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  1. On the incompleteness theorems.Henryk Kotlarski - 1994 - Journal of Symbolic Logic 59 (4):1414-1419.
    We give new proofs of both incompleteness theorems. We do not use the diagonalization lemma, but work with some quickly growing functions instead.
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  • Paradox without Self-Reference.Stephen Yablo - 1993 - Analysis 53 (4):251-252.
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  • On Formalization of Model-Theoretic Proofs of Gödel's Theorems.Makoto Kikuchi & Kazuyuki Tanaka - 1994 - Notre Dame Journal of Formal Logic 35 (3):403-412.
    Within a weak subsystem of second-order arithmetic , that is -conservative over , we reformulate Kreisel's proof of the Second Incompleteness Theorem and Boolos' proof of the First Incompleteness Theorem.
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  • A survey of proof theory.G. Kreisel - 1968 - Journal of Symbolic Logic 33 (3):321-388.
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  • Rosser sentences.D. Guaspari - 1979 - Annals of Mathematical Logic 16 (1):81.
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  • Derivability conditions on Rosser's provability predicates.Toshiyasu Arai - 1990 - Notre Dame Journal of Formal Logic 31 (4):487-497.
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