A Topology of Mind: Spiral Thought Patterns, the Hyperlinking of Text, Ideas and More: Mathematics in Mind
Autor Robert K. Logan, Izabella Pruska-Oldenhofen Limba Engleză Paperback – 8 mai 2023
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
• 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
| Toate formatele și edițiile | Preț | Express |
|---|---|---|
| Paperback (1) | 681.14 lei 6-8 săpt. | |
| Springer International Publishing – 8 mai 2023 | 681.14 lei 6-8 săpt. | |
| Hardback (1) | 687.20 lei 6-8 săpt. | |
| Springer International Publishing – 7 mai 2022 | 687.20 lei 6-8 săpt. |
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Specificații
ISBN-13: 9783030964382
ISBN-10: 3030964388
Pagini: 245
Ilustrații: XVII, 245 p. 124 illus.
Dimensiuni: 155 x 235 mm
Greutate: 0.37 kg
Ediția:1st ed. 2022
Editura: Springer International Publishing
Colecția Springer
Seria Mathematics in Mind
Locul publicării:Cham, Switzerland
ISBN-10: 3030964388
Pagini: 245
Ilustrații: XVII, 245 p. 124 illus.
Dimensiuni: 155 x 235 mm
Greutate: 0.37 kg
Ediția:1st ed. 2022
Editura: Springer International Publishing
Colecția Springer
Seria Mathematics in Mind
Locul publicării:Cham, Switzerland
Cuprins
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.
Recenzii
“The book is one of the outstanding consulting resources as well as guidance book for the graduate studies on the philosophy of science and history of sciences parallel to the human evaluation. The book is explore the cognitive origins of mathematical thinking of the human mind and its relations to the spoken languages parallel to the existing of the human being.” (Haydar Akca, zbMATH 1503.92006, 2023)
Textul de pe ultima copertă
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
• 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
Caracteristici
Tackles and develops the structural relationship of the data, relationship, knowledge, and wisdom Covers many diverse topics related in varying degrees in an accessible manner Examines thematic areas with implications for the study of math and mind, including philosophy and linguistics