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Functorial Semiotics for Creativity in Music and Mathematics / by Guerino Mazzola, Sangeeta Dey, Zilu Chen, Yan Pang
(Computational Music Science. ISSN:18680313)

データ種別	電子ブック
版	1st ed. 2022.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2022
大きさ	XIII, 166 p : online resource
著者標目	*Mazzola, Guerino author Dey, Sangeeta author Chen, Zilu author Pang, Yan author SpringerLink (Online service)

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URL	巻　次	配架場所	請求記号	登録番号	コメント	刷　年	状　態	利用注記	ISBN	予約	請求メモ
URL		射水-電子	007	EB0002872	Computer Scinece R0 2005-6,2022-3				9783030851903

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一般注記	Part I Orientation -- Part II General Concepts -- Part III Semantic Math -- Part IV Applications -- Part V Conclusions -- References -- Index 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 HTTP:URL=https://doi.org/10.1007/978-3-030-85190-3
件　名	LCSH:Music -- Mathematics 全ての件名で検索 LCSH:Semiotics LCSH:Computational neuroscience LCSH:Art -- Study and teaching 全ての件名で検索 LCSH:Artificial intelligence LCSH:Mathematics -- Data processing 全ての件名で検索 FREE:Mathematics in Music FREE:Semiotics FREE:Computational Neuroscience FREE:Creativity and Arts Education FREE:Artificial Intelligence FREE:Computational Mathematics and Numerical Analysis
分　類	LCC:T57-57.97 LCC:ML1-3930 DC23:780.0519
書誌ID	EB00002260
ISBN	9783030851903