Mathematics and the Image of Reason

by Mary Tiles

Overview

A thorough account of the philosophy of mathematics. In a cogent account the author argues against the view that mathematics is solely logic.

Product Details

ISBN-13:	9780415033183
Publisher:	Taylor & Francis
Publication date:	06/06/1991
Series:	Philosophical Issues in Science
Pages:	200
Product dimensions:	5.44(w) x 8.50(h) x (d)
Lexile:	1530L (what's this?)

Table of Contents

Acknowledgements, Introduction, 1 AXIOMATIZATION, RIGOUR AND REASON, 2 FREGE: ARITHMETIC AS LOGIC, 3 RUSSELL: MATHEMATICS AS LOGIC, 4 HILBERT: MATHEMATICS AS A FORMULA GAME?, 5 IDEAL ELEMENTS AND RATIONAL IDEALS, Glossary of Symbols, Further Reading, Bibliography, Index

Editorial Reviews

Tiles (philosophy, U. of Hawaii) notes that computers have taken mathematics away from philosophers, and have given the perception that there is nothing creative or imaginative about numbers. She analyzes the logic of three philosophers of mathematics--Frege, Russell, and Hilbert--to show how mathematics underlies the rationality of science, and should be of concern to the power structure of a technological society. Annotation c. Book News, Inc., Portland, OR (booknews.com)

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