Jump to ContentJump to Main Navigation
The Quest for RealityBohr and Wittgenstein - two complementary views$
Users without a subscription are not able to see the full content.

Stig Stenholm

Print publication date: 2011

Print ISBN-13: 9780199603589

Published to Oxford Scholarship Online: September 2011

DOI: 10.1093/acprof:oso/9780199603589.001.0001

Show Summary Details
Page of

PRINTED FROM OXFORD SCHOLARSHIP ONLINE (www.oxfordscholarship.com). (c) Copyright Oxford University Press, 2018. 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: 19 January 2019

Shaky foundations

Shaky foundations

(p.164) 6 Shaky foundations
The Quest for Reality

Stig Stenholm

Oxford University Press

Here this chapter summarizes the effort to reach absolute certainty in mathematics. This endeavor ended in failure, because no absolute truths can be found even in formal systems. The underdetermination of all such systems is taken to imply that not even the best theory can reach an absolute truth, In view of this, Wittgenstein devotes a lot of discussion to the very activity of doing mathematics: What can we know and what can we do even without a solid foundation? If the world of mathematics is posited, what life can live and develop in this world?

Keywords:   foundations, mathematics, determination, Russel, Frege, Gödel, Turing

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 .