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001446592 020__ $$a9783030964368$$q(electronic bk.)
001446592 020__ $$a3030964361$$q(electronic bk.)
001446592 020__ $$z9783030964351$$q(print)
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001446592 0247_ $$a10.1007/978-3-030-96436-8$$2doi
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001446592 08204 $$a510.1$$223/eng/20220510
001446592 1001_ $$aLogan, Robert K.,$$d1939-$$eauthor.
001446592 24512 $$aA topology of mind :$$bspiral thought patterns, the hyperlinking of text, ideas and more /$$cRobert K. Logan, Izabella Pruska-Oldenhof.
001446592 264_1 $$aCham, Switzerland :$$bSpringer,$$c2022.
001446592 300__ $$a1 online resource (xvii, 245 pages) :$$billustrations.
001446592 336__ $$atext$$btxt$$2rdacontent
001446592 337__ $$acomputer$$bc$$2rdamedia
001446592 338__ $$aonline resource$$bcr$$2rdacarrier
001446592 4901_ $$aMathematics in mind,$$x2522-5413
001446592 504__ $$aIncludes bibliographical references.
001446592 5050_ $$aPart I: Mathematics in Mind -- 1. The Origins of Mathematics in the Mind -- 2. Mathematics, the Human Mind, Verbal Language -- 3. Mathematics, Writing, and Notation -- 4. Mathematics, Deductive Logic, and Abstract Science -- 5. Computing and the Internet -- Part II: Spiral Patterns in Nature and Human Thought -- 6. The Mathematical Structure of Cyclic Phenomena -- 7. Spiral and Cyclic Structures in the Abiotic Inorganic Material World -- 8. Life is a Spiral and it is Cyclic -- 9. Spiral Thought Structures in History and Philosophy -- 10. The Spiral Structure of Marshall McLuhan's Thinking -- 11. Spirals and the Arts -- Part III. Hyperlinking as Patterns of Connection -- 12. Pre-Digital Forms of Hypertext -- 13. Hypertext in the Digital Domain of Cyberspace -- 14. Hypermedia -- 15. Hyperlinking in the Spheres -- Epilogue -- References.
001446592 506__ $$aAccess limited to authorized users.
001446592 520__ $$aThis volume covers many diverse topics related in varying degrees to mathematics in mind including the mathematical and topological structures of thought and communication. It examines mathematics in mind from the perspective of the spiral, cyclic and hyperlinked structures of the human mind in terms of its language, its thoughts and its various modes of communication in science, philosophy, literature and the arts including a chapter devoted to the spiral structure of the thought of Marshall McLuhan. In it, the authors examine the topological structures of hypertext, hyperlinking, and hypermedia made possible by the Internet and the hyperlinked structures that existed before its emergence. It also explores the cognitive origins of mathematical thinking of the human mind and its relation to the emergence of spoken language, and studies the emergence of mathematical notation and its impact on education.
001446592 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed May 10, 2022).
001446592 650_0 $$aMathematics$$xPhilosophy.
001446592 650_0 $$aThought and thinking$$xMathematics.
001446592 650_0 $$aPsycholinguistics.
001446592 655_0 $$aElectronic books.
001446592 7001_ $$aPruska-Oldenhof, Izabella,$$eauthor.
001446592 77608 $$iPrint version: $$z3030964353$$z9783030964351$$w(OCoLC)1292588990
001446592 830_0 $$aMathematics in mind,$$x2522-5413
001446592 852__ $$bebk
001446592 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-96436-8$$zOnline Access$$91397441.1
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