Für statistische Zwecke und um bestmögliche Funktionalität zu bieten, speichert diese Website Cookies auf Ihrem Gerät. Das Speichern von Cookies kann in den Browser-Einstellungen deaktiviert werden. Wenn Sie die Website weiter nutzen, stimmen Sie der Verwendung von Cookies zu.
Cookie akzeptierenGuerino Mazzola / Sangeeta Dey / Zilu Chen / Yan Pang
Functorial Semiotics for Creativity in Music and Mathematics
- Springer-Verlag GmbH
- 2022
- Gebunden
- ISBN 9783030851897
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 ¿ech 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
Mehr
Weniger
zzgl. Versand
Auf Lager