Functorial Semiotics for Creativity in Music and Mathematics
(Sprache: Englisch)
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...
Voraussichtlich lieferbar in 3 Tag(en)
versandkostenfrei
Buch (Kartoniert)
131.99 €
- Lastschrift, Kreditkarte, Paypal, Rechnung
- Kostenlose Rücksendung
- Ratenzahlung möglich
Produktdetails
Produktinformationen zu „Functorial Semiotics for Creativity in Music and Mathematics “
Klappentext zu „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 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.
Inhaltsverzeichnis zu „Functorial Semiotics for Creativity in Music and Mathematics “
Part I Orientation.- Part II General Concepts.- Part III Semantic Math.- Part IV Applications.- Part V Conclusions.- References.- Index.Bibliographische Angaben
- Autoren: Guerino Mazzola , Sangeeta Dey , Zilu Chen , Yan Pang
- 2023, 1st ed. 2022, XIII, 166 Seiten, Maße: 21 x 27,9 cm, Kartoniert (TB), Englisch
- Verlag: Springer, Berlin
- ISBN-10: 3030851923
- ISBN-13: 9783030851927
Sprache:
Englisch
Kommentar zu "Functorial Semiotics for Creativity in Music and Mathematics"
Schreiben Sie einen Kommentar zu "Functorial Semiotics for Creativity in Music and Mathematics".
Kommentar verfassen