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- Date: Wed, 23 Dec 1992 10:24:49 -0700
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- From: "William T. Powers" <POWERS_W%FLC@VAXF.COLORADO.EDU>
- Subject: Descriptive/generative; info theory; applying PCT
- Lines: 148
-
- [From Bill Powers (921223.0915)]
-
- It's interesting how a defense turns into an attack, and how
- letting down the defenses also reduces the attacks. Sometimes the
- best defense is no defense at all.
-
- Martin Taylor (921222.1815) --
-
- >But I'm equally impressed with the argument from evolution and
- >other more abstract arguments of necessity and possibility.
- >They all support one another.
-
- The problem with arguments from evolution and other abstract
- arguments is that while they may apply to a particular case, they
- may also turn out to apply to counterfactual cases. They may
- contain flaws that don't show up in the factual case (for
- instance, flaws in internal logic), but those flaws can make the
- generalized explanations specious, even though they "support" a
- more concrete analysis.
-
- A generative model can be wrong; it can produce right results for
- wrong reasons, which show up only when circumstances change
- enough to reveal a wrong prediction. This is how generative
- models progress; from error to error. Generative models commit
- themselves to specific proposals about underlying details of
- operation. That makes them very sensitive to experimental test.
-
- Descriptive models, however, are not very sensitive to
- experimental test, some not at all. If they're cleverly put,
- their predictions can remain true no matter what the outcome of
- an experiment. So they are capable of "supporting" completely
- contradictory generative models. This is not really support at
- all. It is merely agreement. All experimental results pertaining
- to behavior, whether correct or erroneous, are agreed to by the
- generalization that natural selection produced the behavior we
- find with our experiments. So evolutionary theory "supports"
- whatever we find to be the case -- even if, later on, we discover
- a mistake and find something else to be the case.
-
- This is why I prefer generative models. They are more sensitive
- to experimental test.
-
- RE: information theory
-
- >>Who is doing this presuming in the system? I asked why the
- >>perceptual and reference signals should not both be considered
- >>to carry an information flow appropriate to a signal varying
- >>within a 2Hz bandwidth. You didn't answer that.
-
- >The presumption was one that you (Bill Powers) would have to
- >make in order to assert that the perceptual and reference
- >signals would convey to you (Bill Powers) information at a rate
- >appropriate to a 2Hz bandwidth. To anyone else, the
- >information rates might be different.
- Ok, so to me, the perceptual signal carries low information if I
- already know the reference signal, and vice versa.
-
- However, if we define the comparator as the receiver of the
- information in both channels, doesn't this imply that to the
- comparator, the same must be true? This doesn't seem satisfactory
- to me. Perhaps we have to define the receiver more carefully. A
- comparator receives the reference signal and the perceptual
- signal at the same time, so it knows neither one before the
- other. Further, what it "knows" is only amplitude, over a
- relatively short span of time like 0.1 sec or less. It
- immediately forgets the history of both signals, and it contains
- no machinery for making extrapolations of either signal into the
- future. It seems to me that this comes down to the original
- Shannon application of information theory -- to defining the
- information CAPACITY of a channel rather than the actual
- information flow in that channel, which can be less than the
- channel capacity. At times when no signal is flowing, the
- information flow is zero, yet the physical channel capacity
- remains the same. Channel capacity is a function of physical
- design; information flow is a function of the kind of message
- being carried -- not so?
- -------------------------------------------------------------
- Gary Cziko (921223.0315 GMT) --
-
- >But surely, while the modeling is very important, I would like
- >to think that there are lots of ways of advancing PCT without
- >doing the nitty-gritty modeling.
-
- There are ways of APPLYING and TESTING the findings of PCT
- without modeling and formal experimentation, but there aren't any
- ways of ADVANCING it. If you're willing to take the word of
- modelers and experimenters about how control systems work
- (199223), then you can apply PCT all over the place. There are,
- however, dangers in putting too much trust in a theory that is
- underdeveloped -- in taking the pronouncements of theoreticians
- and researchers on faith.
-
- One way to guard against these dangers to some extent is to make
- sure that every application of PCT that you think of is also
- designed as a TEST of PCT. In psychology, theories of behavior,
- once "determined" to be true by someone's study, are never tested
- again. They are used to explain behavior and diagnose behavioral
- problems, but nobody ever says "If this theory is still true, in
- this situation, then when I do X (or X happens) I ought to
- observe consequence Y." Instead, what is observed is some
- consequence Y, and it is assumed, because of the theory, that X
- must have occurred. If depressed white males have been found to
- have difficulty with following complex instructions, then if a
- person has difficulty following complex instructions, that person
- must be depressed (or a depressed white male).
-
- PCT can be used the same way, of course. But PCT is designed from
- the ground up as a predictive model. It can be applied that way.
- PCT says that organisms, when pushed, push back (whatever the controlled
- variable being pushed upon). If you want to see if a
- person's behavior fits this model, you push on what you believe
- to be a controlled variable and see if the person pushes back to
- counteract your push. If so, you can explain that particular
- behavior using the same model.
-
- If you want to find out whether black, brown, tan, or beige
- Americans "tend to see cultural and language differences as a
- type of protective barrier to maintain," you try to disturb these
- barriers (or look for natural disturbances) and look for actions
- that specifically counteract the disturbances. You may find that
- for some differences this holds true and for others it doesn't.
- "Cultural and language differences" cover a lot of territory, and
- much of it may be irrelevant. It would be better to find out what
- disturbances they do resist, and make the generalization
- afterward. And it's important to make a prediction from control
- theory (and your hypothesis about the controlled variable) FIRST,
- so you're committed before the fact. If this happens, that should
- happen. If _that_ doesn't happen, you have to revise your
- hypotheses about the controlled variable and try again, and keep
- trying until you predict correctly. Then and only then will you
- know what's going on. If you NEVER can make a right prediction,
- control theory is probably wrong.
-
- I think you should always apply control theory as if you're
- putting the theory itself on the line, and challenging nature to
- behave the wrong way. Mind the turtle; it makes progress by
- sticking its neck out.
- ----------------------------------------------------------------
- Tom Bourbon --
-
- You said it for me; here it is again:
-
- " .. may Boss Reality tread lightly on the controlled variables
- >of you and of those you love. Happy holidays."
- ================================================================
- Best to all,
-
- Bill P.
-