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Toward a synthesis of dynamical systems and classical computation

Published online by Cambridge University Press:  01 October 1998

Frank van der Velde
Affiliation:
Unit of Experimental and Theoretical Psychology, Leiden University, 2333 AK Leiden, The Netherlandsvdvelde@rulfsw.leidenuniv.nl www.fsw.leidenuniv.nl/~vdvelde/
Marc de Kamps
Affiliation:
Unit of Experimental and Theoretical Psychology, Leiden University, 2333 AK Leiden, The Netherlandsvdvelde@rulfsw.leidenuniv.nl www.fsw.leidenuniv.nl/~vdvelde/
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Abstract

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Cognitive agents are dynamical systems but not quantitative dynamical systems. Quantitative systems are forms of analogue computation, which is physically too unreliable as a basis for cognition. Instead, cognitive agents are dynamical systems that implement discrete forms of computation. Only such a synthesis of discrete computation and dynamical systems can provide the mathematical basis for modeling cognitive behavior.

Type
Open Peer Commentary
Copyright
© 1998 Cambridge University Press