$G$-systems and 4E Cognitive Science
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866912179781894144 |
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| author | Weinstein, Vadim K. |
| author_facet | Weinstein, Vadim K. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_04125 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | $G$-systems and 4E Cognitive Science Weinstein, Vadim K. Logic 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. |
| title | $G$-systems and 4E Cognitive Science |
| topic | Logic |
| url | https://arxiv.org/abs/2501.04125 |