Toward an adequate mathematical model of mental space: conscious/unconscious dynamics on $m$-adic trees
| dc.creator | Khrennikov, Andrei | |
| dc.date | 2006-10-05 | |
| dc.date | 2007-02-01 | |
| dc.date.accessioned | 2026-07-07T07:44:07Z | |
| dc.date.available | 2026-07-07T07:44:07Z | |
| dc.description | We try to perform geometrization of cognitive science and psychology by representing information states of cognitive systems by points of {\it mental space} given by a hierarchic $m$-adic tree. Associations are represented by balls and ideas by collections of balls. We consider dynamics of ideas based on lifting of dynamics of mental points. We apply our dynamical model for modeling of flows of unconscious and conscious information in the human brain. In series of models, Models 1-3, we consider cognitive systems with increasing complexity of psychological behavior determined by structure of flows of associations and ideas. | |
| dc.description | Consequences for neurophysiology, neuroinformatics, and cognitive sciences as well as for psychology and neuropsychology, and even medicine and psychiatry are presented in sections 11--13; possibilities to apply our model for the project on artificial life will be considered in section 14 (``psychological robots'') | |
| dc.identifier | https://arxiv.org/abs/q-bio/0610013 | |
| dc.identifier | http://arxiv.org/abs/q-bio/0610013 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/123079 | |
| dc.subject | Neurons and Cognition | |
| dc.title | Toward an adequate mathematical model of mental space: conscious/unconscious dynamics on $m$-adic trees | |
| dc.type | text |