Téléchargez le livre : Functorial Semiotics for Creativity in Music and Mathematics

Functorial Semiotics for Creativity in Music and Mathematics



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Éditeur :

Springer


Collection :

Computational Music Science

Paru le : 2022-04-23



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Description

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.
Pages
166 pages
Collection
Computational Music Science
Parution
2022-04-23
Marque
Springer
EAN papier
9783030851897
EAN PDF
9783030851903
Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
16
Taille du fichier
7188 Ko
Ce livre est accessible aux handicaps Voir les informations sur l'accessibilité
Prix
116,04 €

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