Pure Mathematics

E. Brian Davies

in Science in the Looking Glass

Published in print June 2007 | ISBN: 9780199219186
Published online September 2008 | e-ISBN: 9780191711695 | DOI:
 Pure Mathematics

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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

Chapter.  19369 words.  Illustrated.

Subjects: History of Science and Technology

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