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Collected Works, Volume 1: Publications 1929-1936

Oxford, England: Clarendon Press (1986)

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  1. Gödel’s Natural Deduction.Kosta Došen & Miloš Adžić - 2018 - Studia Logica 106 (2):397-415.
    This is a companion to a paper by the authors entitled “Gödel on deduction”, which examined the links between some philosophical views ascribed to Gödel and general proof theory. When writing that other paper, the authors were not acquainted with a system of natural deduction that Gödel presented with the help of Gentzen’s sequents, which amounts to Jaśkowski’s natural deduction system of 1934, and which may be found in Gödel’s unpublished notes for the elementary logic course he gave in 1939 (...)
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  • The scope of Turing's analysis of effective procedures.Jeremy Seligman - 2002 - Minds and Machines 12 (2):203-220.
    Turing's (1936) analysis of effective symbolic procedures is a model of conceptual clarity that plays an essential role in the philosophy of mathematics. Yet appeal is often made to the effectiveness of human procedures in other areas of philosophy. This paper addresses the question of whether Turing's analysis can be applied to a broader class of effective human procedures. We use Sieg's (1994) presentation of Turing's Thesis to argue against Cleland's (1995) objections to Turing machines and we evaluate her proposal (...)
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