Jump to ContentJump to Main Navigation
Philosophy of MathematicsStructure and Ontology$
Users without a subscription are not able to see the full content.

Stewart Shapiro

Print publication date: 2000

Print ISBN-13: 9780195139303

Published to Oxford Scholarship Online: November 2003

DOI: 10.1093/0195139305.001.0001

Show Summary Details
Page of

PRINTED FROM OXFORD SCHOLARSHIP ONLINE (www.oxfordscholarship.com). (c) Copyright Oxford University Press, 2019. All Rights Reserved. Under the terms of the licence agreement, an individual user may print out a PDF of a single chapter of a monograph in OSO for personal use (for details see www.oxfordscholarship.com/page/privacy-policy).date: 26 May 2019

Mathematics and Its Philosophy

Mathematics and Its Philosophy

Chapter:
(p.21) 1 Mathematics and Its Philosophy
Source:
Philosophy of Mathematics
Author(s):

Stewart Shapiro (Contributor Webpage)

Publisher:
Oxford University Press
DOI:10.1093/0195139305.003.0002

This chapter deals with the relationship between the practice of mathematics and the philosophy of mathematics. The philosopher of mathematics is, or should be, concerned with mathematics as it is practiced, and so I demur from “philosophy first”, the view that philosophical considerations should set the stage for and determine the proper practice of mathematics. The rejected orientation is sometimes called “first philosophy”. The other extreme, “philosophy last if at all”, is also unhealthy. Mathematics and its philosophy are autonomous disciplines, each with its own questions and problems, and neither dominating the other. Ideally, there should be fruitful interactions between them. The perspective is compared and contrasted with Quine's and Maddy's naturalism.

Keywords:   Maddy, mathematics, naturalism, philosophy, philosophy of mathematics, Quine

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 .