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

This volume explores the mathematical and topological structures of thought and communication, examining mathematics in mind from the perspective of the human mind's spiral, cyclic, and hyperlinked structures. It also explores the cognitive origins of mathematical thinking and its relation to the emergence of spoken language, and studies the emergence of mathematical notation and its impact on education.

Format: Hardback
Length: 245 pages
Publication date: 07 May 2022
Publisher: Springer Nature Switzerland AG

This comprehensive volume delves into a wide range of topics, all of which have some connection to mathematics in mind. It explores the mathematical and topological structures of thought and communication, examining mathematics from the perspective of the spiral, cyclic, and hyperlinked structures of the human mind. The authors examine the topological structures of hypertext, hyperlinking, and hypermedia made possible by the Internet, as well as the hyperlinked structures that existed before its emergence. They also explore the cognitive origins of mathematical thinking and its relation to the emergence of spoken language, and investigate the emergence of mathematical notation and its impact on education.

The book addresses a variety of topics, including:

• The historical context of any topic that involves the emergence of mathematical thinking, focusing on archaeological and philological evidence.
• The connection between math cognition and symbolism, annotation, and other semiotic processes.
• The 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.

The authors employ a multidisciplinary approach, drawing on insights from fields such as mathematics, cognitive science, linguistics, philosophy, and the arts. The book is written in a clear and accessible style, making it suitable for both scholars and students interested in the intersection of mathematics and mind.

Overall, this volume provides a valuable contribution to the field of mathematics in mind, offering a comprehensive and interdisciplinary exploration of the complex relationship between mathematics and the human mind.

Weight: 565g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030964351
Edition number: 1st ed. 2022