Mathematical Approaches to Cognitive Linguistics

Chuluundorj Begz

Abstract


Cognitive linguistics, neuro-cognitive and psychological analysis of human verbal cognition present important area of multidisciplinary research. Mathematical methods and models have been introduced in number of publications with increasing attention to these theories. In this paper we have described some possible applications of mathematical methods to cognitive linguistics. Human verbal perception and verbal mapping deal with dissipative mental structures and symmetric/asymmetric relationships between objects of perception and deep (also surface) structures of language. In that’s way methods of tensor analysis are ambitious candidate to be applied to analysis of human verbal thinking and mental space.

 


Keywords


Mental mapping, verbal cognition, continuum hypothesis, Hilbert space, tensor transformations, vector space model, human mental lexicon, representational granularity, embodied and symbolic cognition, mental models.

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DOI: http://dx.doi.org/10.7575/aiac.ijalel.v.2n.4p.192

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