# A Categorical Model of General Consciousness

## TL;DR

This paper proposes a mathematical model of consciousness that integrates concepts from multiple disciplines to define and quantify it algebraically.

## Contribution

The novelty lies in using transitivity to define consciousness and formulating a categorical model that integrates natural and artificial systems.

## Key findings

- A categorical model of consciousness is built using transitivity as a core characteristic.
- The model identifies three layers: objects, materials as reflex units, and consciousness in homomorphism.
- The framework allows functional neurons or AI components to be treated as variables or functions in the model.

## 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.