Chapter

Mathematical Intuition

Philip Kitcher

in The Nature of Mathematical Knowledge

Published in print April 1985 | ISBN: 9780195035414
Published online November 2003 | e-ISBN: 9780199833368 | DOI: http://dx.doi.org/10.1093/0195035410.003.0004
Mathematical Intuition

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If we are to obtain a priori mathematical knowledge by following proofs, then we have to be able to have a priori knowledge of the axioms. This chapter (along with Chapter 4) examines the major accounts of how such knowledge might be gained. It is argued that all these accounts fail.

Keywords: a priori; constructivism; intuition; mathematical knowledge; Platonism

Chapter.  8101 words. 

Subjects: Philosophy of Mathematics and Logic

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