001446414 000__ 03640cam\a2200601Ii\4500
001446414 001__ 1446414
001446414 003__ OCoLC
001446414 005__ 20230310003956.0
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001446414 008__ 220504s2022\\\\sz\a\\\\ob\\\\001\0\eng\d
001446414 019__ $$a1312803272$$a1313072684$$a1313894659
001446414 020__ $$a9783030851903$$q(electronic bk.)
001446414 020__ $$a3030851907$$q(electronic bk.)
001446414 020__ $$z9783030851897
001446414 020__ $$z3030851893
001446414 0247_ $$a10.1007/978-3-030-85190-3$$2doi
001446414 035__ $$aSP(OCoLC)1313910461
001446414 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dYDX$$dEBLCP$$dOCLCF$$dUKAHL$$dOCLCQ
001446414 049__ $$aISEA
001446414 050_4 $$aML3800
001446414 08204 $$a780/.0519$$223/eng/20220504
001446414 1001_ $$aMazzola, G.$$q(Guerino),$$eauthor.$$1https://isni.org/isni/0000000116813995
001446414 24510 $$aFunctorial semiotics for creativity in music and mathematics /$$cGuerino Mazzola, Sangeeta Dey, Zilu Chen, Yan Pang.
001446414 264_1 $$aCham, Switzerland :$$bSpringer,$$c2022.
001446414 300__ $$a1 online resource (1 volume) :$$billustrations (black and white, and colour).
001446414 336__ $$atext$$btxt$$2rdacontent
001446414 337__ $$acomputer$$bc$$2rdamedia
001446414 338__ $$aonline resource$$bcr$$2rdacarrier
001446414 4901_ $$aComputational music science
001446414 504__ $$aIncludes bibliographical references and index.
001446414 5050_ $$aPart I Orientation -- Part II General Concepts -- Part III Semantic Math -- Part IV Applications -- Part V Conclusions -- References -- Index.
001446414 506__ $$aAccess limited to authorized users.
001446414 520__ $$aThis book presents a new semiotic theory based upon category theory and applying to a classification of creativity in music and mathematics. It is the first functorial approach to mathematical semiotics that can be applied to AI implementations for creativity by using topos theory and its applications to music theory. Of particular interest is the generalized Yoneda embedding in the bidual of the category of categories (Lawvere) - parametrizing semiotic units - enabling a Cech cohomology of manifolds of semiotic entities. It opens up a conceptual mathematics as initiated by Grothendieck and Galois and allows a precise description of musical and mathematical creativity, including a classification thereof in three types. This approach is new, as it connects topos theory, semiotics, creativity theory, and AI objectives for a missing link to HI (Human Intelligence). The reader can apply creativity research using our classification, cohomology theory, generalized Yoneda embedding, and Java implementation of the presented functorial display of semiotics, especially generalizing the Hjelmslev architecture. The intended audience are academic, industrial, and artistic researchers in creativity.
001446414 588__ $$aDescription based on print version record.
001446414 650_0 $$aMusic$$xMathematics.
001446414 650_0 $$aMusic$$xPsychological aspects.
001446414 650_0 $$aMathematics$$xPsychological aspects.
001446414 650_0 $$aCreative ability.
001446414 650_0 $$aSemiotics.
001446414 650_0 $$aFunctor theory.
001446414 655_0 $$aElectronic books.
001446414 7001_ $$aDey, Sangeeta,$$eauthor.$$1https://isni.org/isni/0000000496849008
001446414 7001_ $$aChen, Zilu,$$eauthor.
001446414 7001_ $$aPang, Yan,$$eauthor.
001446414 77608 $$iPrint version:$$aMazzola, G. (Guerino).$$tFunctorial semiotics for creativity in music and mathematics.$$dCham : Springer, 2022$$z9783030851897$$w(OCoLC)1308488655
001446414 830_0 $$aComputational music science.
001446414 852__ $$bebk
001446414 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-85190-3$$zOnline Access$$91397441.1
001446414 909CO $$ooai:library.usi.edu:1446414$$pGLOBAL_SET
001446414 980__ $$aBIB
001446414 980__ $$aEBOOK
001446414 982__ $$aEbook
001446414 983__ $$aOnline
001446414 994__ $$a92$$bISE