TY - JOUR

T1 - A category theoretic approach to metaphor comprehension

T2 - Theory of indeterminate natural transformation

AU - Fuyama, Miho

AU - Saigo, Hayato

AU - Takahashi, Tatsuji

N1 - Funding Information:
The authors would like to thank Shohei Hidaka and Shunsuke Ikeda for helpful discussions. This work was partially supported by JSPS KAKENHI Grant Number 17H04696 .
Publisher Copyright:
© 2020 Elsevier B.V.

PY - 2020/11

Y1 - 2020/11

N2 - We propose the theory of indeterminate natural transformation (TINT) to investigate the dynamical creation of meaning as an association relationship between images, focusing on metaphor comprehension as an example. TINT models meaning creation as a type of stochastic process based on mathematical structure and defined by association relationships, such as morphisms in category theory, to represent the indeterminate nature of structure–structure interactions between the systems of image meanings. Such interactions are formulated in terms of the so-called coslice categories and functors as structure-preserving correspondences between them. The relationship between such functors is “indeterminate natural transformation,” the central notion in TINT, which models the creation of meanings in a precise manner. For instance, metaphor comprehension is modeled by the construction of indeterminate natural transformations from a canonically defined functor, which we call the base-of-metaphor functor.

AB - We propose the theory of indeterminate natural transformation (TINT) to investigate the dynamical creation of meaning as an association relationship between images, focusing on metaphor comprehension as an example. TINT models meaning creation as a type of stochastic process based on mathematical structure and defined by association relationships, such as morphisms in category theory, to represent the indeterminate nature of structure–structure interactions between the systems of image meanings. Such interactions are formulated in terms of the so-called coslice categories and functors as structure-preserving correspondences between them. The relationship between such functors is “indeterminate natural transformation,” the central notion in TINT, which models the creation of meanings in a precise manner. For instance, metaphor comprehension is modeled by the construction of indeterminate natural transformations from a canonically defined functor, which we call the base-of-metaphor functor.

KW - Analogy

KW - Category theory

KW - Meaning

KW - Metaphor

KW - Morphism

UR - http://www.scopus.com/inward/record.url?scp=85089083384&partnerID=8YFLogxK

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U2 - 10.1016/j.biosystems.2020.104213

DO - 10.1016/j.biosystems.2020.104213

M3 - Article

C2 - 32712313

AN - SCOPUS:85089083384

SN - 0303-2647

VL - 197

JO - Currents in modern biology

JF - Currents in modern biology

M1 - 104213

ER -