Jump to ContentJump to Main Navigation
The Indispensability of Mathematics$
Users without a subscription are not able to see the full content.

Mark Colyvan

Print publication date: 2001

Print ISBN-13: 9780195137545

Published to Oxford Scholarship Online: November 2003

DOI: 10.1093/019513754X.001.0001

Show Summary Details
Page of

PRINTED FROM OXFORD SCHOLARSHIP ONLINE (oxford.universitypressscholarship.com). (c) Copyright Oxford University Press, 2021. 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 January 2021

The Empirical Nature of Mathematical Knowledge

The Empirical Nature of Mathematical Knowledge

(p.115) 6 The Empirical Nature of Mathematical Knowledge
The Indispensability of Mathematics

Mark Colyvan

Oxford University Press

Any version of mathematical realism motivated by Quinean indispensability arguments must yield a mathematics that is a posteriori and fallible. Such a consequence is considered unacceptable by many – mathematical realists and antirealists alike. For example, Musgrave and Sober find that such a conclusion sits rather uneasily with scientific practice, while Hale and Wright take issue with any account of mathematics that yields the contingent existence of mathematical objects. In this chapter, these and other related objections are addressed.

Keywords:   a posteriori, contingent existence, Hale, Musgrave, scientific practice, Sober, Wright

Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us .