function is actually a leaky integration, which behaves more like a filter. But if I continue work on this project you can write one of your brilliant mathematical critiques if I get it published.

RM: But there is still the question of why Bill’s little derivation – ∆h = -k∆c – fits the data and yours – ∆h = -kc doesn’t. This is especially interesting because you believe your equation is based on the correct function relating output to input – h = k∫(r-c)dt – which Bill based his on the wrong one – Bill based his equation on the wrong one – h = k(r-c). But, as usual, I think the mistake is yours, not Bill’s. Your mistake was deriving a relationship between variables ∆h and ∆c from an equation that is part of a set of simultaneous equations that describe the possible functional relationships between variables in a control loop (as shown in Bill’s diagram). To see how the variables in this loop (or their derivatives) are related you have to solve the simultaneous equations that define the loop. Bill derived the relationship between ∆h and ∆c from an equation that describes a relationship between observable variables that is predicted by PCT! The observable variables are c, h and r, where r is the “other stimulus” that Bill mentioned in the letter. It’s a “stimulus” in scare quotes because it is not really a external stimulus variable (like c is) but the state of that variable.Of course, r is determined by an internal reference signal; but that’s just theory. The success of Bill’s little derivation in predicting the relationship between ∆h and ∆c shows that r – the reference state of a controlled variable – is a something that actually exists outside of the control system.

HB : This is something what you want to beleive. First you are claiming that what Martin says that Bill is wrong and you say, that Bill is right. A little later you claim that Bills “r” is just a theory, so he might be wrong. But big Rick Marken solved the riddle. I’m sorry to say Rick. You are bullshitting again.

Give us some other experiments that will work as you predicted in your “mathematical” discourse. You can’t make generalization on one experiment. How many times do I have to repeat that. This is not how organsims function. I can demonstrate you at least 10 experiments which will show that you are wrong about existance of reference states outside no matter how “mathematically” precise you think that you are “calculating” how PCT control loop function.

So it’s sure not true how ever you read Bills notes or diagram what you are saying. There is no reference states of external variables. It’s opposing basic deffinition of control in PCT.

Bill P (B:CP):

CONTROL : Achievement and maintenance of a preselected state in the controlling system, through actions on the environment that also cancel the effects of disturbances.

If what you are saying is right :

RM : ….predicting the relationshhip between ∆h and ∆c shows that r – the reference state of a controlled variable – is a something that actually exists outside of the control system.

HB : …then it’s obviously that Bills definnition of control is wrong. Will you try to change it ? Will Powers ladies who hates me (because I’m ciriticizing you) allow that ?

Nothing is controlled outside, although behavior involve control as you wrote once. But not for controlling outside but insdie. There are just effects to external environment, not “controlled effects”. If we stick to PCT. But if you want to change also that try.

Bill P (B:CP):

OUTPUT FUNCTION : The portion of a system that converts the magnitude or state of a signal inside the system into a corresponding set of effects on the immediate environment of the system

Bill P (LCS III):…the output function shown in it’s own box reepresents the means this system has for causing changes in it’s environment.

HB : You see . There is no “controlled changes”, so that you can “push” external variable into “reference state”.

Only in imagination person which is observing can beleive that “reference state” is outhere. But still that means that references are inside not outside. References outside are illusion (even in tracking experiment you can see that). Bill quite nicely and efficiently described why references outside are illusion. Whatever you are trying to prove has to be in accordance to PCT and all experiments that will be made in future has to be in accordance at least to definitions of control loop in PCT theory. Otherwise you are proving that PCT theory is wrong. I’ll not mention problems which you’ll have when you’ll try to transform your “mathematics” into organisms functioning.

O.K. show us how your “calculations” work in sleeping behavior, observing and for ex. in “forhand shot” which you mentioned in your play.

Where is "reference state of of controlled variable existing outside ??? And there are many more behaviors you’ll have to analyse which will not show any “reference state of controlled variable outside”.

I already explained that you look upon “forehand” behavior from wrong “angle”. It seems that Martin understood what I was saying as he made a copy of similar analysis in “everyday actions”.

I think that problem is that you can’t perceive reference state of some external variable, because reference signal for perceptual variable is inside the system. How can you perceive something that is not yet matched to reference and claime that perception is already showing reference state outside ? Until it is matched to reference signal you can’t say anything about the value of perceptual signal in control sense, because actions (outputs) are not controlled to that level that you can say that actions “pushed controlled variable” outside into reference state and you perceived it. Anyway even if that would be true you could use it only for some behaviors not in general sense. We already established that there is no “canonical principle” in PCT. At least when we are generally speaking about PCT. You can’t make general conclusions on one case. You have to make many case theory. If your PhD is real then you should know how scientifc work should be done.

RM : I think Bill’s point in the letter was that when you look at the correlation between c and h, you get the surprising result of ~0.0 correlation because you are leaving out the “other stimulus” involved in producing h – the reference state of c. When you differentiate h = k(r-c), you get ∆h = -k∆c; that “other stimulus” (r) falls out of the equation and you do see a relationship between ∆h and ∆c.

HB : You think ??? Well you’ll have to try again with another behavior. I think that your thinking is wrong in general sense. You are analyzing Bills’ text from your RCT point of view so you have troubles. You still don’t understand PCT and speccially not how organisms function. Playing with “mathematics” behind computer will not give you solution to understanding all behaviors that human organism can produce. And more behaviors you analyze more precise your theory will be.

Boris

Best

Rick

But if you want to talk correlation, the correlation between the waveform input to an integral and its output waveform approaches zero if you have enough samples. The correlation between h and c must be zero if you have enough independent samples. That’s what you found. …
Ned I say it again in plainer language? I guess so: The long-term correlation between the input and output of an integrator is zero.

At least that’s true for any input waveform that could be represented by a Fourier Transform. It’s not very astonishing that you found this to be true of your simulated integrator.

Proof: Take the Fourier Transform of the input waveform (i.e. represent it as the sum of a set of sine waves calculated appropriately). Consider any one of these sine waves by itself. The output of an integrator that has a sine wave as its input is a cosine wave of the same frequency. A sine wave is uncorrelated with a cosine wave of the same frequency. Since no two of the input sine waves are correlated, no two of the corresponding integrator output cosine waves are correlated. Since all the cosine wave outputs are uncorrelated with the corresponding input sine waves, their sum, which is the output waveform, is uncorrelated with the sum of the input waves, which is the input waveform.

Martin

Richard S. Marken

"Perfection is achieved not when you have nothing more to add, but when you
have nothing left to take away.�
–Antoine de Saint-Exupery

Richard S. Marken

"Perfection is achieved not when you have nothing more to add, but when you
have nothing left to take away.�
–Antoine de Saint-Exupery

On Wed, Jul 17, 2019 at 12:49 AM “Boris Hartman” csgnet@lists.illinois.edu wrote:

Rick,

it seems that you need “help”… You brought PCT into dessperate position and I think that we all know this. Whatever you’ve done is irresponsable. Like a child with his toy.

I’ve mentioned many times Rayleigh–Jeans Law. They used wrong interpretation and nuumbers to describe whatever they thought was happening in physical reality. Physical experiments didn’f feet in their equations. And the same is happening to your “calculations” of control loop. They don’t feet reality or real experiments made in reality.

So you’ll have to prove your new invention with more experiments and everyday behaviors :

RM : The success of Bill’s little derivation predicting the relationship between ∆h and ∆c shows that r – the reference state of a controlled variable – is a something that actually exists outside of the control system.

HB : So Rick we are waiting that you prove your new invention with experiments and analysis of everyday behaviors. Where is “the reference state of controlled variable” outside the system when you are sleeping, sun-bathing, walking, observing… So what we want is to confirm your "new theory&qquot; with “facts”.

If words or numbers turn to describe wrongly what is happening in Reality (and yours words and numbers with no doubt are of this kind) than we have to change interpretations or calculations. I hope you will not say that Reality has to be changed to fit your calculations.

Whatever you wrote or present can’t be confirmed with many behaviors. And that’s what theory is for. To test it in Reality. So why don’t you start conforming your nonsense with behaviors in Reality. Problem is that your theory will not work in 3-D space (because it works only in x and y dimension). When you’ll test your RCT with for ex. 50 behaviors it will turn out that you don’t “control behavior” and that there is no “controlled variable” in environment and that “behavior is not control of perception” because perceptual signal does not behave. Where did you find all that imaginational constructs ???

Most problematic is that your new “invention” is not confirming PCT. You are contradicting as usually. You are trying to change PCT again as so many times before. You have one clear goal. You try to prove that there exist control in outer environment and it can be perceived through “Controlled Perceptual Variable” or CPV.

The top problem in RCT thoery is that you still beleive that :

  1. Behavior is control
  1. There is some controlled variable in external environment and
  1. There is some “Controlled Perceptual Variable” or CPV in afferent neuron amd that "perceptual signal behave in control manner … What a construct ???

/li>

It’s obvious that you are changing means to achieve your goal with turning words arround, redefining loop and all nonsesne stuff which has practically nothing to do with science and PCT. It’s wrong goal a far as PCT is concerned. I’m still missing Bills citations and his diagrams, and of course references that would point to him not to your useless “Mindreadings” and tests and so on. The question is whether Powers Ladies will allow you change PCT or at least it’s definition of control ? I’ll try to show what are you trying to change ???

Let us start again with LCS diagram LCS III.

cid:image001.jpg@01D37ABE.36063DF0

RM : Of course, r is determined by an internal reference signal; but that’s just theory.

HB : Do you understand what is reference signal in “fact” or better “reference state” that reference signal is representing ? This is the essence of Bills theory and can’t be just “theory”, because it’s supported with physiological evidences. It’s about how organisms function. Go and look where references are originating. Is genetic engineering theoretical science ? Laser, chemical “scalpels” are just theory and imagination ? Do you have any idea to where science already came ?

By your understanding of physiological functioning of organisms doctors are theoretically recovering people to homeostasis (reference state) ??? How does this theorethical recovering look like in practice ?

It seems that you are dreaming with opened eyes Rick. For you PCT is theorethical playground behind computer (as goes probably for Martin and Bruce Nevin too) and you are drawning the whole CSGnet into “middle age” darkness with your RCT theoretical background. Go and read Bills literature until you’ll understand what in fact Bills PCT is explaining.

RM : The success of Bill’s little derivation predicting the relationship between ∆h and ∆c shows that r – the reference state of a controlled variable – is a something that actually exists outside of the control system.

HB : I’m really wondering what’s wrong with you. Your picture of how organisms function is pure imagination. It has nothing to do with reality. You are adapting everything in the way to prove your point, which is simply wrong. There is not “Control of output”, there is no “controlled variable” outside and thes is no “controlled input” or CPV.

Explain to us how the relationship between ∆h and ∆c shows that r show existance of reference state of “controlled variable” in environment when you are sleeping, observing, walking, sitting and thinking etc. How many times do I have to tell you that you need to analyse more behaviors and make more experiments so that you can get firm general theoretical background for what you are claiming. Whatever you try to prove has the same problem as Rayleigh–Jeaans Law. Experiments and analysis of behaviors do not confirm your theorethical playground. Where is reference state of a controlled variable in environment when you are sleeping, observing … ?


But let us see how your fantasy can be incorporated into PCT. Maybe will talk also about what’s the value of your fantasy construct in relation to how organisms function.

Bill P (B:CP):

CONTROL : Achievement and maintenance of a preselected state in the controlling system, through actions on the environment that also cancel the effects of disturbances.

HB : We can see that definition of control in Bills theory does not predict “reference state of controlled variable” outside of the control system but inside control system. There are just reference states inside the system where controlling is done. There is no CANNONICAL PRINCIPLE in PCT.

Your assumption that “reference signal” (r) is just a fiction or theory is wrong. Also assumption that there is some “reference state of controlled variable” outside is wrong because there is no such thing in PCT (see diagram LCS III). If what you are saying is true, Bills definition would look like :

New RCT definition of control :

CONTROL : Achievement and maintenance of a preselected state in the controlling system, through actions on the environment that also cause reference state in a controlled variable which actually exist in outer environment.

HB : And that is cannonical principle which we already established that is wrong as it means that to the extend that organims control inside they control also outside and vica verse. There is no such thing in PCT although you could explain one or two behaviors that could resemble to what you are saying. On the basis of one or two experiments behind computer you can get explanation or interpretations of behaviors that could be just partial but wrong theory in general sense when trying to explain all behaviors.

So you couldn’t explain mass of behaviors or all of behaviors. Just some. So whatever you are proposing is not general theory. It’s some partial construct.

We have to understand that RCT new definition of control tends to be general as Bill Powers definition of control is general. It is valid for all behaviors. But Ricks is not. So Rick are you proposing a change in Bills general definition of control? Powers ladies (who hates me) probably becasue I’m criticizing Rick, will you support that change ?

HB : If you’ll change definition of control I assume that also other definitions of PCT control loop has to be changed :

Bill P (B:CP):

OUTPUT FUNCTION : The portion of a system that converts the magnitude or state of a signal inside the system into a corresponding set of effects on the immediate environment of the system

Bill P (LCS III):…the output function shoown in it’s own box represents the means this system has for causing changes in it’s environment.

New RCT definition :

OUTPUT FUNCTION : The portion of a system that converts the magnitude or state of a signal inside the system into a corresponding CONTROLLED set of effects on the immediate environment of the system… the meanns that this system has for causing CONTROLLED CHANGES to “reference state of controlled variable” that actually exist in outer environment.

HB : Let me remind members again that also this RCT definition has effect of generality. And of course it’s not. It’s valid only for all “controlled behaviors” that are “pushing controlled variable” (Ricks definition of controlled behavior) outside the system into reference state. And that is not what is really happening when organisms behave.

It’s Ricks imagination. Controlled behavior is not “pushing” perception to reference state. It’s easy to prove with any experiment in nature, which is slow enough so that this characteristic of control system can be clearly seen.

Now the “input function”.

In PCT “Input function” is :

Bill P (B:CP) :

INPUT FUNCTION : The portion of a system that receives signals or stimuli from outside the system, and generates a perceptual signal that is some function of the received signals or stimuli.

New RCT definition of “INPUT FUNCTION” :

The portion of a system that receives signals or stimuli from “controlled variable” outside the system which is in reference state or is approaching to reference state, and generates a perceptual signal that is some function of the received signals or stimuli of “controlled variable in reference state” or “controlled variable” outside the system that is approaching to reference state “pushed” by “controlled behavior”.

COMPARATOR : ???

ERROR : ???

ERROR SIGNAL : ???

What a mess… As I wrote many times beforre. There is no place for friendship in science. I hope that all PhD members or members with expert titles will support my statement ? We can not let Rick to promote wrong theory. It’s good friendship gesture, but fatal for PCT as a science.

Boris

P.S. If Powers ladies would need some help in deciding what to do you can write to me. I’ll explain to you in some limits what’s the problem in Ricks RCT thinking. Although I did it for I don’t know how many times. But if you have some “group of experts” who is doing that, why they didn’t “react” ? Do they also think that PCT is about “Control of behavior” and “some controlled variable outside the system” and of course “Controlled Perceptual Variable” or CPV or “Controlled input”.

From: Richard Marken (rsmarken@gmail.com via csgnet Mailing List) csgnet@lists.illinois.edu
Sent: Friday, June 14, 2019 9:15 PM
To: csgnet csgnet@lists.illinois.edu
Subject: Re: The other “stimulus” (was Re: Please help ID important CSGnet threads)

[Rick Marken 2019-06-14_12:13:48]

[Martin Taylor 2019.06.10.23.27]

MT: We are talking ONLY of the nature of an integral.

RM: I think you were the only one talking about an integral. I’m talking about Bill’s little note in his letter to me where he showed that the basic PCT relationship between input and output – h = k(r-c) – implies that ∆h = -k∆c. The equation h = k(r-c) implies that, with r = 0, h = -kc, leading to the expectation that there would be a negative correlation between h and c. But Bill had shown that there is no correlation between h and c in a compensatory tracking task. I confirmed this in my first PCT relevant paper. Bill’s letter pointed out that h = k(r-c) also implies that there will be a correlation between ∆h and ∆c. So I took a look at some tracking data and found that, indeed, there was quite a high correlation between ∆h and ∆c, even though there is a zero correlation between h and c. At first I thought this meant that reference noise was responsible for the low h- c correlation. But my modeling led me to realize that it implied just the opposite; that the low h - c correlation was a result of input noise. And the modeling suggested that this is indeed the case.

RM: You introduced the idea that Bill simple equation for output as a function of input , h = k (r-c), was wrong because it was inconsistent with his diagram. You said it should be h = k∫(r-c)dt which implies that ∆h = -kc, not ∆h = -k∆c, which would imply a high negative correlation between ∆h and c. But there was no such correlation in the data. I believe your claim is that this low correlation is expected due to the nature of integration. If this were the case, the observed correlation between ∆h and c would be constrained be 0 and it wouldn’t be a very interesting piece of data to look at. But in my simulations I’ve found that the correlation between ∆h and c can get to be quite high (> .6) when noise is added to the input (r-c) to the integration. This is based on 3600 samples, which seems like it should be enough to bring the correlation down to zero if, as you say, the correlation between the input to and output from an integral approaches zero if you have enough samples. I think the problem may be that the output function is actually a leaky integration, which behaves more like a filter. But if I continue work on this project you can write one of your brilliant mathematical critiques if I get it published.

RM: But there is still the question of why Bill’s little derivation – ∆h = -k∆c – fits the data and yours – ∆h = -kc doesn’t. This is especially interesting because you believe your equation is based on the correct function relating output to input – h = k∫(r-c)dt – which Bill based his on the wrong one – Bill based his equation on the wrong one – h = k(r-c). But, as usual, I think the mistake is yours, not Bill’s. Your mistake was deriving a relationship between variables ∆h and ∆c from an equation that is part of a set of simultaneous equations that describe the possible functional relationships between variables in a control loop (as shown in Bill’s diagram). To see how the variables in this loop (or their derivatives) are related you have to solve the simultaneous equations that define the loop. Bill derived the relationship between ∆h and ∆c from an equation that describes a relationship between observable variables that is predicted by PCT! The observable variables are c, h and r, where r is the “other stimulus” that Bill mentioned in the letter. It’s a “stimulus” in scare quotes because it is not really a external stimulus variable (like c is) but the state of that variable.Of course, r is determined by an internal reference signal; but that’s just theory. The success of Bill’s little derivation in predicting the relationship between ∆h and ∆c shows that r – the reference state of a controlled variable – is a something that actually exists outside of the control system.

HB : This is something what you want to beleive. First you are claiming that what Martin says that Bill is wrong and you say, that Bill is right. A little later you claim that Bills “r” is just a theory, so he might be wrong. But big Rick Marken solved the riddle. I’m sorry to say Rick. You are bullshitting again.

Give us some other experiments that will work as you predicted in your “mathematical” discourse. You can’t make generalization on one experiment. How many times do I have to repeat that. This is not how organsims function. I can demonstrate you at least 10 experiments which will show that you are wrong about existance of reference states outside no matter how “mathematically” precise you think that you are “calculating” how PCT control loop function.

So it’s sure not true how ever you read Bills notes or diagram what you are saying. There is no reference states of external variables. It’s opposing basic deffinition of control in PCT.

Bill P (B:CP):

CONTROL : Achievement and maintenance of a preselected state in the controlling system, through actions on the environment that also cancel the effects of disturbances.

If what you are saying is right :

RM : ….predicting the relationship between ∆h and â∆c shows that r – the reference state of a controlled variable – is a something that actually exists outside of the control system.

HB : …then it’s obviously that Bills definition of control is wrong. Wiill you try to change it ? Will Powers ladies who hates me (because I’m ciriticizing you) allow that ?

Nothing is controlled outside, although behavior involve control as you wrote once. But not for controlling outside but insdie. There are just effects to external environment, not “controlled effects”. If we stick to PCT. But if you want to change also that try.

Bill P (B:CP):

OUTPUT FUNCTION : The portion of a system that converts the magnitude or state of a signal inside the system into a corresponding set of effects on the immediate environment of the system

Bill P (LCS III):…tthe output function shown in it’s own box represents the means this system has for causing changes in it’s environment.

HB : You see . There is no “controlled changes”, so that you can “push” external variable into “reference state”.

Only in imagination person which is observing can beleive that “reference state” is outhere. But still that means that references are inside not outside. References outside are illusion (even in tracking experiment you can see that). Bill quite nicely and efficiently described why references outside are illusion. Whatever you are trying to prove has to be in accordance to PCT and all experiments that will be made in future has to be in accordance at least to definitions of control loop in PCT theory. Otherwise you are proving that PCT theory is wrong. I’ll not mention problems which you’ll have when you’ll try to transform your “mathematics” into organisms functioning.

O.K. show us how your “calculations” work in sleeping behavior, observing and for ex. in “forhand shot” which you mentioned in your play.

Where is "reference state of of controlled variable existing outside ??? And there are many more behaviors you’ll have to analyse which will not show any “reference state of controlled variable outside”.

I already explained that you look upon “forehand” behavior from wrong “angle”. It seems that Martin understood what I was saying as he made a copy of similar analysis in “everyday actions”.

I think that problem is that you can’t perceive reference state of some external variable, because reference signal for perceptual variable is inside the system. How can you perceive something that is not yet matched to reference and claime that perception is already showing reference state outside ? Until it is matched to reference signal you can’t say anything about the value of perceptual signal in control sense, because actions (outputs) are not controlled to that level that you can say that actions “pushed controlled variable” outside into reference state and you perceived it. Anyway even if that would be true you could use it only for some behaviors not in general sense. We already established that there is no “canonical principle” in PCT. At least when we are generally speaking about PCT. You can’t make general conclusions on one case. You have to make many case theory. If your PhD is real then you should know how scientifc work should be done.

RM : I think Bill’s point in the letter was that when you look at the correlation between c and h, you get the surprising result of ~0.0 correlation because you are leaving out the “other stimulus” involved in producing h – the reference state of c. When you differentiate h = k(r-c), you get ∆h = -k∆c; that “other stimulus” (r) falls out of the equation and you do see a relationship between ∆h and ∆c.

HB : You think ??? Well you’ll have to try again with another behavior. I think that your thinking is wrong in general sense. You are analyzing Bills’ text from your RCT point of view so you have troubles. You still don’t understand PCT and speccially not how organisms function. Playing with “mathematics” behind computer will not give you solution to understanding all behaviors that human organism can produce. And more behaviors you analyze more precise your theory will be.

Boris

Best

Rick

But if you want to talk correlation, the correlation between the waveform input to an integral and its output waveform approaches zero if you have enough samples. The correlation between h and c must be zero if you have enough independent samples. That’s what you found. …
Ned I say it again in plainer language? I guess so: The long-term correlation between the input and output of an integrator is zero.

At least that’s true for any input waveform that could be represented by a Fourier Transform. It’s not very astonishing that you found this to be true of your simulated integrator.

Proof: Take the Fourier Transform of the input waveform (i.e. represent it as the sum of a set of sine waves calculated appropriately). Consider any one of these sine waves by itself. The output of an integrator that has a sine wave as its input is a cosine wave of the same frequency. A sine wave is uncorrelated with a cosine wave of the same frequency. Since no two of the input sine waves are correlated, no two of the corresponding integrator output cosine waves are correlated. Since all the cosine wave outputs are uncorrelated with the corresponding input sine waves, their sum, which is the output waveform, is uncorrelated with the sum of the input waves, which is the input waveform.

Martin

Richard S. Marken

"Perfection is achieved not when you have nothing more to add, but when you
have nothing left to take away.�
–Antoine de Saint-Exupery

Richard S. Marken

"Perfection is achieved not when you have nothing more to add, but when you
have nothing left to take away.�
–Antoine de Saint-Exupery

Richard S. Marken

"Perfection is achieved not when you have nothing more to add, but when you
have nothing left to take away.�
–Antoine de Saint-Exupery

[Rick Marken 2019-07-19_15:49:36]

BH: Riick you are repeating your wrong RCT (Ricks Control Theory) and I’m repeating right PCT theory. Do you understand the difference ???

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BH: SO WILL YOU START PROM0TING BILL Powers PCT OR YOU WILL CONTINUE WITH YOU WRONG RCT AND SHAME Bill Powers name and his PCT.

RM: I don’t do promotion; I do research. I will continue to contribute to the development of PCT by doing research on it, publishing the results of that research and writing books on how to do that research. I’m quite sure that what I do will continue to be seen by you as wrong, to which I can only say “Too bad for you. You are missing out on some really good stuff”.

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BH: And how many times do I have to tell you that I don’t want initials BH, but HB. We know why.

RM: I have no idea and I don’t care. I find you as deplorable as Trump and his followers. I’ll call you whatever I like.Â

RSMÂ

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···

On Fri, Jul 19, 2019 at 11:41 AM “Boris Hartman” csgnet@lists.illinois.edu wrote:

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From: Richard Marken (rsmarken@gmail.com via csgnet Mailing List) csgnet@lists.illinois.edu
Sent: Friday, July 19, 2019 7:24 PM
To: csgnet csgnet@lists.illinois.edu
Subject: Re: The other “stimulus” (was Re: Please help ID important CSGnet threads)

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[Rick Marken 2019-07-19_10:23:54]

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On Fri, Jul 19, 2019 at 9:28 AM “Boris Hartman” csgnet@lists.illinois.edu wrote:

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BH: I have enough of repeating the same things all over again.

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RM: So have I!Â

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You have 20 days to scroll out informations you need for understanding what you don’t understand about PCT and “Control of perception”. Then we’ll see if you learned something. For now I’ll just add some of yours citations (from CSGnet archives) and your versions of RCT (older and newer) and Bills’ PCT in form of definitions and diagram LCS III (as usuall. I don’t have time for instruction now, because I’d like to have 20 day peace on sea-side. You should go to.

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Boris

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From: Richard Marken (rsmarken@gmail.com via csgnet Mailing List) csgnet@lists.illinois.edu
Sent: Wednesday, July 17, 2019 11:47 PM
To: csgnet csgnet@lists.illinois.edu
Subject: Re: The other “stimulus” (was Re: Please help ID important CSGnet threads)

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Manjša : 77.5 x 33.4, debelina 7mm

VeÄ?ja : 80.3 x 34.8, debeline 18mm

[Rick Marken 2019-07-17_14:46:23]

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On Wed, Jul 17, 2019 at 12:49 AM “Boris Hartman” csgnet@lists.illinois.edu wrote:

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BH: The top problem in RCT thoery is that you still beleive that :

  1. Behavior is control
  2. There is some controlled variable in external environment and
  3. There is some “Controlled Perceptual Variable” or CPV in afferent neuron amd that "perceptual signal behave in control manner … What a construct ???

RM:Â I do believe (1) that behavior is control. I believe it because it is a demonstrable fact. And it is the fact that PCT was developed to explain.

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Bill P. at all (50th Anniversary, 2011) : Perceptual Control Theory (PCT) provides a general theory of functioning for organisms.

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HB : Demostrate to us how “Behavior is control” with “controlled variable” look like through sleeping… You can also show us how your RCT works through many other evveryday behaviors.

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RM (earlier) : Sleeping is a tough one but I think it is controlling done by the autonomic nervous system that has the aim of keeping some intrinsic physiological variables in genetically determined reference states.

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HB : How can people survive with not “controlling behavior” and “controlled variables” in outer environment for more hours. Usually people die if they don’t control for few minutes.

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RM :And thanks for getting it right, finally. You typically say that I believe that “behavior is controlled”. I don’t.Â

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RM earlier : I have said that behavior can be controlled. (Search a little bit through archives, you’ll find more)

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RM: I don’t believe (2) that controlled variables necessarily exist in the external environment.

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HB : What does it mean not “necessarily” ??? Once control and “controlled variable” exist in outer environment and once don’t exist. It’s fifty-fifty ??? Tombola ??? PCT is not Lottery. It’s science which need evidences. And you are not showing them as usual.

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RM : Controlled variables above the level of intensity perceptions are assumed to be functions of physical variables. I believe this because it an assumption of the PCT model and I have found that models that control variables that are a function of physical variables account for behavioral data quite accurately.

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RM: I have no idea what (3) means.Â

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RM earlier : PCT does assume that the controlled perceptual variable is constructed… (go through archives, you’ll find more)

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HB : In your older version of RCT about which you didn’t object for years (go see archives) you were talking about :

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  1. CONTROL : Keeping of some »aspect of outer environment« in reference state, protected (defended) from disturbances.
  2. OUTPUT FUNCTION : controlled effects (control of behavior) to outer environment so to keep some »controlled variable« in reference state
  3. FEED-BACK FUNCTION : »Control« of some »aspect of outer environment« in reference state.
  4. INPUT FUNCTION : produce »Controlled Perceptual Variable« or »Controlled Perception«, the perceptual correlate of »controlled q.i.«
  5. COMPARATOR : ???
  6. ERROR SIGNAL : ???
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HB : But than recently you changed a little your mind :

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RM : And here is my corrected version:Â Â

  1. CONTROL : Keeping of some aspect of outer environment – the controlled variable -- in a reference state, protected from disturbances.
  2. OUTPUT FUNCTION : Function that converts an error signal into an output variable that has effects in the environment.
  3. FEED-BACK FUNCTION : Physical laws that determine effect of system outputs on a controlled variable.
  4. INPUT FUNCTION : Function that converts sensory or perceptual inputs into a perceptual signal that is an analog of the aspect of the environment – the controlled variable – defined by the nature of this function.Â
  5. COMPARATOR : Function that takes a perceptual and a reference signal as input and produces an error signal as output, the error signal being proportional to the difference between the inputs to this function.
  6. ERROR SIGNAL : The output of the comparator function.Â
  7. CONTROLLED VARIABLE (or CONTROLLED QUANTITY): The aspect of the environment, defined by the input function, that is controlled by a control system.Â
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HB : We can see that in comparison to Bill’s theory and his definitions of “control loop” these are so big differences that we can easily talk about some strange “non PCT theory”. Why don’t you use your RCT and establish your own forum for theory about “Behavior is control”. Here we are because we beleive in “Control of perception” not behavior.

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PCT Definitions of control loop as the core part of Glossary in B:CP :

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Bill P (B:CP):

  1. CONTROL : Achievement and maintenance of a preselected state in the controlling system, through actions on the environment that also cancel the effects of disturbances.
    Bill P (B:CP):
  1. OUTPUT FUNCTION : The portion of a system that converts the magnitude or state of a signal inside the system into a corresponding set of effects on the immediate environment of the system
    Bill P (LCS III):…the output function shown iin it’s own box represents the means this system has for causing changes in it’s environment.

Bill P (LCS III):

  1. FEED-BACK FUNCTION : The box represents the set of physical laws, properties, arrangements, linkages, by which the action of this system feeds-back to affect its own input, the controlled variable. That’s what feed-back means : it’s an effect of a system’s output on it’s own input.
    Bill P (B:CP) :
  1. INPUT FUNCTION : The portion of a system that receives  signals or stimuli from outside the system, and generates a perceptual signal that is some function of the received signals or stimuli.
    Bill P (B:CP) :
  1. COMPARATOR : The portion of control system that computes the magnitude and direction of mismatch between perceptual and reference signal.
    Bill P (B:CP)
  1.  ERROR : The discrepancy between a perceptual signal and a reference signal, which drives a control system’s output function. The discrepancy between a controlled quantity and it’s present reference level, which causes observable behavior.
    Bill P (B:CP) :
  1. ERROR SIGNAL : A signal indicating the magnitude and direction of error.
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It’s obvious that you are changing means to achieve your goal with turning words arround, redefining loop and all nonsesne stuff which has practically nothing to do with science and PCT. It’s wrong goal a far as PCT is concerned. I’m still missing Bills citations and his diagrams, and of course references that would point to him not to your useless “Mindreadings” and tests and so on. The question is whether Powers Ladies will allow you change PCT or at least it’s definition of control ? I’ll try to show what are you trying to change ???

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Let us start again with LCS diagram LCS III.

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RM : Of course, r is determined by an internal reference signal; but that’s just theory.

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HB : Do you understand what is reference signal in “fact” or better “reference state” that reference signal is representing ? This is the essence of Bills theory and can’t be just “theory”, because it’s supported with physiological evidences. It’s about how organisms function. Go and look where references are originating. Is genetic engineering theoretical science ? Laser, chemical “scalpels” are just theory and imagination ? Do you have any idea to where science already came ?

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By your understanding of physiological functioning of organisms doctors are theoretically recovering people to homeostasis (reference state) ??? How does this theorethical recovering look like in practice ?

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It seems that you are dreaming with opened eyes Rick. For you PCT is theorethical playground behind computer (as goes probably for Martin and Bruce Nevin too) and you are drawning the whole CSGnet into “middle age” darkness with your RCT theoretical background. Go and read Bills literature until you’ll understand what in fact Bills PCT is explaining.

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RM : The success of Bill’s little derivation predicting the relationship between ∆h and ∆c shows that r – the reference state of a controlled variable – is a something that actually exists outside of the control system.

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HB : I’m really wondering what’s wrong with you. Your picture of how organisms function is pure imagination. It has nothing to do with reality. You are adapting everything in the way to prove your point, which is simply wrong. There is not “Control of output”, there is no “controlled variable” outside and thes is no “controlled input” or CPV.

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Explain to us how the relationship between ∆h and ∆c shows that r show existance of reference state of “controlled variable” in environment when you are sleeping, observing, walking, sitting and thinking etc. How many times do I have to tell you that you need to analyse more behaviors and make more experiments so that you can get firm general theoretical background for what you are claiming. Whatever you try to prove has the same problem as Rayleigh–Jeans Law. Experiments and analysis of behaviiors do not confirm your theorethical playground. Where is reference state of a controlled variable in environment when you are sleeping, observing … ?

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But let us see how your fantasy can be incorporated into PCT. Maybe will talk also about what’s the value of your fantasy construct in relation to how organisms function.

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Bill P (B:CP):

CONTROL : Achievement and maintenance of a preselected state in the controlling system, through actions on the environment that also cancel the effects of disturbances.

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HB : We can see that definition of control in Bills theory does not predict “reference state of controlled variable” outside of the control system but inside control system. There are just reference states inside the system where controlling is done. There is no CANNONICAL PRINCIPLE in PCT.

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Your assumption that “reference signal” (r) is just a fiction or theory is wrong. Also assumption that there is some “reference state of controlled variable” outside is wrong because there is no such thing in PCT (see diagram LCS III). If what you are saying is true, Bills definition would look like :

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New RCT definition of control :

CONTROL : Achievement and maintenance of a preselected state in the controlling system, through actions on the environment that also cause reference state in a controlled variable which actually exist in outer environment.

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HB : And that is cannonical principle which we already established that is wrong as it means that to the extend that organims control inside they control also outside and vica verse. There is no such thing in PCT although you could explain one or two behaviors that could resemble to what you are saying. On the basis of one or two experiments behind computer you can get explanation or interpretations of behaviors that could be just partial but wrong theory in general sense when trying to explain all behaviors.

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So you couldn’t explain mass of behaviors or all of behaviors. Just some. So whatever you are proposing is not general theory. It’s some partial construct.

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We have to understand that RCT new definition of control tends to be general as Bill Powers definition of control is general. It is valid for all behaviors. But Ricks is not. So Rick are you proposing a change in Bills general definition of control? Powers ladies (who hates me) probably becasue I’m criticizing Rick, will you support that change ?

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HB : If you’ll change definition of control I assume that also other definitions of PCT control loop has to be changed :

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Bill P (B:CP):

OUTPUT FUNCTION : The portion of a system that converts the magnitude or state of a signal inside the system into a corresponding set of effects on the immediate environment of the system

Bill P (LCS III):…the output function shown in it’s own box representss the means this system has for causing changes in it’s environment.

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New RCT definition :

OUTPUT FUNCTION : The portion of a system that converts the magnitude or state of a signal inside the system into a corresponding CONTROLLED set of effects on the immediate environment of the system… the means that this system has for causing CONTROLLLED CHANGES to “reference state of controlled variable” that actually exist in outer environment.

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HB : Let me remind members again that also this RCT definition has effect of generality. And of course it’s not. It’s valid only for all “controlled behaviors” that are “pushing controlled variable” (Ricks definition of controlled behavior) outside the system into reference state. And that is not what is really happening when organisms behave.

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It’s Ricks imagination. Controlled behavior is not “pushing” perception to reference state. It’s easy to prove with any experiment in nature, which is slow enough so that this characteristic of control system can be clearly seen.

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Now the “input function”.

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In PCT “Input function” is :

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Bill P (B:CP) :

INPUT FUNCTION : The portion of a system that receives  signals or stimuli from outside the system, and generates a perceptual signal that is some function of the received signals or stimuli.

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New RCT definition of “INPUT FUNCTION” :

The portion of a system that receives  signals or stimuli from “controlled variable” outside the system which is in reference state or is approaching to reference state, and generates a perceptual signal that is some function of the received signals or stimuli of “controlled variable in reference state” or “controlled variable” outside the system that is approaching to reference state “pushed” by “controlled behavior”.Â

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COMPARATOR : ???

ERROR : ???

ERROR SIGNAL : ???

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What a mess… As I wrote many times before. There is no plaace for friendship in science. I hope that all PhD members or members with expert titles will support my statement ? We can not let Rick to promote wrong theory. It’s good friendship gesture, but fatal for PCT as a science.

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Boris

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P.S. If Powers ladies would need some help in deciding what to do you can write to me. I’ll explain to you in some limits what’s the problem in Ricks RCT thinking. Although I did it for I don’t know how many times. But if you have some “group of experts” who is doing that, why they didn’t “react” ? Do they also think that PCT is about “Control of behavior” and “some controlled variable outside the system” and of course “Controlled Perceptual Variable” or CPV or “Controlled input”.

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From: Richard Marken (rsmarken@gmail.com via csgnet Mailing List) csgnet@lists.illinois.edu
Sent: Friday, June 14, 2019 9:15 PM
To: csgnet csgnet@lists.illinois.edu
Subject: Re: The other “stimulus” (was Re: Please help ID important CSGnet threads)

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[Rick Marken 2019-06-14_12:13:48]Â Â

[Martin Taylor 2019.06.10.23.27]

MT: We are talking ONLY of the nature of an integral.

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RM: I think you were the only one talking about an integral. I’m talking about Bill’s little note in his letter to me where he showed that the basic PCT relationship between input and output – h = k(r-c) – implies that ∆h = -k∆c. The equation h = k(r-c) implies that, with r = 0, h = -kc, leading to the expectation that there would be a negative correlation between h and c. But Bill had shown that there is no correlation between h and c in a compensatory tracking task. I confirmed this in my first PCT relevant paper. Bill’s letter pointed out that h = k(r-c) also implies that there will be a correlation between ∆h and ∆c. So I took a look at some tracking data and found that, indeed, there was quite a high correlation between ∆h and ∆c, even though there is a zero correlation between h and c. At first I thought this meant that reference noise was responsible for the low h- c correlation. But my modeling led me to realize that it implied just the opposite; that the low h - c correlation was a result of input noise. And the modeling suggested that this is indeed the case.

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RM: You introduced the idea that Bill simple equation for output as a function of input , h = k (r-c), was wrong because it was inconsistent with his diagram. You said it should be h = k∫(r-c)dt which implies that ∆h = -kc, not ∆h = -k∆c, which would imply a high negative correlation between ∆h and c. But there was no such correlation in the data. I believe your claim is that this low correlation is expected due to the nature of integration. If this were the case, the observed correlation between ∆h and c would be constrained be 0 and it wouldn’t be a very interesting piece of data to look at. But in my simulations I’ve found that the correlation between ∆h and c can get to be quite high (> .6) when noise is added to the input (r-c) to the integration. This is based on 3600 samples, which seems like it should be enough to bring the correlation down to zero if, as you say, the correlation between the input to and output from an integral approaches zero if you have enough samples. I think the problem may be that the output function is actually a leaky integration, which behaves more like a filter. But if I continue work on this project you can write one of your brilliant mathematical critiques if I get it published.Â

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RM: But there is still the question of why Bill’s little derivation – ∆h = -k∆c – fits the data and yours – ∆h = -kc doesn’t. This is especially interesting because you believe your equation is based on the correct function relating output to input – h = k∫(r-c)dt – which Bill based his on the wrong one -- Bill based his equation on the wrong one – h = k(r-c). But, as usual, I think the mistake is yours, not Bill’s. Your mistake was deriving a relationship between variables ∆h and ∆c  from an equation that is part of a set of simultaneous equations that describe the possible functional relationships between variables in a control loop (as shown in Bill’s diagram). To see how the variables in this loop (or their derivatives) are related you have to solve the simultaneous equations that define the loop. Bill derived the relationship between ∆h and ∆c from an equation that describes a relationship between observable variables that is predicted by PCT! The observable variables are c, h and r, where r is the “other stimulus” that Bill mentioned in the letter. It’s a “stimulus” in scare quotes because it is not really a external stimulus variable (like c is) but the state of that variable.Of course, r is determined by an internal reference signal; but that’s just theory. The success of Bill’s little derivation in predicting the relationship between ∆h and ∆c shows that r – the reference state of a controlled variable – is a something that actually exists outside of the control system.

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HB : This is something what you want to beleive. First you are claiming that what Martin says that Bill is wrong and you say, that Bill is right. A little later you claim that Bills “r” is just a theory, so he might be wrong. But big Rick Marken solved the riddle. I’m sorry to say Rick. You are bullshitting again.

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Give us some other experiments that will work as you predicted in your “mathematical” discourse. You can’t make generalization on one experiment. How many times do I have to repeat that. This is not how organsims function. I can demonstrate you at least 10 experiments which will show that you are wrong about existance of reference states outside no matter how “mathematically” precise you think that you are “calculating” how PCT control loop function.

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So it’s sure not true how ever you read Bills notes or diagram what you are saying. There is no reference states of external variables. It’s opposing basic deffinition of control in PCT.

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Bill P (B:CP):

CONTROL : Achievement and maintenance of a preselected state in the controlling system, through actions on the environment that also cancel the effects of disturbances.

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If what you are saying is right :

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RM : ….predicting the relationsship between ∆h and ∆c shows that r – the reference state of a controlled variable – is a something that actually exists outside of the control system.

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HB : …then it’s obviously that Bills definition of control is wrong. Will you try to change it ? Will Powers ladies who hates me (because I’m ciriticizing you) allow that ?

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Nothing is controlled outside, although behavior involve control as you wrote once. But not for controlling outside but insdie. There are just effects to external environment, not “controlled effects”. If we stick to PCT. But if you want to change also that try.

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Bill P (B:CP):

OUTPUT FUNCTION : The portion of a system that converts the magnitude or state of a signal inside the system into a corresponding set of effects on the immediate environment of the system

Bill P (LCS III):…the output function shown in it’s own box represents the means this system has for causing changes in it’s environment.

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HB : You see . There is no “controlled changes”, so that you can “push” external variable into “reference state”.Â

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Only in imagination person which is observing can beleive that “reference state” is outhere. But still that means that references are inside not outside. References outside are illusion (even in tracking experiment you can see that). Bill quite nicely and efficiently described why references outside are illusion. Whatever you are trying to prove has to be in accordance to PCT and all experiments that will be made in future has to be in accordance at least to definitions of control loop in PCT theory. Otherwise you are proving that PCT theory is wrong. I’ll not mention problems which you’ll have when you’ll try to transform your “mathematics” into organisms functioning.

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O.K. show us how your “calculations” work in sleeping behavior, observing and for ex. in “forhand shot” which you mentioned in your play.

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Where is "reference state of of controlled variable existing outside ??? And there are many more behaviors you’ll have to analyse which will not show any “reference state of controlled variable outside”.Â

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I already explained that you look upon “forehand” behavior from wrong “angle”. It seems that Martin understood what I was saying as he made a copy of similar analysis in “everyday actions”. Â

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I think that problem is that you can’t perceive reference state of some external variable, because reference signal for perceptual variable is inside the system. How can you perceive something that is not yet matched to reference and claime that perception is already showing reference state outside ? Until it is matched to reference signal you can’t say anything about the value of perceptual signal in control sense, because actions (outputs) are not controlled to that level that you can say that actions “pushed controlled variable” outside into reference state and you perceived it. Anyway even if that would be true you could use it only for some behaviors not in general sense. We already established that there is no “canonical principle” in PCT. At least when we are generally speaking about PCT. You can’t make general conclusions on one case. You have to make many case theory. If your PhD is real then you should know how scientifc work should be done.

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RM : I think Bill’s point in the letter was that when you look at the correlation between c and h, you get the surprising result of ~0.0 correlation because you are leaving out the “other stimulus” involved in producing h – the reference state of c. When you differentiate h = k(r-c), you get ∆h = -k∆c; that “other stimulus” (r) falls out of the equation and you do see a relationship between ∆h and ∆c.

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HB : You think ??? Well you’ll have to try again with another behavior. I think that your thinking is wrong in general sense. You are analyzing Bills’ text from your RCT point of view so you have troubles. You still don’t understand PCT and speccially not how organisms function. Playing with “mathematics” behind computer will not give you solution to understanding all behaviors that human organism can produce. And more behaviors you analyze more precise your theory will be.

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But if you want to talk correlation, the correlation between the waveform input to an integral and its output waveform approaches zero if you have enough samples. The correlation between h and c must be zero if you have enough independent samples. That’s what you found. …
Ned I say it again in plainer language? I guess so: The long-term correlation between the input and output of an integrator is zero.

At least that’s true for any input waveform that could be represented by a Fourier Transform. It’s not very astonishing that you found this to be true of your simulated integrator.

Proof: Take the Fourier Transform of the input waveform (i.e. represent it as the sum of a set of sine waves calculated appropriately). Consider any one of these sine waves by itself. The output of an integrator that has a sine wave as its input is a cosine wave of the same frequency. A sine wave is uncorrelated with a cosine wave of the same frequency. Since no two of the input sine waves are correlated, no two of the corresponding integrator output cosine waves are correlated. Since all the cosine wave outputs are uncorrelated with the corresponding input sine waves, their sum, which is the output waveform, is uncorrelated with the sum of the input waves, which is the input waveform.

Martin

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Richard S. MarkenÂ

"Perfection is achieved not when you have nothing more to add, but when you
have nothing left to take away.�
                --Antoine de Saint-Exupery

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Richard S. MarkenÂ

"Perfection is achieved not when you have nothing more to add, but when you
have nothing left to take away.�
                --Antoine de Saint-Exupery

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On Wed, Jul 17, 2019 at 12:49 AM “Boris Hartman” csgnet@lists.illinois.edu wrote:

Rick,

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it seems that you need “help”… You brought PCT into desperate position and I think that we aall know this. Whatever you’ve done is irresponsable. Like a child with his toy.

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I’ve mentioned many times Rayleigh–Jeans Law. They used wronng interpretation and numbers to describe whatever they thought was happening in physical reality. Physical experiments didn’f feet in their equations. And the same is happening to your “calculations” of control loop. They don’t feet reality or real experiments made in reality.

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So you’ll have to prove your new invention with more experiments and everyday behaviors :

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RM : The success of Bill’s little derivation predicting the relationship between ∆h and ∆c shows that r – the reference state of a controlled variable – is a something that actually exists outside of the control system.

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HB : So Rick we are waiting that you prove your new invention with experiments and analysis of everyday behaviors. Where is “the reference state of controlled variable” outside the system when you are sleeping, sun-bathing, walking, observing… So what we want is to confirm your “;new theory” with “facts”.

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If words or numbers turn to describe wrongly what is happening in Reality (and yours words and numbers with no doubt are of this kind) than we have to change interpretations or calculations. I hope you will not say that Reality has to be changed to fit your calculations.

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Whatever you wrote or present can’t be confirmed with many behaviors. And that’s what theory is for. To test it in Reality. So why don’t you start conforming your nonsense with behaviors in Reality. Problem is that your theory will not work in 3-D space (because it works only in x and y dimension). When you’ll test your RCT with for ex. 50 behaviors it will turn out that you don’t “control behavior” and that there is no “controlled variable” in environment and that “behavior is not control of perception” because perceptual signal does not behave. Where did you find all that imaginational constructs ???

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Most problematic is that your new “invention” is not confirming PCT. You are contradicting as usually. You are trying to change PCT again as so many times before. You have one clear goal. You try to prove that there exist control in outer environment and it can be perceived through “Controlled Perceptual Variable” or CPV.

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The top problem in RCT thoery is that you still beleive that :

  1. Behavior is control
  2. There is some controlled variable in external environment and
  3. There is some “Controlled Perceptual Variable” or CPV in afferent neuron amd that "perceptual signal behave in control manner … What a construct ???
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It’s obvious that you are changing means to achieve your goal with turning words arround, redefining loop and all nonsesne stuff which has practically nothing to do with science and PCT. It’s wrong goal a far as PCT is concerned. I’m still missing Bills citations and his diagrams, and of course references that would point to him not to your useless “Mindreadings” and tests and so on. The question is whether Powers Ladies will allow you change PCT or at least it’s definition of control ? I’ll try to show what are you trying to change ???

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Let us start again with LCS diagram LCS III.

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RM : Of course, r is determined by an internal reference signal; but that’s just theory.

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HB : Do you understand what is reference signal in “fact” or better “reference state” that reference signal is representing ? This is the essence of Bills theory and can’t be just “theory”, because it’s supported with physiological evidences. It’s about how organisms function. Go and look where references are originating. Is genetic engineering theoretical science ? Laser, chemical “scalpels” are just theory and imagination ? Do you have any idea to where science already came ?

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By your understanding of physiological functioning of organisms doctors are theoretically recovering people to homeostasis (reference state) ??? How does this theorethical recovering look like in practice ?

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It seems that you are dreaming with opened eyes Rick. For you PCT is theorethical playground behind computer (as goes probably for Martin and Bruce Nevin too) and you are drawning the whole CSGnet into “middle age” darkness with your RCT theoretical background. Go and read Bills literature until you’ll understand what in fact Bills PCT is explaining.

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RM : The success of Bill’s little derivation predicting the relationship between ∆h and ∆c shows that r – the reference state of a controlled variable – is a something that actually exists outside of the control system.

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HB : I’m really wondering what’s wrong with you. Your picture of how organisms function is pure imagination. It has nothing to do with reality. You are adapting everything in the way to prove your point, which is simply wrong. There is not “Control of output”, there is no “controlled variable” outside and thes is no “controlled input” or CPV.

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Explain to us how the relationship between ∆h and ∆c shows that r show existance of reference state of “controlled variable” in environment when you are sleeping, observing, walking, sitting and thinking etc. How many times do I have to tell you that you need to analyse more behaviors and make more experiments so that you can get firm general theoretical background for what you are claiming. Whatever you try to prove has the same problem as Rayleigh–Jeans Law. Experiments and analysis of behaviors do not confirm yoour theorethical playground. Where is reference state of a controlled variable in environment when you are sleeping, observing … ?

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But let us see how your fantasy can be incorporated into PCT. Maybe will talk also about what’s the value of your fantasy construct in relation to how organisms function.

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Bill P (B:CP):

CONTROL : Achievement and maintenance of a preselected state in the controlling system, through actions on the environment that also cancel the effects of disturbances.

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HB : We can see that definition of control in Bills theory does not predict “reference state of controlled variable” outside of the control system but inside control system. There are just reference states inside the system where controlling is done. There is no CANNONICAL PRINCIPLE in PCT.

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Your assumption that “reference signal” (r) is just a fiction or theory is wrong. Also assumption that there is some “reference state of controlled variable” outside is wrong because there is no such thing in PCT (see diagram LCS III). If what you are saying is true, Bills definition would look like :

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New RCT definition of control :

CONTROL : Achievement and maintenance of a preselected state in the controlling system, through actions on the environment that also cause reference state in a controlled variable which actually exist in outer environment.

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HB : And that is cannonical principle which we already established that is wrong as it means that to the extend that organims control inside they control also outside and vica verse. There is no such thing in PCT although you could explain one or two behaviors that could resemble to what you are saying. On the basis of one or two experiments behind computer you can get explanation or interpretations of behaviors that could be just partial but wrong theory in general sense when trying to explain all behaviors.

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So you couldn’t explain mass of behaviors or all of behaviors. Just some. So whatever you are proposing is not general theory. It’s some partial construct.

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We have to understand that RCT new definition of control tends to be general as Bill Powers definition of control is general. It is valid for all behaviors. But Ricks is not. So Rick are you proposing a change in Bills general definition of control? Powers ladies (who hates me) probably becasue I’m criticizing Rick, will you support that change ?

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HB : If you’ll change definition of control I assume that also other definitions of PCT control loop has to be changed :

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Bill P (B:CP):

OUTPUT FUNCTION : The portion of a system that converts the magnitude or state of a signal inside the system into a corresponding set of effects on the immediate environment of the system

Bill P (LCS III):…thee output function shown in it’s own box represents the means this system has for causing changes in it’s environment.

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New RCT definition :

OUTPUT FUNCTION : The portion of a system that converts the magnitude or state of a signal inside the system into a corresponding CONTROLLED set of effects on the immediate environment of the system… the means that this system has for causing CONTROLLED CHANGES to “reference state of controlled variable” that actually exist in outer environment.

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HB : Let me remind members again that also this RCT definition has effect of generality. And of course it’s not. It’s valid only for all “controlled behaviors” that are “pushing controlled variable” (Ricks definition of controlled behavior) outside the system into reference state. And that is not what is really happening when organisms behave.

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It’s Ricks imagination. Controlled behavior is not “pushing” perception to reference state. It’s easy to prove with any experiment in nature, which is slow enough so that this characteristic of control system can be clearly seen.

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Now the “input function”.

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In PCT “Input function” is :

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Bill P (B:CP) :

INPUT FUNCTION : The portion of a system that receives  signals or stimuli from outside the system, and generates a perceptual signal that is some function of the received signals or stimuli.

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New RCT definition of “INPUT FUNCTION” :

The portion of a system that receives  signals or stimuli from “controlled variable” outside the system which is in reference state or is approaching to reference state, and generates a perceptual signal that is some function of the received signals or stimuli of “controlled variable in reference state” or “controlled variable” outside the system that is approaching to reference state “pushed” by “controlled behavior”.Â

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COMPARATOR : ???

ERROR : ???

ERROR SIGNAL : ???

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What a mess… As I wrote many times before. There is no place for friendship inn science. I hope that all PhD members or members with expert titles will support my statement ? We can not let Rick to promote wrong theory. It’s good friendship gesture, but fatal for PCT as a science.

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Boris

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P.S. If Powers ladies would need some help in deciding what to do you can write to me. I’ll explain to you in some limits what’s the problem in Ricks RCT thinking. Although I did it for I don’t know how many times. But if you have some “group of experts” who is doing that, why they didn’t “react” ? Do they also think that PCT is about “Control of behavior” and “some controlled variable outside the system” and of course “Controlled Perceptual Variable” or CPV or “Controlled input”.

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From: Richard Marken (rsmarken@gmail.com via csgnet Mailing List) csgnet@lists.illinois.edu
Sent: Friday, June 14, 2019 9:15 PM
To: csgnet csgnet@lists.illinois.edu
Subject: Re: The other “stimulus” (was Re: Please help ID important CSGnet threads)

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[Rick Marken 2019-06-14_12:13:48]Â Â

[Martin Taylor 2019.06.10.23.27]

MT: We are talking ONLY of the nature of an integral.

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RM: I think you were the only one talking about an integral. I’m talking about Bill’s little note in his letter to me where he showed that the basic PCT relationship between input and output – h = k(r-c) – implies that ∆h = -k∆c. The equation h = k(r-c) implies that, with r = 0, h = -kc, leading to the expectation that there would be a negative correlation between h and c. But Bill had shown that there is no correlation between h and c in a compensatory tracking task. I confirmed this in my first PCT relevant paper. Bill’s letter pointed out that h = k(r-c) also implies that there will be a correlation between ∆h and ∆c. So I took a look at some tracking data and found that, indeed, there was quite a high correlation between ∆h and ∆c, even though there is a zero correlation between h and c. At first I thought this meant that reference noise was responsible for the low h- c correlation. But my modeling led me to realize that it implied just the opposite; that the low h - c correlation was a result of input noise. And the modeling suggested that this is indeed the case.

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RM: You introduced the idea that Bill simple equation for output as a function of input , h = k (r-c), was wrong because it was inconsistent with his diagram. You said it should be h = k∫(r-c)dt which implies that ∆h = -kc, not ∆h = -k∆c, which would imply a high negative correlation between ∆h and c. But there was no such correlation in the data. I believe your claim is that this low correlation is expected due to the nature of integration. If this were the case, the observed correlation between ∆h and c would be constrained be 0 and it wouldn’t be a very interesting piece of data to look at. But in my simulations I’ve found that the correlation between ∆h and c can get to be quite high (> .6) when noise is added to the input (r-c) to the integration. This is based on 3600 samples, which seems like it should be enough to bring the correlation down to zero if, as you say, the correlation between the input to and output from an integral approaches zero if you have enough samples. I think the problem may be that the output function is actually a leaky integration, which behaves more like a filter. But if I continue work on this project you can write one of your brilliant mathematical critiques if I get it published.Â

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RM: But there is still the question of why Bill’s little derivation – ∆h = -k∆c – fits the data and yours – ∆h = -kc doesn’t. This is especially interesting because you believe your equation is based on the correct function relating output to input – h = k∫(r-c)dt – which Bill based his on the wrong one -- Bill based his equation on the wrong one – h = k(r-c). But, as usual, I think the mistake is yours, not Bill’s. Your mistake was deriving a relationship between variables ∆h and ∆c  from an equation that is part of a set of simultaneous equations that describe the possible functional relationships between variables in a control loop (as shown in Bill’s diagram). To see how the variables in this loop (or their derivatives) are related you have to solve the simultaneous equations that define the loop. Bill derived the relationship between ∆h and ∆c from an equation that describes a relationship between observable variables that is predicted by PCT! The observable variables are c, h and r, where r is the “other stimulus” that Bill mentioned in the letter. It’s a “stimulus” in scare quotes because it is not really a external stimulus variable (like c is) but the state of that variable.Of course, r is determined by an internal reference signal; but that’s just theory. The success of Bill’s little derivation in predicting the relationship between ∆h and ∆c shows that r – the reference state of a controlled variable – is a something that actually exists outside of the control system.

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HB : This is something what you want to beleive. First you are claiming that what Martin says that Bill is wrong and you say, that Bill is right. A little later you claim that Bills “r” is just a theory, so he might be wrong. But big Rick Marken solved the riddle. I’m sorry to say Rick. You are bullshitting again.

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Give us some other experiments that will work as you predicted in your “mathematical” discourse. You can’t make generalization on one experiment. How many times do I have to repeat that. This is not how organsims function. I can demonstrate you at least 10 experiments which will show that you are wrong about existance of reference states outside no matter how “mathematically” precise you think that you are “calculating” how PCT control loop function.

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So it’s sure not true how ever you read Bills notes or diagram what you are saying. There is no reference states of external variables. It’s opposing basic deffinition of control in PCT.

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Bill P (B:CP):

CONTROL : Achievement and maintenance of a preselected state in the controlling system, through actions on the environment that also cancel the effects of disturbances.

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If what you are saying is right :

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RM : ….predicting the relationship between ∆†h and ∆c shows that r – the reference state of a controlled variable – is a something that actually exists outside of the control system.

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HB : …then it&'s obviously that Bills definition of control is wrong. Will you try to change it ? Will Powers ladies who hates me (because I’m ciriticizing you) allow that ?

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Nothing is controlled outside, although behavior involve control as you wrote once. But not for controlling outside but insdie. There are just effects to external environment, not “controlled effects”. If we stick to PCT. But if you want to change also that try.

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Bill P (B:CP):

OUTPUT FUNCTION : The portion of a system that converts the magnitude or state of a signal inside the system into a corresponding set of effects on the immediate environment of the system

Bill P (LCS III):…the output function shown in itœs own box represents the means this system has for causing changes in it’s environment.

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HB : You see . There is no “controlled changes”, so that you can “push” external variable into “reference state”.Â

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Only in imagination person which is observing can beleive that “reference state” is outhere. But still that means that references are inside not outside. References outside are illusion (even in tracking experiment you can see that). Bill quite nicely and efficiently described why references outside are illusion. Whatever you are trying to prove has to be in accordance to PCT and all experiments that will be made in future has to be in accordance at least to definitions of control loop in PCT theory. Otherwise you are proving that PCT theory is wrong. I’ll not mention problems which you’ll have when you’ll try to transform your “mathematics” into organisms functioning.

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O.K. show us how your “calculations” work in sleeping behavior, observing and for ex. in “forhand shot” which you mentioned in your play.

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Where is "reference state of of controlled variable existing outside ??? And there are many more behaviors you’ll have to analyse which will not show any “reference state of controlled variable outside”.Â

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I already explained that you look upon “forehand” behavior from wrong “angle”. It seems that Martin understood what I was saying as he made a copy of similar analysis in “everyday actions”. Â

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I think that problem is that you can’t perceive reference state of some external variable, because reference signal for perceptual variable is inside the system. How can you perceive something that is not yet matched to reference and claime that perception is already showing reference state outside ? Until it is matched to reference signal you can’t say anything about the value of perceptual signal in control sense, because actions (outputs) are not controlled to that level that you can say that actions “pushed controlled variable” outside into reference state and you perceived it. Anyway even if that would be true you could use it only for some behaviors not in general sense. We already established that there is no “canonical principle” in PCT. At least when we are generally speaking about PCT. You can’t make general conclusions on one case. You have to make many case theory. If your PhD is real then you should know how scientifc work should be done.

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RM : I think Bill’s point in the letter was that when you look at the correlation between c and h, you get the surprising result of ~0.0 correlation because you are leaving out the “other stimulus” involved in producing h – the reference state of c. When you differentiate h = k(r-c), you get ∆h = -k∆c; that “other stimulus” (r) falls out of the equation and you do see a relationship between ∆h and ∆c.

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HB : You think ??? Well you’ll have to try again with another behavior. I think that your thinking is wrong in general sense. You are analyzing Bills’ text from your RCT point of view so you have troubles. You still don’t understand PCT and speccially not how organisms function. Playing with “mathematics” behind computer will not give you solution to understanding all behaviors that human organism can produce. And more behaviors you analyze more precise your theory will be.

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Boris

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Rick

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But if you want to talk correlation, the correlation between the waveform input to an integral and its output waveform approaches zero if you have enough samples. The correlation between h and c must be zero if you have enough independent samples. That’s what you found. …
Ned I say it again in plainer language? I guess so: The long-term correlation between the input and output of an integrator is zero.

At least that’s true for any input waveform that could be represented by a Fourier Transform. It’s not very astonishing that you found this to be true of your simulated integrator.

Proof: Take the Fourier Transform of the input waveform (i.e. represent it as the sum of a set of sine waves calculated appropriately). Consider any one of these sine waves by itself. The output of an integrator that has a sine wave as its input is a cosine wave of the same frequency. A sine wave is uncorrelated with a cosine wave of the same frequency. Since no two of the input sine waves are correlated, no two of the corresponding integrator output cosine waves are correlated. Since all the cosine wave outputs are uncorrelated with the corresponding input sine waves, their sum, which is the output waveform, is uncorrelated with the sum of the input waves, which is the input waveform.

Martin

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Richard S. MarkenÂ

"Perfection is achieved not when you have nothing more to add, but when you
have nothing left to take away.�
                --Antoine de Saint-Exupery

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Richard S. MarkenÂ

"Perfection is achieved not when you have nothing more to add, but when you
have nothing left to take away.�
                --Antoine de Saint-Exupery

Â

Richard S. MarkenÂ

"Perfection is achieved not when you have nothing more to add, but when you
have nothing left to take away.�
                --Antoine de Saint-Exupery


Richard S. MarkenÂ

"Perfection is achieved not when you have nothing more to add, but when you
have nothing left to take away.�
                --Antoine de Saint-Exupery