Реферат: 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.

Библиографическая ссылка: 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

Даты:

Поступила в редакцию:	9 мая 2025 г.
Принята к публикации:	22 мая 2025 г.
Опубликована в печати:	9 янв. 2026 г.
Опубликована online:	9 янв. 2026 г.

Идентификаторы БД:

≡ Scopus:	2-s2.0-105027071096
≡ OpenAlex:	W7119490833

Альметрики: