Mathematical Models of Creativity

Guerino Mazzola; René Guitart; Jocelyn Ho; Alex Lubet; Maria Mannone; Matt Rahaim; Florian Thalmann

doi:10.1007/978-3-319-64481-3_12

Mathematical Models of Creativity

Guerino Mazzola, René Guitart, Jocelyn Ho, Alex Lubet, Maria Mannone, Matt Rahaim, Florian Thalmann

Music (Twin Cities)

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

We claim that category theory is a mathematical theory, proceeding from the observation of mathematical activities and gestures, and constructing a mathematical theory as a kind of algebra of these gestures. Especially, categoricians observe their own activity, and so category theory is also constructing a mathematical theory of itself, of its own system of gestures. We imagine that this theory can be used to model any activity, by a parallel action with the categorical activity. This categorical modeling is what we need for a mathematical holding of mathematical creativity because every activity is in fact somehow an activity of modeling.

Original language	English (US)
Title of host publication	Computational Music Science
Publisher	Springer Nature
Pages	1001-1082
Number of pages	82
DOIs	https://doi.org/10.1007/978-3-319-64481-3_12
State	Published - 2017

Publication series

Name	Computational Music Science
ISSN (Print)	1868-0305
ISSN (Electronic)	1868-0313

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© 2017, Springer International Publishing AG, part of Springer Nature.

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AU - Ho, Jocelyn

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AU - Mannone, Maria

AU - Rahaim, Matt

AU - Thalmann, Florian

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Mathematical Models of Creativity

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