Functorial Semiotics for Creativity in Music and Mathematics 2021 Edition Contributor(s): Mazzola, Guerino (Author), Dey, Sangeeta (Author), Chen, Zilu (Author) |
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ISBN: 3030851893 ISBN-13: 9783030851897 Publisher: Springer OUR PRICE: $123.49 Product Type: Hardcover Published: April 2022 |
Additional Information |
BISAC Categories: - Mathematics | Applied - Literary Criticism | Semiotics & Theory - Medical | Neuroscience |
Physical Information: 0.63" H x 8.19" W x 11.1" (1.35 lbs) 166 pages |
Descriptions, Reviews, Etc. |
Publisher Description: This book presents a new semiotic theory based upon category/topos theory, and applied to a classification (three types) of creativity in music and mathematics. The purpose is a first functorial approach to a mathematical semiotics that will be applied to AI implementations for creativity. It is the only semiotic approach to creativity in music and mathematics that uses topos theory and its applications to music theory.
The readers 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. |