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

  • Moreno Andreatta
  • Andrée Ehresmann
  • René Guitart
  • Guerino Mazzola
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7937)

Abstract

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.

Keywords

Creative Process Categorical Theory Full Subcategory Common Subspace Conceptual Blending 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Moreno Andreatta
    • 1
  • Andrée Ehresmann
    • 2
  • René Guitart
    • 3
  • Guerino Mazzola
    • 4
  1. 1.IRCAM/CNRS/UPMCFrance
  2. 2.Université de PicardieFrance
  3. 3.Université Paris 7 Denis DiderotFrance
  4. 4.School of MusicUniversity of MinnesotaUSA

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