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迈向心智空间的适当数学模型:m 进树上的意识/无意识动力学

Toward an adequate mathematical model of mental space: conscious/unconscious dynamics on m-adic trees.

作者信息

Khrennikov Andrei Yu

机构信息

Center for Mathematical Modeling in Physics and Cognitive Sciences, University of Växjö, S-35195 Vaxjo, Sweden.

出版信息

Biosystems. 2007 Nov-Dec;90(3):656-75. doi: 10.1016/j.biosystems.2007.02.004. Epub 2007 Feb 17.

DOI:10.1016/j.biosystems.2007.02.004
PMID:17400367
Abstract

We try to perform geometrization of cognitive science and psychology by representing information states of cognitive systems by points of 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 a 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.

摘要

我们试图通过用由层次化m进制树给出的心理空间中的点来表示认知系统的信息状态,从而实现认知科学和心理学的几何化。关联由球体表示,观念由球体集合表示。我们基于心理点的动力学提升来考虑观念的动力学。我们将我们的动力学模型应用于对人类大脑中无意识和有意识信息流的建模。在一系列模型(模型1 - 3)中,我们考虑随着由关联流和观念流的结构所决定的心理行为复杂性不断增加的认知系统。

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