Mathematics of natural Intelligence
Keywords: prediction, probabilistic inference, behaviour, categorization, causal models
Abstract: In the process of evolution, the brain has achieved such perfection that artificial intelligence
systems do not have and which needs its own mathematics. The concept
of cognitome, introduced by the academician K.V. Anokhin, as the cognitive structure
of the mind – a high–order structure of the brain and a neural hypernetwork, is
considered as the basis for modeling. Consciousness then is a special form of dynamics
in this hypernetwork – a large-scale integration of its cognitive elements.
The cognitome, in turn, consists of interconnected COGs (cognitive groups of
neurons) of two types – functional systems and cellular ensembles. K.V. Anokhin
sees the task of the fundamental theory of the brain and mind in describing these
structures, their origin, functions and processes in them. The paper presents mathematical
models of these structures based on new mathematical results, as well as
models of different cognitive processes in terms of these models. In addition, it is
shown that these models can be derived based on a fairly general principle of the
brain works: the brain discovers all possible causal relationships in the external
world and draws all possible conclusions from them. Based on these results, the
paper presents models of: ”natural” classification; theory of functional brain systems
by P.K. Anokhin; prototypical theory of categorization by E. Roche; theory
of causal models by Bob Rehter; theory of consciousness as integrated information
by G. Tononi.
Submission Number: 1
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