Jump to ContentJump to Main Navigation
The Oxford Handbook of Philosophy of Mathematics and Logic$
Users without a subscription are not able to see the full content.

Stewart Shapiro

Print publication date: 2005

Print ISBN-13: 9780195148770

Published to Oxford Scholarship Online: July 2005

DOI: 10.1093/0195148770.001.0001

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: 20 April 2019

Intuitionism in Mathematics

Intuitionism in Mathematics

Chapter:
(p.356) Intuitionism in Mathematics
Source:
The Oxford Handbook of Philosophy of Mathematics and Logic
Author(s):

D. C. McCarty (Contributor Webpage)

Publisher:
Oxford University Press
DOI:10.1093/0195148770.003.0010

This chapter presents and illustrates fundamental principles of the intuitionistic mathematics devised by L.E.J. Brouwer and then describes in largely nontechnical terms metamathematical results that shed light on the logical character of that mathematics. The fundamental principles, such as Uniformity and Brouwer’s Theorem, are drawn from the intuitionistic studies of logic and topology. The metamathematical results include Gödel’s negative and modal translations and Kleene’s realizability interpretation. The chapter closes with an assessment of anti-realism as a philosophy of intuitionism.

Keywords:   intuitionism, mathematics, Brouwer, uniformity, Gödel, Kleene, realizability, anti-realism

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 .