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Cognitive processes of the brain: An ultrametric model of information dynamics in unconsciousness
Linnaeus University, Faculty of Technology, Department of Mathematics.ORCID iD: 0000-0002-9857-0938
2014 (English)In: P-Adic Numbers, Ultrametric Analysis, and Applications, ISSN 2070-0466, E-ISSN 2070-0474, Vol. 6, no 4, p. 293-302Article in journal (Refereed) Published
Abstract [en]

We discuss differences in mathematical representations of the physical and mentalworlds. Following Aristotle, we present the mental space as discrete, hierarchic, and totally disconnectedtopological space. One of the basic models of such spaces is given by ultrametricspaces and more specially by m-adic trees. We use dynamical systems in such spaces to modelflows of unconscious information at different level of mental representation hierarchy, for “mentalpoints”, categories, and ideas. Our model can be interpreted as an unconventional computationalmodel: non-algorithmic hierarchic “computations” (identified with the process of thinking at theunconscious level).

Place, publisher, year, edition, pages
Springer, 2014. Vol. 6, no 4, p. 293-302
Keywords [en]
cognitive models, p-adic dynamical systems, conscious and unconscious processing, psychoanalysis, attractors
National Category
Natural Sciences Algebra and Logic
Identifiers
URN: urn:nbn:se:lnu:diva-42195DOI: 10.1134/S2070046614040049Scopus ID: 2-s2.0-84937697915OAI: oai:DiVA.org:lnu-42195DiVA, id: diva2:802514
Available from: 2015-04-13 Created: 2015-04-13 Last updated: 2017-12-04Bibliographically approved

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Khrennikov, Andrei

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