How We Understand Mathematics

Conceptual Integration in the Language of Mathematical Description

By:

Jacek Wozny

Format:

Paperback / softback

Series:

Mathematics in Mind

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Description

This volume examines mathematics as a product of the human mind and analyzes the language of "pure mathematics" from various advanced-level sources. Through analysis of the foundational texts of mathematics, it is demonstrated that math is a complex literary creation, containing objects, actors, actions, projection, prediction, planning, explanation, evaluation, roles, image schemas, metonymy, conceptual blending, and, of course, (natural) language. The book follows the narrative of mathematics in a typical order of presentation for a standard university-level algebra course, beginning with analysis of set theory and mappings and continuing along a path of increasing complexity. At each stage, primary concepts, axioms, definitions, and proofs will be examined in an effort to unfold the tell-tale traces of the basic human cognitive patterns of story and conceptual blending. This book will be of interest to mathematicians, teachers of mathematics, cognitive scientists, cognitive linguists, and anyone interested in the engaging question of how mathematics works and why it works so well.

Release date Australia

January 30th, 2019

Author

Jacek Wozny

Audience

Professional & Vocational

Edition

Softcover reprint of the original 1st ed. 2018

Illustrations

10 Illustrations, color; 6 Illustrations, black and white; X, 118 p. 16 illus., 10 illus. in color.

Pages

118

Series

Mathematics in Mind

ISBN-13

9783030085131

Product ID

30323545

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How We Understand Mathematics

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