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Science in the Looking GlassWhat Do Scientists Really Know?$
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E. Brian Davies

Print publication date: 2007

Print ISBN-13: 9780199219186

Published to Oxford Scholarship Online: September 2008

DOI: 10.1093/acprof:oso/9780199219186.001.0001

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PRINTED FROM OXFORD SCHOLARSHIP ONLINE (oxford.universitypressscholarship.com). (c) Copyright Oxford University Press, 2021. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 24 January 2021

Pure Mathematics

Pure Mathematics

(p.99) 5 Pure Mathematics
Science in the Looking Glass

E. Brian Davies

Oxford University Press

This chapter seeks to demolish the myth that mathematics is uniquely free of controversy, and therefore a guaranteed source of objective and eternal knowledge. Topics discussed include the origins of mathematics, search for the foundations of mathematics, arguments against the claim that mathematics needs foundations, empiricism in mathematics, the real number system, and the computer revolution.

Keywords:   origins of mathematics, logic, foundations of mathematics, empiricism, computer revolution, real number system

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