Intuitionistic mathematics and wittgenstein

History and Philosophy of Logic 12 (2):167-183 (1991)
  Copy   BIBTEX

Abstract

The relation between Wittgenstein's philosophy of mathematics and mathematical Intuitionism has raised a considerable debate. My attempt is to analyse if there is a commitment in Wittgenstein to themes characteristic of the intuitionist movement in Mathematics and if that commitment is one important strain that runs through his Remarks on the foundations of mathematics. The intuitionistic themes to analyse in his philosophy of mathematics are: firstly, his attacks on the unrestricted use of the Law of Excluded Middle; secondly, his distrust of non-constructive proofs; and thirdly, his impatience with the idea that mathematics stands in need of a foundation. These elements are Fogelin's starting point for the systematic reconstruction of Wittgenstein's conception of mathematics

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 89,528

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Intentional mathematics.Stewart Shapiro (ed.) - 1985 - New YorK, N.Y., U.S.A.: Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co..
Waismann's Critique of Wittgenstein.Anthony Birch - 2007 - Analysis and Metaphysics 6:263-272.
Wittgenstein on the Foundations of Mathematics.Crispin Wright - 1980 - Cambridge, Mass.: Harvard University Press.
On some much maligned remarks of Wittgenstein on gödel.Charles Sayward - 2001 - Philosophical Investigations 24 (3):262–270.

Analytics

Added to PP
2010-08-10

Downloads
90 (#171,389)

6 months
3 (#431,291)

Historical graph of downloads
How can I increase my downloads?

References found in this work

Zettel.Ludwig Wittgenstein - 1967 - Oxford,: Blackwell. Edited by G. E. M. Anscombe & G. H. von Wright.
Remarks on the foundations of mathematics.Ludwig Wittgenstein - 1967 - Oxford [Eng.]: Blackwell. Edited by G. E. M. Anscombe, Rush Rhees & G. H. von Wright.
Truth and other enigmas.Michael Dummett - 1978 - Cambridge: Harvard University Press.
Elements of Intuitionism.Michael Dummett - 1977 - New York: Oxford University Press. Edited by Roberto Minio.
From Frege to Gödel.Jean van Heijenoort (ed.) - 1967 - Cambridge,: Harvard University Press.

View all 30 references / Add more references