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Mathematics in Mind

Mathematics in Mind: Spiral Thought Patterns, the Hyperlinking of Text, Ideas and More

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Mathematics in Mind: Spiral Thought Patterns, the Hyperlinking of Text, Ideas and More

Logan, Robert K.; Pruska-Oldenhof, Izabella

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


Details

Published by: Springer

Publication Date: 2022-05-07

Format: Hardcover

ISBN-13: 9783030964351

DOI: 10.1007/978-3-030-96436-8

Dimensions: 235cm x155cm

Pages: 245

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