Cognitive processes of the brain: An ultrametric model of information dynamics in unconsciousness

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• 作者：A. Yu. Khrennikov (1)
  
• 关键词：cognitive models ; p ; adic dynamical systems ; conscious and unconscious processing ; psychoanalysis ; attractors
• 刊名：P-Adic Numbers, Ultrametric Analysis, and Applications
• 出版年：2014
• 出版时间：October 2014
• 年：2014
• 卷：6
• 期：4
• 页码：293-302
• 全文大小：496 KB
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  14. B. Dragovich, A. Yu. Khrennikov, S. V. Kozyrev and I. V. Volovich, “On / p-adic mathematical physics,- / p-Adic Numbers Ultr. Anal. Appl. ass="a-plus-plus">1(1), 1-7 (2009). <a class="external" href="http://dx.doi.org/10.1134/S2070046609010014" target="_blank" title="It opens in new window">CrossRefa>
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• 作者单位：A. Yu. Khrennikov (1)
  
  1. International Center for Mathematical Modeling in Physics, Engineering, Economics and Cognitive Science, School of Computer Science, Physics and Mathematics Linnaeus University, V?xj?-Kalmar, Sweden
  
• ISSN：2070-0474

文摘

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