Attractor Spaces as Modules: A Semi-Eliminative Reduction of Symbolic AI to Dynamic Systems Theory

Author: Rockwell, Teed1

Source: Minds and Machines, Volume 15, Number 1, February 2005 , pp. 23-55(33)

Publisher: Springer

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Abstract:

I propose a semi-eliminative reduction of Fodor’s concept of module to the concept of attractor basin which is used in Cognitive Dynamic Systems Theory (DST). I show how attractor basins perform the same explanatory function as modules in several DST based research program. Attractor basins in some organic dynamic systems have even been able to perform cognitive functions which are equivalent to the If/Then/Else loop in the computer language LISP. I suggest directions for future research programs which could find similar equivalencies between organic dynamic systems and other cognitive functions. This type of research could help us discover how (and/or if) it is possible to use Dynamic Systems Theory to more accurately model the cognitive functions that are now being modeled by subroutines in Symbolic AI computer models. If such a reduction of subroutines to basins of attraction is possible, it could free AI from the limitations that prompted Fodor to say that it was impossible to model certain higher level cognitive functions.

Keywords: animal locomotion; attractor spaces; bifurcations; Central Pattern Generator; collective variable; connectionism; distributed processing; Dynamic Systems Theory; Fodor; GOFAI; invariant sets; Kelso; Mezernich and Kaas; modularity; orbit; Port; symbolic systems hypothesis; Thelen and Smith; Van Gelder; Walter Freeman

Document Type: Research article

DOI: 10.1007/s11023-004-1344-7

Affiliations: 1: Teed Rockwell, 2419A Tenth Street, 94710, CA, Berkeley, USA, Email: mcmf@california.com

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