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Mathematics and the Image of Reason by Mary Tiles β€” book cover

Mathematics and the Image of Reason

by Mary Tiles
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Overview

As science becomes more heavily mathematical and as computers continue to infiltrate life in affluent societies, the philosopher's concern with mathematics has, paradoxically, dwindled. It has come to be tacitly presumed that mathematics is nothing but logic.

Concentrating on three key figures in the philosophy of mathematics--Frege, Russell, and Hilbert--Mary Tiles seeks to dispel the misconception that scientific rationality and the character of reason is merely pure logic--and therefore inherently at odds with imagination. Tiles argues

against those who see mathematics as uncreative and irrelevant to our postmodern, post-structuralist age.

Synopsis

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

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Editorials

Booknews

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)

Book Details

Published
January 11, 2013
Publisher
Taylor & Francis
Pages
200
ISBN
9781134967711

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