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Apr 23, 2001, 7:53:43 PM4/23/01

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I find the discussion on Dimension Theory interesting, But I have been

wondering on the applicability of all this Dimension Theory talk.

wondering on the applicability of all this Dimension Theory talk.

And I think I may have an application of possible interest. First

establishing a valid model of life intelligence by creating a

mathematical input/output synthesizer/generator. Then plotting this

mathematical mind's course in response to different types of covering

dimensions, normal dimensions, finite, open, inductive, paracompact,

pseudo metrizable and so on.

Tweaking the input/output synthesizer/generator and its response to

different dimensional coverings could give people insight to possible

future development of intellectual pursuits, or not so possible future

pursuits.

Zim Olson

Apr 25, 2001, 7:33:21 AM4/25/01

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Zim Olson <zimo...@earthlink.net>

[sci.math 23 Apr 01 19:44:02 -0400 (EDT)]

<http://forum.swarthmore.edu/epigone/sci.math/paxflorthan>

[sci.math 23 Apr 01 19:44:02 -0400 (EDT)]

<http://forum.swarthmore.edu/epigone/sci.math/paxflorthan>

wrote

I'm surprised you haven't mentioned Kurt Lewin's work yet. He's

fairly well known in psychology, although his book on topological

psychology wasn't received very well.

Kurt Lewin, PRINCIPLES OF TOPOLOGICAL PSYCHOLOGY, 1936 (reprinted

by McGraw-Hill in 1966), 231 pages.

Rebecca Adams, "Kurt Lewin’s application of topology to

psychology", Proceedings of the Canadian Society for the

History and Philosophy of Mathematics 11 (1998), 69-76.

You might find it useful to do a search using the key words

topology psychology Lewin

at <http://www.google.com/>. Here's a sample of what I found:

Barry Smith, "Topological Foundations of Cognitive Science".

A 15 page essay that is a revised version of the introductory essay

in C. Eschenbach, C. Habel and B. Smith (eds.), TOPOLOGICAL

FOUNDATIONS OF COGNITIVE SCIENCE, Hamburg, Graduiertenkolleg

Kognitionswissenschaft, 1994.

<http://wings.buffalo.edu/philosophy/faculty/smith/articles/topo.html>

See "Topology and Vectors: Lewin's Field Theory" in Chapter 4 of

Christian Balkenius, NATURAL INTELLIGENCE IN ARTIFICIAL CREATURES",

Lund University Cognitive Studies 37, 1995.

<http://www.lucs.lu.se/People/Christian.Balkenius/Thesis/Chapter04.html>

MAT 1933: Honors Freshman Seminar in Mathematics: “Topology and

Psychology” [An Honors College course at Florida Atlantic University]

<http://www.fau.edu/divdept/honcol/catalog_science.html>

'topological psychology' entry from Arthur S. Reber's "The Penguin

Dictionary of Psychology", 1995

<http://www.xrefer.com/entry/157352>

Dave L. Renfro

Apr 26, 2001, 10:59:43 PM4/26/01

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wrote

topology psychology Lewin

Dave L. Renfro

-------------------------------------------------

Zim here: Topology or Normal Spaces as in "Time and Space" are used to

explore more things than should be allowed. I was wanting to see how

mind models as represented by mathematical input/out

synthesizer/generators would respond to other types of spaces; As

suggeseted in Pears "Dimension Theory and General Spaces", etc.

Thanks for references, I will look into them later when I have time. I

will take any help I can get.

Zim Olson

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