Buch, Englisch, 166 Seiten, Format (B × H): 210 mm x 279 mm, Gewicht: 455 g
Reihe: Computational Music Science
Buch, Englisch, 166 Seiten, Format (B × H): 210 mm x 279 mm, Gewicht: 455 g
Reihe: Computational Music Science
ISBN: 978-3-030-85192-7
Verlag: Springer International Publishing
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.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
- Interdisziplinäres Wissenschaften Wissenschaften Interdisziplinär Neurowissenschaften, Kognitionswissenschaft
- Geisteswissenschaften Sprachwissenschaft Sprachwissenschaften Semiotik
- Medizin | Veterinärmedizin Medizin | Public Health | Pharmazie | Zahnmedizin Klinische und Innere Medizin Neurologie, Klinische Neurowissenschaft
- Geisteswissenschaften Philosophie Semiotik
- Mathematik | Informatik EDV | Informatik Informatik Künstliche Intelligenz
- Sozialwissenschaften Pädagogik Lehrerausbildung, Unterricht & Didaktik Allgemeine Didaktik Kunst, Musik, Theater (Unterricht & Didaktik)
Weitere Infos & Material
Part I Orientation.- Part II General Concepts.- Part III Semantic Math.- Part IV Applications.- Part V Conclusions.- References.- Index.
