A category theoretic approach to metaphor comprehension: Theory of indeterminate natural transformation

Miho Fuyama, Hayato Saigo, Tatsuji Takahashi

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish
Article number104213
JournalBioSystems
Volume197
DOIs
Publication statusPublished - 2020 Nov

Keywords

  • Analogy
  • Category theory
  • Meaning
  • Metaphor
  • Morphism

ASJC Scopus subject areas

  • Statistics and Probability
  • Modelling and Simulation
  • Biochemistry, Genetics and Molecular Biology(all)
  • Applied Mathematics

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