Switch to: Citations

Add references

You must login to add references.
  1. Wittgenstein as his own worst enemy: The case of gödel's theorem.Mark Steiner - 2001 - Philosophia Mathematica 9 (3):257-279.
    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: (...)
    Direct download (7 more)  
     
    Export citation  
     
    Bookmark   11 citations  
  • Prose versus proof: Wittgenstein on gödel, Tarski and Truth.Juliet Floyd - 2001 - Philosophia Mathematica 9 (3):280-307.
    A survey of current evidence available concerning Wittgenstein's attitude toward, and knowledge of, Gödel's first incompleteness theorem, including his discussions with Turing, Watson and others in 1937–1939, and later testimony of Goodstein and Kreisel; 2) Discussion of the philosophical and historical importance of Wittgenstein's attitude toward Gödel's and other theorems in mathematical logic, contrasting this attitude with that of, e.g., Penrose; 3) Replies to an instructive criticism of my 1995 paper by Mark Steiner which assesses the importance of Tarski's semantical (...)
    Direct download (7 more)  
     
    Export citation  
     
    Bookmark   23 citations