Foundations
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Web Sites
  • A Century of Controversy over the Foundations of Mathematics
    Edited transcript of a lecture by Gregory Chaitin, author of `The Unknowable'.
    http://www.umcs.maine.edu/~chaitin/lowell.html
     
  • Arché
    The Arche project looks at the foundations of mathematics, especially at Frege's Theorem and its ramifications. Based at the University of St Andrews.
    http://www.st-and.ac.uk/academic/philosophy/arche/
     
  • FOM
    A closed, moderated, e-mail list for discussing Foundations of Mathematics moderated by Martin Davis. Archive available.
    http://www.cs.nyu.edu/mailman/listinfo/fom/
     
  • Foundations of Mathematics
    This is a site for studying foundations of mathematics, or it can be used as a reference material. The site is structured as contents pages of a book on the subject of mathematics foundations. It comprises links to expository materials.
    http://sakharov.net/foundation.html
     
  • Hilbert II - Mathematical Foundation Project
    The Goal of Hilbert II, which is in the tradition of Hilbert's program, is the creation of a system that enables a working mathematician to put theorems and proofs (in the formal language of predicate calculus) into it.
    http://www.qedeq.org/
     
  • Mizar Project
    An attempt to reconstruct mathematical vernacular into a formal language which can be read by humans and also verified by software.
    http://www.mizar.org/
     
  • Practical Foundations of Mathematics
    Online text of the book by Paul Taylor, together with supporting materials. The text aims to provide a conceptual and formal foundation for mathematics and computer science.
    http://www.dcs.qmw.ac.uk/~pt/Practical_Foundations/
     
  • QED Project
    Build a single, distributed, computerized repository that rigorously represents all important, established mathematical knowledge
    http://www-unix.mcs.anl.gov/qed/
     
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    Foundations

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