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arXiv · 2501.04125

$G$-systems and 4E Cognitive Science

Vadim K. Weinstein
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Abstract

We introduce a class dynamical systems called $G$-systems equipped with a coupling operation. We use $G$-systems to define the notions of dependence (borrowed from dependence logic) and causality (borrowed from Pearl) for dynamical systems. As a converse to coupling we define decomposition or ``reducibility''. We give a characterization of reducibility in terms of the dependence "atom". We do all this with the motivation of developing mathematical foundations for 4E cognitive science, see introductory sections.

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Vadim K. Weinstein. 2025-01-07. $G$-systems and 4E Cognitive Science. https://arxiv.org/abs/2501.04125

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