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The Nature of Mathematical Knowledge$
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Philip Kitcher

Print publication date: 1985

Print ISBN-13: 9780195035414

Published to Oxford Scholarship Online: November 2003

DOI: 10.1093/0195035410.001.0001

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Mathematical Intuition

Mathematical Intuition

(p.49) 3 Mathematical Intuition
The Nature of Mathematical Knowledge

Philip Kitcher (Contributor Webpage)

Oxford University Press

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

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