Towards a Categorical Theory of Creativity for Music, Discourse, and Cognition

  title={Towards a Categorical Theory of Creativity for Music, Discourse, and Cognition},
  author={Moreno Andreatta and Andr{\'e}e C. Ehresmann and Ren{\'e} Guitart and Guerino Mazzola},
This article presents a first attempt at establishing a category-theoretical model of creative processes. The model, which is applied to musical creativity, discourse theory, and cognition, suggests the relevance of the notion of “colimit” as a unifying construction in the three domains as well as the central role played by the Yoneda Lemma in the categorical formalization of creative processes. 
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