The Construction of Mathematics: The Human Mind's Greatest Achievement

The Construction of Mathematics: The Human Mind's Greatest Achievement

by Klaus Truemper
The Construction of Mathematics: The Human Mind's Greatest Achievement

The Construction of Mathematics: The Human Mind's Greatest Achievement

by Klaus Truemper

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Overview

Is mathematics created or discovered?

The answer has been debated for centuries. This book answers the question clearly and decisively by applying the concept of language games, invented by the philosopher Wittgenstein to solve difficult philosophical issues.

Using the results of modern brain science, the book also explains how it is possible that eminent mathematicians and scientists offer diametrically opposed answers to the question of creation vs. discovery.

Interested in the topic but intimidated by mathematics? Not to worry. If you are familiar with the elementary operations of addition, subtraction, multiplication, and division, you can follow the arguments of this book.

Product Details

ISBN-13: 9780966355437
Publisher: Leibniz Company
Publication date: 03/02/2017
Pages: 322
Product dimensions: 6.00(w) x 9.00(h) x 0.72(d)

About the Author

K. Truemper is Professor Emeritus of Computer Science at the University of Texas at Dallas. He is the author of several additional books on mathematics and computer science.

Table of Contents

1-Introduction; 2-Numbers; 3-Notation; 4-Infinity; 5-Six Problems of Antiquity; 6-Proof; 7-Computing Machines; 8-Question: Creation or Discovery? 9-Wittgenstein’s Philosophy; 10-Language Games of History; 11-Effectiveness of Mathematics; 12-Life Without Mathematics; 13-Brain Science; 14-Creation of Mathematics; Notes; Bibliography; Acknowledgements; Index.

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