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  1. Alonzo Church’s Contributions to Philosophy and Intensional Logic.C. Anthony Anderson - 1998 - Bulletin of Symbolic Logic 4 (2):129-171.
    §0. Alonzo Church's contributions to philosophy and to that most philosophical part of logic, intensional logic, are impressive indeed. He wrote relatively few papers actually devoted to specifically philosophical issues, as distinguished from related technical work in logic. Many of his contributions appear in reviews for The Journal of Symbolic Logic, and it can hardly be maintained that one finds there a “philosophical system”. But there occur a clearly articulated and powerful methodology, terse arguments, often of “crushing cogency”, and philosophical (...)
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  • A relative consistency proof.Joseph R. Shoenfield - 1954 - Journal of Symbolic Logic 19 (1):21-28.
    LetCbe an axiom system formalized within the first order functional calculus, and letC′ be related toCas the Bernays-Gödel set theory is related to the Zermelo-Fraenkel set theory. Ilse Novak [5] and Mostowski [8] have shown that, ifCis consistent, thenC′ is consistent. Mostowski has also proved the stronger result that any theorem ofC′ which can be formalized inCis a theorem ofC.The proofs of Novak and Mostowski do not provide a direct method for obtaining a contradiction inCfrom a contradiction inC′. We could, (...)
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  • Inner models for set theory – Part III.J. C. Shepherdson - 1953 - Journal of Symbolic Logic 18 (2):145-167.
    In this third and last paper on inner models we consider some of the inherent limitations of the method of using inner models of the type defined in 1.2 for the proof of consistency results for the particular system of set theory under consideration. Roughly speaking this limitation may be described by saying that practically no further consistency results can be obtained by the construction of models satisfying the conditions of theorem 1.5, i.e., conditions 1.31, 1.32, 1.33, 1.51, viz.:This applies (...)
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  • On direct products of theories.Andrzej Mostowski - 1952 - Journal of Symbolic Logic 17 (1):1-31.
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  • A note on nominalism and recursive functions.R. M. Martin - 1949 - Journal of Symbolic Logic 14 (1):27-31.
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  • The work of Kurt gödel.Stephen C. Kleene - 1976 - Journal of Symbolic Logic 41 (4):761-778.
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  • A logical measure function.John G. Kemeny - 1953 - Journal of Symbolic Logic 18 (4):289-308.
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  • An undecidable problem in the algebra of truth-tables.Jan Kalicki - 1954 - Journal of Symbolic Logic 19 (3):172-176.
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  • The completeness of the first-order functional calculus.Leon Henkin - 1949 - Journal of Symbolic Logic 14 (3):159-166.
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  • Carnap a jazyk: z Viedne do Santa Fé.Igor Hanzel - 2007 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 14 (4):470-497.
    The paper reconstructs three main stages in the development of Carnap’s approach to language in the years 1931 – 1947. It starts with Carnap’s approach to metalogic in his Viennese Zirkelprotokolle and his Logische Syntax der Sprache from the point of view of one-level approach to the relation between metalanguage and its object-language. It then analyzes Tarski’s turn to semantics in his paper presented at the Paris conference in September 1935, as well as the implications of his view for Carnap’s (...)
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