David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
History and Philosophy of Logic 12 (2):167-183 (1991)
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||categorize this paper)|
|Through your library||Configure|
References found in this work BETA
Paul Benacerraf (1964). Philosophy of Mathematics. Englewood Cliffs, N.J.,Prentice-Hall.
David Bloor (1973). Wittgenstein and Mannheim on the Sociology of Mathematics. Studies in History and Philosophy of Science Part A 4 (2):173-191.
Michael Dummett (1982). Realism. Synthese 52 (1):145--165.
Michael Dummett (1959). Wittgenstein's Philosophy of Mathematics. Philosophical Review 68 (3):324-348.
Michael Dummett (1997). Wittgenstein's Philosophy of Mathematics. Journal of Philosophy 94 (7):166--85.
Citations of this work BETA
No citations found.
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):249-324.
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.
Added to index2010-08-10
Total downloads15 ( #90,355 of 1,089,047 )
Recent downloads (6 months)1 ( #69,722 of 1,089,047 )
How can I increase my downloads?