Mathematics and the brain: A category theoretical approach to go beyond the neural correlates of consciousness

Georg Northoff, Naotsugu Tsuchiya, Hayato Saigo

研究成果: 雜誌貢獻回顧型文獻同行評審

4 引文 斯高帕斯(Scopus)

摘要

Consciousness is a central issue in neuroscience, however, we still lack a formal framework that can address the nature of the relationship between consciousness and its physical substrates. In this review, we provide a novel mathematical framework of category theory (CT), in which we can define and study the sameness between dierent domains of phenomena such as consciousness and its neural substrates. CT was designed and developed to deal with the relationships between various domains of phenomena. We introduce three concepts of CT which include (i) category; (ii) inclusion functor and expansion functor; and, most importantly, (iii) natural transformation between the functors. Each of these mathematical concepts is related to specific features in the neural correlates of consciousness (NCC). In this novel framework, we will examine two of the major theories of consciousness, integrated information theory (IIT) of consciousness and temporospatial theory of consciousness (TTC). We conclude that CT, especially the application of the notion of natural transformation, highlights that we need to go beyond NCC and unravels questions that need to be addressed by any future neuroscientific theory of consciousness.

原文英語
文章編號1234
期刊Entropy
21
發行號12
DOIs
出版狀態已發佈 - 十二月 1 2019
對外發佈

ASJC Scopus subject areas

  • 物理與天文學 (全部)

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