Intuitionistic mathematics and wittgenstein

History and Philosophy of Logic 12 (2):167-183 (1991)
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
Keywords No keywords specified (fix it)
Categories
Options
 Save to my reading list
Follow the author(s)
My bibliography
Export citation 		Find it on Scholar
Edit this record
Mark as duplicate
Revision history Request removal from index
 
Download options
PhilPapers Archive


Upload a copy of this paper     Check publisher's policy on self-archival     Papers currently archived: 5,631
External links
    • Through your library Configure

    Similar books and articles
    Sten Lindström, Erik Palmgren, Krister Segerberg & Viggo Stoltenberg-Hansen (eds.) (2009). Logicism, Intuitionism, and Formalism - What has Become of Them? Springer.
    James Robert Brown (1999). Philosophy of Mathematics: An Introduction to the World of Proofs and Pictures. Routledge.
    Charles Sayward (2001). On Some Much Maligned Remarks of Wittgenstein on Gödel. Philosophical Investigations 24 (3):262–270.
    Mathieu Marion (1998). Wittgenstein, Finitism, and the Foundations of Mathematics. Oxford University Press.
    Frank Waaldijk (2005). On the Foundations of Constructive Mathematics – Especially in Relation to the Theory of Continuous Functions. Foundations of Science 10 (3).
    Crispin Wright (1980). Wittgenstein on the Foundations of Mathematics. Harvard University Press.
    Anthony Birch (2007). Waismann's Critique of Wittgenstein. Analysis and Metaphysics 6 (2007):263-272.
    Stewart Shapiro (ed.) (1985). Intentional Mathematics. Sole Distributors for the U.S.A. And Canada, Elsevier Science Pub. Co..
    Steve Gerrard (1991). Wittgenstein's Philosophies of Mathematics. Synthese 87 (1):125-142.
    Pasquale Frascolla (1994). Wittgenstein's Philosophy of Mathematics. Routledge.

    Analytics

    Monthly downloads

    Added to index

    2010-08-10

    Total downloads

    13 ( #87,789 of 548,972 )

    Recent downloads (6 months)

    1 ( #63,511 of 548,972 )

    How can I increase my downloads?


    My notes
    Sign in to use this feature


    Discussion
    Start a new thread
    Order:
    		There  are no threads in this forum
    Nothing in this forum yet.

    Other forums




    Applied ethicsEpistemologyHistory of Western PhilosophyMeta-ethicsMetaphysicsNormative ethics
    Philosophy of biologyPhilosophy of languagePhilosophy of mindPhilosophy of religionScience Logic and MathematicsMore ...
    Home | New books and articles | Bibliographies | Philosophy journals | Discussions | The Categorization Project | About PhilPapers | API | Contact us

    Institute of Philosophy
    School of Advanced Study
    University of London     		Centre for Consciousness
    Research School of Social Sciences
    Australian National University
    This site uses Google Analytics (see our terms & conditions for details regarding the privacy implications).

    Use of this site is subject to terms & conditions.
    All rights reserved by David Bourget and David Chalmers

    Page generated Sat May 18 21:01:17 2013 - Hash code: Dhh8R3LnethzH4Y2cw4GYw