A Categorical Model of General Consciousness.

A mathematical model defines consciousness using category theory, extracting transitivity as its essential characteristic. The model establishes three categorical layers: objects, materials as reflex units, and consciousness itself in a homomorphic relationship. This framework allows functional neurons or biomimetic AI components to be treated as variables, functions, or local solutions, enabling algebraic quantification of consciousness. The approach aims to integrate natural and artificial perspectives, potentially aiding in determining and evaluating consciousness across disciplines. Current consciousness and computation theories are analyzed to support the model.

Study at a glance

Abstract

Consciousness is liable to not be defined in scientific research, because it is an object of study in philosophy too, which actually hinders the integration of research on a large scale. The present study attempts to define consciousness with mathematical approaches by including the common meaning of consciousness across multiple disciplines. By extracting the essential characteristics of consciousness-transitivity-a categorical model of consciousness is established. This model is used to obtain three layers of categories, namely objects, materials as reflex units, and consciousness per se in homomorphism. The model forms a framework that functional neurons or AI (biomimetic) parts can be treated as variables, functions or local solutions of the model. Consequently, consciousness is quantified algebraically, which helps determining and evaluating consciousness with views that integrate nature and artifacts. Current consciousness theories and computation theories are analyzed to support the model.