Functorial Semiotics for Creativity in Music and Mathematics
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 an…
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Produktdetails
Weitere Autoren: Dey, Sangeeta / Chen, Zilu / Pang, Yan
- ISBN: 978-3-030-85189-7
- EAN: 9783030851897
- Produktnummer: 37790405
- Verlag: Springer-Verlag GmbH
- Sprache: Englisch
- Erscheinungsjahr: 2022
- Seitenangabe: 166 S.
- Masse: H28.5 cm x B21.5 cm x D1.5 cm 708 g
- Auflage: 2021
- Abbildungen: Book; 70 schwarz-weiße und 30 farbige Abbildungen, Bibliographie
- Gewicht: 708
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