Towards a categorical theory of creativity for music, discourse, and cognition

Moreno Andreatta, Andrée Ehresmann, René Guitart, Guerino Mazzola

Research output: Chapter in Book/Report/Conference proceedingConference contribution

11 Scopus citations

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.

Original languageEnglish (US)
Title of host publicationMathematics and Computation in Music - 4th International Conference, MCM 2013, Proceedings
Pages19-37
Number of pages19
DOIs
StatePublished - 2013
Event4th International Conference on Mathematics and Computation in Music, MCM 2013 - Montreal, QC, Canada
Duration: Jun 12 2013Jun 14 2013

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume7937 LNAI
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

Other4th International Conference on Mathematics and Computation in Music, MCM 2013
Country/TerritoryCanada
CityMontreal, QC
Period6/12/136/14/13

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