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001468133 001__ 1468133
001468133 003__ OCoLC
001468133 005__ 20230707003356.0
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001468133 019__ $$a1379097618$$a1379448666
001468133 020__ $$a9783031232459$$qelectronic book
001468133 020__ $$a3031232453$$qelectronic book
001468133 020__ $$z3031232445
001468133 020__ $$z9783031232442
001468133 0247_ $$a10.1007/978-3-031-23245-9$$2doi
001468133 035__ $$aSP(OCoLC)1380348383
001468133 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dEBLCP$$dYDX
001468133 049__ $$aISEA
001468133 050_4 $$aQA8.4$$b.K57 2023
001468133 08204 $$a510.1$$223/eng/20230525
001468133 1001_ $$aKiryushchenko, Vitaly,$$eauthor.
001468133 24510 $$aDiagrams, visual imagination, and continuity in Peirce's philosophy of mathematics /$$cVitaly Kiryushchenko.
001468133 264_1 $$aCham, Switzerland :$$bSpringer,$$c2023.
001468133 300__ $$a1 online resource (172 pages) :$$billustrations (black and white).
001468133 336__ $$atext$$btxt$$2rdacontent
001468133 337__ $$acomputer$$bc$$2rdamedia
001468133 338__ $$aonline resource$$bcr$$2rdacarrier
001468133 4901_ $$aMathematics in mind
001468133 504__ $$aIncludes bibliographical references.
001468133 5050_ $$a1. Introduction -- 2. Meritocratism, Errors, and the Community of Inquiry -- 3. Logic and Mathematics -- 4. Peirce's Transcendental Deduction -- 5. Sign Relation. - 6 One, Two, Three -- 7. Iconicity and Novelty -- 8. The General and the Particular -- 9. Diagrams Between Images and Schema -- 10. Existential Graphs -- 11. Iconicity, Similarity, and Habitual Action -- 12. Mapping Philosophy -- 13. L'Image-Mouvement, Mathematically Sublime, and the Perception of Totality -- 14. The Metaphysics of Continuity -- 15. Conclusion. .
001468133 506__ $$aAccess limited to authorized users.
001468133 520__ $$aThis book is about the relationship between necessary reasoning and visual experience in Charles S. Peirces mathematical philosophy. It presents mathematics as a science that presupposes a special imaginative connection between our responsiveness to reasons and our most fundamental perceptual intuitions about space and time. Central to this view on the nature of mathematics is Peirces idea of diagrammatic reasoning. In practicing this kind of reasoning, one treats diagrams not simply as external auxiliary tools, but rather as immediate visualizations of the very process of the reasoning itself. Thus conceived, one's capacity to diagram their thought reveals a set of characteristics common to ordinary language, visual perception, and necessary mathematical reasoning. The book offers an original synthetic approach that allows tracing the roots of Peirces conception of a diagram in certain patterns of interrelation between his semiotics, his pragmaticist philosophy, his logical and mathematical ideas, bits and pieces of his biography, his personal intellectual predispositions, and his scientific practice as an applied mathematician.
001468133 588__ $$aDescription based on print version record.
001468133 60010 $$aPeirce, Charles S.$$q(Charles Sanders),$$d1839-1914$$1https://isni.org/isni/0000000107923463$$q(Charles Sanders),$$d1839-1914$$0(OCoLC)oca00267869
001468133 650_0 $$aMathematics$$xPhilosophy.
001468133 650_0 $$aReasoning.
001468133 655_0 $$aElectronic books.
001468133 77608 $$iPrint version:$$aKIRYUSHCHENKO, VITALY.$$tDIAGRAMS, VISUAL IMAGINATION, AND CONTINUITY IN PEIRCE'S PHILOSOPHY OF MATHEMATICS.$$d[Place of publication not identified] : SPRINGER INTERNATIONAL PU, 2023$$z3031232445$$w(OCoLC)1351737917
001468133 830_0 $$aMathematics in mind.
001468133 852__ $$bebk
001468133 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-23245-9$$zOnline Access$$91397441.1
001468133 909CO $$ooai:library.usi.edu:1468133$$pGLOBAL_SET
001468133 980__ $$aBIB
001468133 980__ $$aEBOOK
001468133 982__ $$aEbook
001468133 983__ $$aOnline
001468133 994__ $$a92$$bISE