A general principle for purely model-theoretical proofs of Gödel's second incompleteness theorem (Q2732301)

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scientific article; zbMATH DE number 1623539
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A general principle for purely model-theoretical proofs of Gödel's second incompleteness theorem
scientific article; zbMATH DE number 1623539

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    11 March 2002
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    arithmetized completenes theorem
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    second incompleteness theorem
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    A general principle for purely model-theoretical proofs of Gödel's second incompleteness theorem (English)
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    The paper gives an almost self-contained and highly readable presentation of a (slightly more general) version of Kreisel's model-theoretic proof of Gödel's second incompleteness theorem. A general ``Model Chain Lemma'' is extracted from Kreisel's proof. The lemma can be used for other proofs of Gödel's theorem, however, no examples are given.
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