# Mathematical Model

(Gavin Ritz 2008.04.27.14.45NZT)

Rick

Do you have a mathematical model for say a 10 (deep) by 25 (wide) CS
matrixes? And where you can change the reference levels of each CS module?

Regards
Gavin

[From Bill Powers (2008.04.26.2235 MDT)]

(Gavin Ritz 2008.04.27.14.45NZT) --

Do you have a mathematical model for say a 10 (deep) by 25 (wide) CS
matrixes? And where you can change the reference levels of each CS module?

If anyone knew how the higher-level perceptions work, we would be able to do that. As it stands now we have constructed three or four-level models that are 14 systems wide (with reorganization, too). That's for an arm and hand with 14 degrees of freedom (the fingers working together as in a mitten) in a combined visual-motor model of tracking behavior. That's a kinematic model with moments of inertia taken into account but no interactions involving Coriolis effects. That sort of math is right at the limit of what I can do. There are other people who could do it a lot better, but only Richard Kennaway among them has become interested in PCT and contributed his skills in this area.

And where you can change the reference levels of each CS module?

This shows that you haven't yet read B:CP. I highly recommend doing so.

Best,

Bill P.

[From Bill Powers (2008.04.26.2235 MDT)]

(Gavin Ritz 2008.04.27.14.45NZT)

And where you can change the reference levels of each CS module?

This shows that you haven't yet read B:CP. I highly recommend doing so.

And I meant to add: the short answer is that lower-level reference signals are varied as the means by which higher-level control systems act. And yes, we realize that there is a highest level, and no, we have not pinned down any definitive answer to the question of where those reference signals come from.

The theory of reorganization adds a set of innate intrisic control systems whose reference signals are set by heredity (and thus evolution), but these systems operate off to one side of the whole hierarchy, not just at the highest level.

Best,

Bill P.

[From Rick Marken (2008.04.26.2220)]

(Gavin Ritz 2008.04.27.14.45NZT)

Rick

Do you have a mathematical model for say a 10 (deep) by 25 (wide) CS
matrixes? And where you can change the reference levels of each CS module?

I have a spreadsheet model with 3 levels (deep) and 6 CSs at each
level (wide). You can change the references for the highest (3rd)
level systems, in which case you are doing what the systems at level 4
would do if they were there. The model is the last pick ("Spreadsheet
Simulation of a Hierarchy of Control Systems") in the list at
http://www.mindreadings.com/demos.htm

Best

Rick

ยทยทยท

--
Richard S. Marken PhD
rsmarken@gmail.com