Functorial Semiotics for Creativity in Music and Mathematics (Computational Music Science) - Softcover

Buch 19 von 19: Computational Music Science

Mazzola, Guerino; Dey, Sangeeta; Chen, Zilu; Pang, Yan

 
9783030851927: Functorial Semiotics for Creativity in Music and Mathematics (Computational Music Science)
Softcover
ISBN 10: 3030851923 ISBN 13: 9783030851927
Verlag: Springer, 2023

Inhaltsangabe

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 Čech 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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Von der hinteren Coverseite

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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Verlag
Springer
Erscheinungsdatum
2023
Sprache
Englisch
ISBN 10 
3030851923
ISBN 13 
9783030851927
Einband
Tapa blanda
Auflage
1
Anzahl der Seiten
180
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
CMN Printpool Inh. Mathis Neumann
https://www.also.com/ec/cms5/en_6000/6000/index.jsp

Friedrich-Karl-Str. 9
Hamburg
Deutschland

Weitere beliebte Ausgaben desselben Titels

9783030851897: Functorial Semiotics for Creativity in Music and Mathematics (Computational Music Science)

Vorgestellte Ausgabe

ISBN 10:  3030851893 ISBN 13:  9783030851897
Verlag: Springer, 2022
Hardcover