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Axiomatizable Theory

  1. Apr 27, 2008 #1
    1. The problem statement, all variables and given/known data

    Suppose T is recursively enumerable. Show that T is actually axiomatizable (there is a recursive set P such that Theory of P = T).

    3. The attempt at a solution

    The converse of the question is easy to show, by using compactness. But I have no idea how to do this one.
  2. jcsd
  3. Apr 28, 2008 #2
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