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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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Pure Mathematics

Pure Mathematics

Chapter:
(p.99) 5 Pure Mathematics
Source:
Science in the Looking Glass
Author(s):

E. Brian Davies

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199219186.003.0005

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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