Unified Formalization of «Natural» Classification, «Natural» Concepts, and Consciousness as Integrated Information by Giulio Tononi1

The paper shows that the basis for the construction of “natural” classifications, “natural” concepts and integrated information is the same property of the objects of the external world - the high correlation of attributes describing the objects of “natural” classes. The hypothesis that the information processes of the brain and mind tuned in the course of evolution to extract highly correlated structure attributes of “natural” objects by forming “natural” concepts of the objects was suggested. This hypothesis is justified by references to a number of famous works. Besides, the original mathematical model is proposed, which formalizes the “natural” classifications, “natural” concepts and the integrated information by G. Tononi, based on a mathematical representation of the system, closed upon itself by causal relationships that form a certain “resonance” of mutual predictions of highly correlated set of attributes of objects of “natural” classes. The results of computer modeling of building “natural” classes and concepts for coded digits are introduced.