Towards functorial language-games

In categorical compositional semantics of natural language one studies functors from a category of grammatical derivations (such as a Lambek pregroup) to a semantic category (such as real vector spaces). We compositionally build game-theoretic semantics of sentences by taking the semantic category to be the category whose morphisms are open games. This requires some modifications to the grammar category to compensate for the failure of open games to form a compact closed category. We illustrate the theory using simple examples of Wittgenstein's language-games.

• Publication year

  2018

• Venue

  CAPNS@QI

• Publication date

  2018-07-20

• Fields of study

  Mathematics, Philosophy, Computer Science

• Identifiers
  DOI 10.4204/EPTCS.283.7arXiv 1807.07828
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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