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Philosophy of Mathematics and Computer Science -- tutorial


  • A Crash Course in the Mathematics of Infinite Sets --Peter Suber

  • Notes on Intuitionism

  • Confessions of a formalist, Platonist intuitionist--Fred Richman

  • Historia Mathematica --Discussion Archives

  • The Axiom of Choice Home Page --Eric Schechter

  • Non-Standard Models in a Broader Perspective --Haim Gaifman (.pdf)

  • Kurt Gödel
    • On Formally Undecidable Propositions of Principia Mathematica and Related Systems --the text of Gödel's 1931 paper
    • On Formally Undecidable Propositions. . . --a translation using modern notation (.pdf)
    • The modern development of the foundations of mathematics in the light of philosophy --Gödel (1961)
    • Gödel's Theorem and Around --K. Podnieks
    • Gödel's Proof --Peter Suber
    • Gödel's Philosophy of Mathematics --Harold Ravitch
    • Minds, Machines and Gödel and The Implications of Gödel's Theorem --J. R. Lucas
    • Links to Articles on Gödel and AI (with responses to J.R. Lucas and Roger Penrose) --David Chalmers
    • Portraits of Kurt Gödel

  • Selected articles from the Stanford Encyclopedia of Philosophy
    • Continuity and Infinitesmals
    • Intuitionistic Logic
    • Hilbert's Program
    • Computability and Complexity

  • Alan Turing Home Page --Andrew Hodges

  • Turing vs. Super-Turing --Luciano Floridi

  • GJ Chaitin Home Page

  • Randomness Everywhere --Notes on Chaitin's Number

  • A Bibliography of Non-Standard Logics --Peter Suber

Updated September 11, 2005