Wittgenstein as his own worst enemy: The case of gödel's theorem
Philosophia Mathematica 9 (3):257-279 (2001)
| Abstract | Remarks on the Foundations of Mathematics, Wittgenstein, despite his official 'mathematical nonrevisionism', slips into attempting to refute Gödel's theorem. Actually, Wittgenstein could have used Gödel's theorem to good effect, to support his view that proof, and even truth, are 'family resemblance' concepts. The reason that Wittgenstein did not see all this is that Gödel's theorem had become an icon of mathematical realism, and he was blinded by his own ideology. The essay is a reply to Juliet Floyd's work on Gödel: what she says Wittgenstein said, I say he should have said, but didn't (couldn't). | |||||||||
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Similar books and articlesJuliet Floyd & Hilary Putnam (2000). A Note on Wittgenstein's "Notorious Paragraph" About the Gödel Theorem. Journal of Philosophy 97 (11):624-632.
Charles Sayward (2005). Steiner Versus Wittgenstein: Remarks on Differing Views of Mathematical Truth. Theoria 20 (3):347-352.
Timothy Bays (2004). On Floyd and Putnam on Wittgenstein on Gödel. Journal of Philosophy 101 (4):197 - 210.
Graham Priest (2004). Wittgenstein's Remarks on Gödel's Theorem. In Max Kölbel & Bernhard Weiss (eds.), Wittgenstein's Lasting Significance. Routledge.
Juliet Floyd (2002). Prosa Versus Demonstração: Wittgenstein Sobre Gödel, Tarski E a Verdade. Revista Portuguesa de Filosofia 58 (3):605 - 632.
Charles Sayward (2001). On Some Much Maligned Remarks of Wittgenstein on Gödel. Philosophical Investigations 24 (3):262–270.
Francesco Berto (2009). The Gödel Paradox and Wittgenstein's Reasons. Philosophia Mathematica 17 (2):208-219.
Juliet Floyd (2001). Prose Versus Proof: Wittgenstein on Gödel, Tarski and Truth. Philosophia Mathematica 9 (3):280-307.
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