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

Miho Fuyama*, Hayato Saigo, Tatsuji Takahashi

*この研究の対応する著者

研究成果: Article査読

1 被引用数 (Scopus)

抄録

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.

本文言語English
論文番号104213
ジャーナルBioSystems
197
DOI
出版ステータスPublished - 2020 11

ASJC Scopus subject areas

  • 統計学および確率
  • モデリングとシミュレーション
  • 生化学、遺伝学、分子生物学(全般)
  • 応用数学

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