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  1. Logic and Theism: Arguments for and Against Beliefs in God.Jordan Howard Sobel - 2003 - New York: Cambridge University Press. Edited by Jordan Howard Sobel.
    This is a wide-ranging 2004 book about arguments for and against beliefs in God. The arguments for the belief are analysed in the first six chapters and include ontological arguments from Anselm to Gödel, the cosmological arguments of Aquinas and Leibniz, and arguments from evidence for design and miracles. The next two chapters consider arguments against belief. The last chapter examines Pascalian arguments for and against belief in God. There are discussions of Cantorian problems for omniscience, of challenges to divine (...)
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  • A computationally-discovered simplification of the ontological argument.Paul Oppenheimer & Edward N. Zalta - 2011 - Australasian Journal of Philosophy 89 (2):333 - 349.
    The authors investigated the ontological argument computationally. The premises and conclusion of the argument are represented in the syntax understood by the automated reasoning engine PROVER9. Using the logic of definite descriptions, the authors developed a valid representation of the argument that required three non-logical premises. PROVER9, however, discovered a simpler valid argument for God's existence from a single non-logical premise. Reducing the argument to one non-logical premise brings the investigation of the soundness of the argument into better focus. Also, (...)
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  • A new small emendation of gödel's ontological proof.Petr Hájek - 2002 - Studia Logica 71 (2):149 - 164.
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  • The Higher-Order Prover LEO-II.Christoph Benzmüller, Nik Sultana, Lawrence C. Paulson & Frank Theiß - 2015 - Journal of Automated Reasoning 55 (4):389-404.
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  • A completeness theorem in second order modal logic.Nino B. Cocchiarella - 1969 - Theoria 35 (2):81-103.
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