Show Summary Details

Page of

PRINTED FROM OXFORD HANDBOOKS ONLINE (www.oxfordhandbooks.com). © 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 title in Oxford Handbooks Online for personal use (for details see Privacy Policy and Legal Notice).

date: 13 November 2019

Abstract and Keywords

This article examines the logical and mathematical background to “analytic philosophy.” “Analytic philosophy” as here understood, regards mathematics, and especially mathematical logic as a central contributor to philosophical progress and an indispensable component of philosophical reasoning. On the philosophical side, this article counts as “analytic philosophy” the work in the stream tracing back to and back from the Vienna Circle and subsequently “logical positivism,” or to Bertrand Russell. It first looks at the logic of geometry and space, focusing on projective geometry, non-Euclidean geometry, logic and freedom from intuition, rigor, and theories of types. It then focuses on the views of several philosophers such as Georg Friedrich Bernhard Riemann, Hermann Günther Grassmann, Moritz Pasch, David Hilbert, Richard Dedekind, Friedrich Ludwig Gottlob Frege, Giuseppe Peano, and Russell.

Keywords: Friedrich Ludwig Gottlob Frege, analytic philosophy, mathematics, mathematical logic, space, geometry, theories of types, Moritz Pasch, David Hilbert, Richard Dedekind

Access to the complete content on Oxford Handbooks Online requires a subscription or purchase. Public users are able to search the site and view the abstracts and keywords for each book and chapter without a subscription.

Please subscribe or login to access full text content.

If you have purchased a print title that contains an access token, please see the token for information about how to register your code.

For questions on access or troubleshooting, please check our FAQs, and if you can''t find the answer there, please contact us.