Functorial Semiotics for Creativity in Music and Mathematics (1st ed. 2022) (Computational Music Science)

By: and and and

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Synopsis
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 Čech 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.
Copyright:
2022

Book Details

Book Quality:
Publisher Quality
ISBN-13:
9783030851903
Related ISBNs:
9783030851897
Publisher:
Springer International Publishing
Date of Addition:
Copyrighted By:
N/A
Adult content:
No
Language:
English
Has Image Descriptions:
No
Categories:
Nonfiction, Art and Architecture, Computers and Internet, Literature and Fiction, Education, Language Arts, Mathematics and Statistics, Medicine
Submitted By:
Bookshare Staff
Usage Restrictions:
This is a copyrighted book.

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