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＜電子ブック＞
A Topology of Mind : Spiral Thought Patterns, the Hyperlinking of Text, Ideas and More / by Robert K. Logan, Izabella Pruska-Oldenhof
(Mathematics in Mind. ISSN:25225413)

版	1st ed. 2022.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2022
本文言語	英語
大きさ	XVII, 245 p. 124 illus : online resource
著者標目	*Logan, Robert K author Pruska-Oldenhof, Izabella author SpringerLink (Online service)
件　名	LCSH:Mathematics LCSH:Social sciences LCSH:Philosophy of mind LCSH:Topology LCSH:Communication LCSH:Computer science -- Mathematics  全ての件名で検索 LCSH:Psycholinguistics FREE:Mathematics in the Humanities and Social Sciences FREE:Philosophy of Mind FREE:Topology FREE:Media and Communication FREE:Mathematical Applications in Computer Science FREE:Psycholinguistics and Cognitive Lingusitics
一般注記	Part 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 This 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. Topics addressed include: •The historical context of any topic that involves how mathematical thinking emerged, focusing on archaeological and philological evidence. • Connection between math cognition and symbolism, annotation and other semiotic processes. • Interrelationships between mathematical discovery and cultural processes, including technological systems that guide the thrust of cognitive and social evolution. • Whether mathematics is an innate faculty or forged in cultural-historical context • What, if any, structures are shared between mathematics and language HTTP:URL=https://doi.org/10.1007/978-3-030-96436-8

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