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Foundations

Science > Math > Logic and Foundations > Foundations

 
Websites
 
  • Mizar Project - http://www.mizar.org/
    • An attempt to reconstruct mathematical vernacular into a formal language which can be read by humans and also verified by software.
  • QED Project - http://www-unix.mcs.anl.gov/qed/
    • Build a single, distributed, computerized repository that rigorously represents all important, established mathematical knowledge
  • A Century of Controversy over the Foundations of Mathematics - http://www.umcs.maine.edu/~chaitin/lowell.html
    • Edited transcript of a lecture by Gregory Chaitin, author of `The Unknowable'.
  • Arché - http://www.st-and.ac.uk/academic/philosophy/arche/
    • The Arche project looks at the foundations of mathematics, especially at Frege's Theorem and its ramifications. Based at the University of St Andrews.
  • FOM - http://www.cs.nyu.edu/mailman/listinfo/fom/
    • A closed, moderated, e-mail list for discussing Foundations of Mathematics moderated by Martin Davis. Archive available.
  • Foundations of Mathematics - http://sakharov.net/foundation.html
    • Reviews the foundations of mathematics with reference materials structured as content pages of a book. Includes links to expository materials.
  • Hilbert II - Mathematical Foundation Project - http://www.qedeq.org/
    • 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.
  • Practical Foundations of Mathematics - http://www.cs.man.ac.uk/~pt/practical_foundations/index.html
    • 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.

 
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