A topology of mind : spiral thought patterns, the hyperlinking of text, ideas and more / Robert K. Logan, Izabella Pruska-Oldenhof.
Logan, Robert K., 1939- author.; Pruska-Oldenhof, Izabella, author.
2022
QA8.4
Available Online

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Title A topology of mind : spiral thought patterns, the hyperlinking of text, ideas and more / Robert K. Logan, Izabella Pruska-Oldenhof.
Author Logan, Robert K., 1939- author.
ISBN 9783030964368 (electronic bk.)
3030964361 (electronic bk.)
9783030964351 (print)
3030964353
DOI https://doi.org/10.1007/978-3-030-96436-8
Published Cham, Switzerland : Springer, 2022.
Language English
Description 1 online resource (xvii, 245 pages) : illustrations.
Item Number 10.1007/978-3-030-96436-8 doi
Call Number QA8.4
Dewey Decimal Classification 510.1
Summary 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.
Bibliography, etc. Note Includes bibliographical references.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed May 10, 2022).
Added Author Pruska-Oldenhof, Izabella, author.
Series Mathematics in mind, 2522-5413
Available in Other Form Print version: 9783030964351
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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.

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