Functorial semiotics for creativity in music and mathematics / Guerino Mazzola, Sangeeta Dey, Zilu Chen, Yan Pang.
Mazzola, G. (Guerino), author.; Dey, Sangeeta, author.; Chen, Zilu, author.; Pang, Yan, author.
2022
ML3800
Available Online

Linked e-resources

Linked Resource Online Access
Concurrent users Unlimited
Authorized users Authorized users
Document Delivery Supplied Can lend chapters, not whole ebooks

Details

Title Functorial semiotics for creativity in music and mathematics / Guerino Mazzola, Sangeeta Dey, Zilu Chen, Yan Pang.
Author Mazzola, G. (Guerino), author.
ISBN 9783030851903 (electronic bk.)
3030851907 (electronic bk.)
9783030851897
3030851893
DOI https://doi.org/10.1007/978-3-030-85190-3
Published Cham, Switzerland : Springer, 2022.
Language English
Description 1 online resource (1 volume) : illustrations (black and white, and colour).
Other Standard Identifiers 10.1007/978-3-030-85190-3 doi
Call Number ML3800
Dewey Decimal Classification 780/.0519
Summary 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.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Source of Description Description based on print version record.
Added Author Dey, Sangeeta, author.
Chen, Zilu, author.
Pang, Yan, author.
Series Computational music science.
Available in Other Form Functorial semiotics for creativity in music and mathematics.
Linked Resources Online Access
Record Appears in Online Resources > Ebooks
All Resources
Part I Orientation
Part II General Concepts
Part III Semantic Math
Part IV Applications
Part V Conclusions
References
Index.

Browse Subjects

Show more subjects...

Statistics

from
to
Export