New mathematics for consciousness Full article
| Journal |
Journal of Mathematical Sciences (United States)
ISSN: 1072-3374 , E-ISSN: 1573-8795 |
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| Output data | Year: 2025, Volume: 295, Number: 1, Pages: 99-117 Pages count : 19 DOI: 10.1007/s10958-025-08151-y | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0011 |
Abstract:
We present mathematical models of fundamental cognitive structures of the brain — the cognitome, its constituent functional systems, and cellular ensembles — in line with the theoretical framework of K.V. Anokhin. Within this approach, we formulate models of various cognitive processes. We show that these models can be derived from a single general principle due to Helmholtz. Based on the obtained results, we develop formal models for several major theories, including a natural classification system; E. Rosch’s prototype theory of categorization, B. Rehder’s theory of causal models, G. Tononi’s integrated information theory of consciousness, and P. K. Anokhin’s theory of functional systems.
Cite:
Vityaev E.
New mathematics for consciousness
Journal of Mathematical Sciences (United States). 2025. V.295. N1. P.99-117. DOI: 10.1007/s10958-025-08151-y Scopus OpenAlex
New mathematics for consciousness
Journal of Mathematical Sciences (United States). 2025. V.295. N1. P.99-117. DOI: 10.1007/s10958-025-08151-y Scopus OpenAlex
Dates:
| Submitted: | May 9, 2025 |
| Accepted: | May 22, 2025 |
| Published print: | Jan 9, 2026 |
| Published online: | Jan 9, 2026 |
Identifiers:
| ≡ Scopus: | 2-s2.0-105027071096 |
| ≡ OpenAlex: | W7119490833 |