2019年12月
Mathematics and the Brain: A Category Theoretical Approach to Go Beyond the Neural Correlates of Consciousness
ENTROPY
- ,
- ,
- 巻
- 21
- 号
- 12
- 開始ページ
- 1234
- 終了ページ
- 1234
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.3390/e21121234
- 出版者・発行元
- MDPI
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 different 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.
- リンク情報
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- DOI
- https://doi.org/10.3390/e21121234
- DBLP
- https://dblp.uni-trier.de/rec/journals/entropy/NorthoffTS19
- Web of Science
- https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000507375900101&DestApp=WOS_CPL
- Dblp Url
- https://dblp.uni-trier.de/db/journals/entropy/entropy21.html#NorthoffTS19
- ID情報
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- DOI : 10.3390/e21121234
- eISSN : 1099-4300
- DBLP ID : journals/entropy/NorthoffTS19
- Web of Science ID : WOS:000507375900101