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Functorial Semiotics for Creativity in Music and Mathematics - ZILU CHEN - SANGEETA DEY - GUE MAZZOLA

Functorial Semiotics for Creativity in Music and Mathematics

Publisher title : Functorial Semiotics for Creativity in Music and Mathematics

ZILU CHEN
SANGEETA DEY
GUE MAZZOLA

 
$176.23
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This book presents a new semiotic theory based upon category theory and applying to a classification of creativity in music and mathematics. It is the first functorial approach to mathematical semiotics that can be applied to AI implementations for creativity by using 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) - parametrizing semiotic units - enabling a Cech cohomology of manifolds of semiotic entities. It opens up a conceptual mathematics as initiated by Grothendieck and Galois and allows 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 reader 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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Price: $176.23
Category:
Author:  ZILU CHEN
SANGEETA DEY
GUE MAZZOLA
Title: Functorial Semiotics for Creativity in Music and Mathematics
Release date: April 2022
Editor: LIVRES NUMÉRIQUES DIVERS
Subject: NUL DIVERS
ISBN: 9783030851903 (3030851907)
Renaud-Bray Reference: 3686406
Item nb: 3686406
Digital rights
Format: PDF
Availability : Canada, other authorized countries.
Digital Rights Management : Adobe DRM
Numeric warehouse : NUMILOG
Number of authorized devices: 3
Number of copy-and-pastes: 0
Print: 0

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Functorial Semiotics for Creativity in Music and Mathematics , CHEN , ZILU*DEY , SANGEETA*MAZZOLA , GUE
© LIVRES NUMÉRIQUES DIVERS 2022
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