Functorial Semiotics for Creativity in Music and Mathematics
Guerino Mazzola, Sangeeta Dey, Zilu Chen, Yan Pang

Informasi Umum

Kode

23.21.1387

Klasifikasi

510 - Mathematics

Jenis

Buku - Elektronik (E-Book)

Subjek

Mathematical, Semiotics,

No. Rak

10a

Dilihat

7 kali

Informasi Lainnya

Abstraksi

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 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.

Koleksi & Sirkulasi

Tersedia 1 dari total 1 Koleksi

Pengarang

Nama	Guerino Mazzola, Sangeeta Dey, Zilu Chen, Yan Pang
Jenis	Perorangan
Penyunting
Penerjemah

Penerbit

Nama	Springer Cham
Kota	New York
Tahun	2022

Sirkulasi

Harga sewa	IDR 0,00
Denda harian	IDR 0,00
Jenis	Non-Sirkulasi

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