A Topology of Mind: Spiral Thought Patterns, the Hyperlinking of Text, Ideas and More

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Robert K. Logan Izabella Pruska-Oldenhof

A Topology of Mind

Spiral Thought Patterns, the Hyperlinking of Text, Ideas and More

Robert K. Logan, Izabella Pruska-Oldenhof

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English

Springer Nature Switzerland AG
07 May 2022

Philosophy of mind; Media studies; Topology; Applied mathematics; Mathematical theory of computation

Series: Mathematics in Mind

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

By: Robert K. Logan, Izabella Pruska-Oldenhof
Imprint: Springer Nature Switzerland AG
Country of Publication: Switzerland
Edition: 2022 ed.
Dimensions: Height: 235mm, Width: 155mm,
Weight: 565g
ISBN: 9783030964351
ISBN 10: 3030964353
Series: Mathematics in Mind
Pages: 245
Publication Date: 07 May 2022
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

Reviews for A Topology of Mind: Spiral Thought Patterns, the Hyperlinking of Text, Ideas and More

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)