Research on Creative Thinking Mode Based on Category Theory

TL;DR

This paper develops a theoretical model of creative thinking using category theory, analyzing historical scientific theories to provide a rigorous mathematical framework that enhances understanding of innovative thought processes.

Contribution

It introduces a novel mathematical model of creative thinking based on category theory, offering a new perspective on the creation process of scientific theories.

Findings

Provides an intuitive and rigorous mathematical interpretation of creative thinking.

Analyzes the creation process of landmark scientific theories.

Offers insights into structured thinking modes for scientific innovation.

Abstract

The research on the brain mechanism of creativity mainly has two aspects, one is the creative thinking process, and the other is the brain structure and functional connection characteristics of highly creative people. The billions of nerve cells in the brain connect and interact with each other. The hundreds of millions of nerve cells in the brain connect and interact with each other. The human brain has a high degree of complexity at the biological level, especially the rational thinking ability of the human brain. Starting from the connection of molecules, cells, neural networks and the neural function structure of the brain, it may be fundamentally impossible to study the rational thinking mode of human beings. Human's rational thinking mode has a high degree of freedom and transcendence, and such problems cannot be expected to be studied by elaborating the realization of the nervous system. The rational thinking of the brain is mainly based on the structured thinking mode, and the structured thinking mode shows the great scientific power. This paper studies the theoretical model of innovative thinking based on of category theory, and analyzes the creation process of two scientific theories which are landmarks in the history of science, and provides an intuitive, clear interpretation model and rigorous mathematical argument for the creative thinking. The structured thinking way have great revelation and help to create new scientific theories.