Abstract

The mind-body relationship has vexed philosophers of mind for quite a long time. Different theories of mind have offered different points of view about the interaction between the two, but none of them seem free of ambiguities and questions. This paper attempts to use a mathematical model for mind-body relationship. The model may generate some questions to think about this relationship from the viewpoint of operator theory.

Highlights

  • This paper argues for possibility of a mathematical model of operator theory of mind-body relationship as a unified theory of mind

  • I would like to argue in favor of a mathematical model of a functional operator between mental states and brain states

  • Discuss eliminative materialism and why this theory failed to explicate bidirectional correspondence of mindbody interaction. As alternative to this view, I propose a mathematical model of mind-brain function space and operators in the space

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Summary

A Unified Theory of Mind-Brain Relationship

The mind-body relationship has vexed philosophers of mind for quite a long time. Different theories of mind have offered different points of view about the interaction between the two, but none of them seem free of ambiguities and questions. This paper attempts to use a mathematical model for mind-body relationship. The model may generate some questions to think about this relationship from the viewpoint of operator theory

Introduction
A Mathematical Function

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