Research Catalog
Functorial semiotics for creativity in music and mathematics
- Title
- Functorial semiotics for creativity in music and mathematics / Guerino Mazzola, Sangeeta Dey, Zilu Chen, Yan Pang.
- Author
- Mazzola, G. (Guerino)
- Publication
- Cham, Switzerland : Springer, [2022]
- Supplementary Content
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| Status | Format | Access | Call Number | Item Location |
|---|---|---|---|---|
Available - Can be used on site. Please visit New York Public Library - Performing Arts Research Collections to submit a request in person. | Text | Use in library | JMF 23-137 | Performing Arts Research Collections - Music |
Details
- Additional Authors
- Description
- xiii, 166 pages : illustrations (some color); 29 cm.
- 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.
- Series Statement
- Computational music science
- Uniform Title
- Computational music science.
- Subject
- Bibliography (note)
- Includes bibliographical references (pages 159-161) and index.
- Contents
- Part I Orientation -- Part II General Concepts -- Part III Semantic Math -- Part IV Applications -- Part V Conclusions -- References -- Index.
- Call Number
- JMF 23-137
- ISBN
- 9783030851897
- 3030851893
- 9783030851903 (canceled/invalid)
- OCLC
- 1260664415
- Author
- Mazzola, G. (Guerino), author.
- Title
- Functorial semiotics for creativity in music and mathematics / Guerino Mazzola, Sangeeta Dey, Zilu Chen, Yan Pang.
- Publisher
- Cham, Switzerland : Springer, [2022]
- Type of Content
- text
- Type of Medium
- unmediated
- Type of Carrier
- volume
- Series
- Computational music scienceComputational music science.
- Bibliography
- Includes bibliographical references (pages 159-161) and index.
- Connect to:
- Added Author
- Dey, Sangeeta, author.Chen, Cheng, jin shi 1394, author.Pang, Yan, author.
- Research Call Number
- JMF 23-137