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Gödel's completeness theorem

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  1. Gödel's original proof of the theorem proceeded by reducing the problem to a special case for formulas in a certain syntactic form, and then handling this form with an ad hoc argument

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 11, 2009
  2. first proven by Kurt Gödel in 1929

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 11, 2009
  3. a fundamental theorem in mathematical logic that establishes a correspondence between semantic truth and syntactic provability in first-order logic

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 11, 2009
  4. A first-order formula is called logically valid if it is true in every structure for its language

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 11, 2009
  5. shows that if a formula is logically valid then there is a finite deduction (a formal proof) of the formula

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 11, 2009
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