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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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PRINTED FROM OXFORD SCHOLARSHIP ONLINE (www.oxfordscholarship.com). (c) Copyright Oxford University Press, 2019. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 21 November 2019

Conceptualism

Conceptualism

Chapter:
(p.65) 4 Conceptualism
Source:
The Nature of Mathematical Knowledge
Author(s):

Philip Kitcher (Contributor Webpage)

Publisher:
Oxford University Press
DOI:10.1093/0195035410.003.0005

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 continues Chapter 3's examination of the major accounts of how such knowledge might be gained. It is argued that all these accounts fail.

Keywords:   a priori, apriorism, conceptualism, Quine

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