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Mathematics and the Image of Reason : Philosophical Issues in Science - Mary Tiles

Mathematics and the Image of Reason

Philosophical Issues in Science

Hardcover Published: 6th June 1991
ISBN: 9780415033183
Number Of Pages: 204

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As science has become 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.
Mary Tiles writes in a lively, refreshingly non-technical style and succeeds in combining the highest degree of rigor with imagination and insight to provide a valuable book for students of the philosophy of logic and mathematics, epistemology, as well as for philosophically minded mathematicians and computer scientists.

Acknowledgementsp. xi
Introductionp. 1
Axiomatization, Rigour and Reasonp. 7
Axiomatization, Rigour and Reasonp. 7
Frege: Arithmetic as Logicp. 33
Russell: Mathematics as Logicp. 59
Hilbert: Mathematics as a Formula-Game?p. 89
Ideal Elements and Rational Idealsp. 129
Glossary of Symbolsp. 175
Further Readingp. 176
Bibliographyp. 178
Indexp. 184
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780415033183
ISBN-10: 0415033187
Series: Philosophical Issues in Science
Audience: Tertiary; University or College
Format: Hardcover
Language: English
Number Of Pages: 204
Published: 6th June 1991
Country of Publication: GB
Dimensions (cm): 21.59 x 13.97  x 1.6
Weight (kg): 0.41
Edition Number: 1