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- Date: Tue, 29 Dec 1992 22:20:24 -0700
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- From: "William T. Powers" <POWERS_W%FLC@VAXF.COLORADO.EDU>
- Subject: Misc catching up
- Lines: 177
-
- [From Bill Powers (921229.2100)}
-
- Eileen Prince (921229) --
-
- I've just had a visit with some relatives who are into
- "spiritual" pursuits, a la New Age stuff. I opened a couple of
- the books they brought along. One was a guide to miracles,
- written in pseudo King James English; the other was Jaguar Woman,
- which seems to be about some magic worker or seer. I can't tell
- you what they were really about because I didn't read more than a
- paragraph or two from each, opened at random. I've seen that sort
- of thing before, however, in the same circumstances, and have
- been left speechless just as I was this time. What do you say to
- someone who has adopted such system concepts? How can you have
- any sort of substantive conversation when that is lurking in the
- background?
-
- The greatest mystery of the human mind, in my view, is this
- phenomenon of Belief. Nazis are easy to deal with, because their
- beliefs are threatening to our physical safety and we can flatly
- reject them. But what about other belief systems, invented and
- accepted apparently at random? Is the human mind just naturally
- susceptible to any belief that comes around, no matter how
- childish and full of holes? Is there something about our highest
- levels of organization that demands some belief, any belief, to
- fill the vacuum?
-
- It seems to me that before we can have anything approaching
- sanity on our planet, we must begin to understand how belief
- systems get formed and how to keep them from overpowering people
- -- how to leave a little freedom of belief, so that knowledge
- about the WHOLE world of experience can play a part in forming
- belief systems. I haven't the slightest idea of how to do that,
- except by continuing to point out that different people believe
- different things, a fact that ought to give anyone pause who is
- convinced that his/her own belief system is the only right one.
-
- Or is this a level at which we are all helpless, including me?
-
- I second Tom Bourbon's encouragement for your writing an article
- for Cosmopolitan.
- -------------------------------------------------------------
- Tom Bourbon (921228.1550 CST)--
-
- RE: apology.
-
- I've said worse to people when I've been mad. A friend is someone
- you can call a stupid sunuvabitch without fearing that it's
- goodbye forever. Say what you think; we're all grown up around
- here.
- -------------------------------------------------------------
- Oded Maler (921229) --
-
- >I agree and even more, only a small fraction of it will be
- >relevant to anything... but which fraction? [of the abitrary
- system will pertain to real system]
- That's why we need the experimental approach, too. The weak point
- of any abstract system is its premises, the things it assumes
- about nature for the convenience of the argument, but which may
- be false to fact. Pure mathematics doesn't have this problem,
- although Godel rather spoiled the purity of the game. I interpret
- his theorem to mean that all axiomatic systems, if they are not
- to be vacuous, have to reside on outside support.
-
- >Each community has its own system of rewards and
- >encouragements, whether it is the church of established Science
- >or the cult of enlightened PCTers.
-
- I don't like that comment. What's wrong with established Science
- is the establishment part, not the science part. I think we PCT
- types go farther than most in sticking to the science and
- avoiding becoming an establishment. It's only people who don't
- ever do any experiments with real people who think that PCT is
- just another belief system handed down from on high. The basis of
- PCT is a set of easily reproducible phenomena that conventional
- science has overlooked. To show that PCT doesn't follow from
- these phenomena, you'd have to upset everything the physical
- sciences have developed over the last 350 years or so. I don't
- think that a system with such a strong base in phenomena deserves
- the term "cult."
-
- >About Sacks's book. I still recommend it (it is very easily
- >read, especially for native English speakers). It has some
- >cases of people who lost proprioperception and compenstated it
- >thru visual feed-back loops, etc.
-
- I've read that book, and others like it. It's another example of
- the medical grab-bag of unassimilated facts. Interesting gee-whiz
- facts, but what do they add up to? That whole field rests on
- informal subjective characterizations of behavior without any
- model to bring the facts into order. Until someone takes a model-
- based approach to characterizing what is wrong with people who
- have these difficulties, all we will get is more books like this
- with more lists of unexplainable deficits.
-
- I fully understand your problem with making a living. That does
- get in the way. But there are always evenings and weekends, and
- my God man, you're only 36!
-
- >Your main problems, I think, will be to define the environment,
- >(Boss reality, CEV etc.). The type of results these people
- >usually have is of the form "given an environment obeying such
- >and such restrictions (including stochastic ones), a controller
- >defined like this and that will achieve performance such and
- >such (e.g., mean error smaller than something). " Apparently
- >you might want to prove some properties of your infamous
- >hierarchical servo-loops aka HPCT, but what kind of properties
- >exactly? Does the fact they they model living systems play some
- >role? I think a first step in any direction is to state exactly
- >what is your current dissatisfaction with the mathematical >state-of-the-art
- of PCT. And please do it very slowly in small
- >pieces, because I'm a very atypical pseudo-mathematicians.
-
- When you recognize that the environment exists for a given person
- only in the form of perceptions of it (through largely unknown
- transforms at that), the problem becomes a little different. The
- engineer takes the environment for granted: the variables he
- perceives in it are Out There. The problem from the PCT
- standpoint is not to achieve a particular result in the
- environment, like perfectly browned toast, but to achieve a
- particular perception that is a function of the environment but
- not the same function for everyone -- like the shade of toast
- that is deemed perfect. And it is to explain how such results can
- be reproduced over and over even though different actions are
- used each time.
-
- I would like to know the mathematics behind perceiving forms and
- shapes, which I call configurations and think I can see in many
- sensory modalities, not just vision. The question is, how do you
- get a signal that says "cube" when the object in question is
- rotating and changing size and position? And how do you get a
- signal that varies in magnitude as the presented shape begins to
- depart from being a cube? The nearest I can get is "orthogonal
- trajectories" as I mentioned in a recent post. But the kinds of
- invariance we need sound more as if they require tensor algebra,
- a subject that I know discouragingly little about, or
- differential geometry, or some such beast. What kind of computing
- network could extract such invariances? I don't think that
- perceptrons have taken us very far toward an answer.
-
- And that's only level 3 in my scheme. I think we're in the
- position of early physics, where we can identify a lot more
- phenomena, naturalistically, than our mathematical tools can
- handle.
-
- PCT does define the environment -- but it defines it as a set of
- perceptions. Engineers usually assume that things like intensity,
- color, form, relationship, sequence, and so on are properties of
- the outside world. In HPCT we are attempting to explain, by
- modeling, why the world appears that way to human beings -- and
- at the same time, to point out that these things are human
- perceptions. Physics does not explain why the world appears to us
- in these categories. In fact, the world that physicists seem to
- have uncovered has very little to do with such things.
-
- I would like to know if there is any way, even in principle, to
- establish a firm connection between the experienced world and the
- world that exists independently of experience. That might be the
- kind of problem a mathematician would enjoy -- unless Godel gets
- in the way.
-
- I suspect that Godel will get in the way. But even knowing that
- the world an individual perceives has no unique relationships to
- whatever lies outside would be important.
- ------------------------------------------------------------- Rick Marken
- (921229) --
-
- Your experiment with conflict is fundamental and new to our
- repertoire. It is neat and beautiful. The fact that the model
- reproduces the human behavior says that the real control systems
- don't reorganize much until the task starts to become impossible.
-
- Can you give us some numbers from the experiment?
- -------------------------------------------------------------
- Best to all,
-
- Bill P.
-