[From Bruce Abbott (2014.03.18.1330 EDT)]
Adam Matic 2014.03.17 1645 cet –
Bruce Abbott (2014.03.18.0945 EDT)
BA: But as Fechner demonstrated, one can use difference thresholds to construct an actual input function relating the intensity of a sound wave to its perceived loudness. (By the way, in that function, the zero-point falls at the absolute threshold for intensity – that’s how the absolute threshold factors in to the mathematical function.)
AM:
What the subject is controlling is the difference between two intensities, as in the method of adjustment. Would you say that the various difference thresholds are related to the gain of this difference controlling system?
I mean, if the gain of this system is low, then it won’t find small differences. If it is high, it will find very small differences.
BA: It could relate to gain, but the resolving power of a perceptual system is affected by other factors as well, such as how much “noise” is present in the system and, in the case of the visual system, the type and density of photoreceptors (somewhat like pixel size in a digital camera).
BA: I was going to use the same example to distinguish between controlled versus uncontrolled perceptions. Where the target appears on the screen is not under your control; the computer program “decides” that. What is under your control is the cursor position, which you control by moving the mouse.
AM:
I don’t think that position of the cursor on the screen is a controlled variable.
BA: Let me ask you this: can you put the cursor in whatever vertical position you wish (within the limits determined by the program)? If so, then you are controlling the position of the cursor.
“Position of the cursor on the screen” is a computer variable related to the coordinate system of the screen, as is the “position of the target on the screen”, as is the “difference between positions of target and cursor”. Those are quantities in the model of the environment. The perceptual signal of the model is inputGain*positionDifference, and only this quantity is what is being controlled by our model control system. The system is varying position of the handle, which is related to the cursor position and disturbance variables, which is related to the position difference variable. All the variables in the last sentence are parts of the environment of the model control system.
BA: And just how is the model controlling that difference? By moving the simulated handle (the actions) to move the (computed) position of the cursor closer to the (computed) position of the target. It doesn’t just directly change a positional difference. The program computes target position without accounting for the user’s actions – it simply applies a computed disturbance value to target position, iteration by iteration. It changes the difference between target position and cursor position only by moving the cursor in accordance with the model’s simulated actions. In other words, it reduces the error between (computed) target position and (computed) cursor position by controlling the position of the cursor.
That would make retinal position of the target stick a controlled and perceived variable as much as retinal position of the cursor stick. Hypothetically, both are being controlled by some eye-focusing-on-object system, or a different type of position-difference-producing function. Nevertheless, they are both controlled variables. Experimentally supported is only the hypothesis that the controlled variable is this difference between their position.
BA: Adam, it’s a bit disconcerting to me that you haven’t entered into a discussion with me relating to the points I’ve raised; I have no idea whether you agree or disagree with them or even whether you have understood them correctly. Thus it’s is hard to know what else to say that might help you to understand the difference between controlled and uncontrolled perceptions.
In my previous post I noted the we do perceive both the target line and cursor line as separate objects on the screen, each with its own set of properties – position, length, thickness, color, etc. By design, the only property of those objects that the user is able to control for the purpose of tracking the target is the vertical position of the cursor – through the action of moving the mouse in the appropriate direction. That’s all there is to it. The user does not control the vertical position of the target.
I’ve also noted that other aspects of these objects may be under the user’s control, such as whether they are visible or not (you can look at them or not), or where the image of these objects is focused on the retina. But that is irrelevant to the fact that, for purposes of keeping the cursor aligned with the target, the user can only do that by moving the mouse and thereby moving the cursor. But in response you point out that retinal position is a controlled variable, etc., as if that were a telling argument against the view I’m defending, which is that the user has control only over cursor position as the means of keeping the cursor aligned with the target.
Bruce