Jump to ContentJump to Main Navigation
Wittgenstein, Finitism, and the Foundations of Mathematics$
Users without a subscription are not able to see the full content.

Mathieu Marion

Print publication date: 2008

Print ISBN-13: 9780199550470

Published to Oxford Scholarship Online: September 2011

DOI: 10.1093/acprof:oso/9780199550470.001.0001

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: 22 July 2019

Philosophy and Logical Foundations

Philosophy and Logical Foundations

Chapter:
(p.147) 6 Philosophy and Logical Foundations
Source:
Wittgenstein, Finitism, and the Foundations of Mathematics
Author(s):

Mathieu Marion (Contributor Webpage)

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199550470.003.0006

This chapter looks at some of the parallels and differences between intuitionism and Ludwig Wittgenstein's new logic. One good way to handle this topic is with the help of the notion of truth maker. This expression was introduced by Kevin Mulligan, Peter Simons, and Barry Smith in order to designate in a neutral fashion entities in virtue of which sentences and/or propositions are true. The basic intuitionist thesis is, on the other hand, that a mathematical proposition is made true by a proof of it. It is on the basis of this thesis that intuitionists developed a new interpretation of logical constants in the 1930s which has interesting affinities not with conceptions found in the Tractatus Logico-Philosophicus but with Wittgenstein's new form of analysis in the early 1930s.

Keywords:   intuitionism, Ludwig Wittgenstein, logic, Kevin Mulligan, Peter Simons, Barry Smith, philosophy, intentionality, rules

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 .