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Functorial Semiotics for Creativity in Music and Mathematics

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SKU: 35179097

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This book presents a new semiotic theory based upon category/topos theory, and applied to a classification (three types) of creativity in music and mathematics. The purpose is a first functorial approach to a mathematical semiotics that will be applied to AI implementations for creativity. It is the only semiotic approach to creativity in music and mathematics that uses topos theory and its applications to music theory.
Of particular interest is the generalized Yoneda embedding in the bidual of the category of categories (Lawvere) parametrizes semiotic units and enables a Cech cohomology of manifolds of semiotic entities. It opens up a conceptual mathematics as initiated by Grothendieck and Galois. It enables a precise description of musical and mathematical creativity, including a classification thereof in three types. This approach is new, as it connects topos theory, semiotics, creativity theory, and AI objectives for a missing link to HI (Human Intelligence).

The readers can apply creativity research using our classification, cohomology theory, generalized Yoneda embedding, and Java implementation of the presented functorial display of semiotics, especially generalizing the Hjelmslev architecture. The intended audience are academic, industrial, and artistic researchers in creativity.

 

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Specification: Functorial Semiotics for Creativity in Music and Mathematics

Release date NZ

December 22nd, 2021

Author

Guerino Mazzola Sangeeta Dey Zilu Chen Yan Pang

Series

Computational Music Science

Pages

166

Edition

1st ed. 2021

Audience

Professional & Vocational

Illustrations

30 Illustrations, color, 70 Illustrations, black and white, XIV, 166 p. 100 illus., 30 illus. in color.

Country of Publication

Switzerland

Imprint

Springer Nature Switzerland AG

Dimensions

165x220x25

ISBN-13

9783030851897

Product ID

35179097

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Functorial Semiotics for Creativity in Music and Mathematics
Functorial Semiotics for Creativity in Music and Mathematics

$166.57

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