Mind Science

   

A Topological Brain Elucidates Syntactic and Semantic Processing

Authors: Arturo Tozzi, James F Peters

When facing a proposition, the brain straightforwardly understands its grammar and discriminates whether it is true or false. Unlike computers, the brain is able to identify signs of sequences in terms of both syntactic symbols and semantic meaning. We show, based on the current literature, that a testable algebraic topological approach gives helpful insights into brain’s computational activity during semantic recognition. Indeed, recent suggestions allow us to hypothesize that the semantic properties of a proposition are processed in brain dimensions higher than the syntactic ones. Furthermore, we show how, in a fully reversible process, the syntactic elements embedded in Broca’s area might project to scattered semantic cortical zones, where the presence of higher functional dimensions gives rise to an increase in proposition’s information content. Taking into account the dictates of novel versions of the Borsuk-Ulam and the fixed-point theorems, we build a framework that provides a feasible explanation for semantics processing in the brain, and also paves the way to novel computers which nodes are built in higher dimensions.

Comments: 8 Pages.

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Submission history

[v1] 2016-09-08 13:57:46

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