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  1. The Divine Fractal: 1st Order Extensional Theology.Paul Studtmann - 2021 - Philosophia 50 (1):285-305.
    In this paper, I present what I call the symmetry conception of God within 1st order, extensional, non-well-founded set theory. The symmetry conception comes in two versions. According to the first, God is that unique being that is universally symmetrical with respect to set membership. According to the second, God is the universally symmetrical set of all sets that are universally symmetrical with respect to set membership. I present a number of theorems, most importantly that any universally symmetrical set is (...)
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  • Pruss's ontological arguments.Graham Oppy - 2009 - Religious Studies 45 (3):355-363.
    First, I suggest that it is possible to make some further improvements upon the Gödelian ontological arguments that Pruss develops. Then, I argue that it is possible to parody Pruss's Gödelian ontological arguments in a way that shows that they make no contribution towards 'lowering the probability of atheism and raising the probability of theism'. I conclude with some remarks about ways in which the arguments of this paper can be extended to apply to the whole family of Gödelian ontological (...)
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  • Higher-order ontological arguments.Graham Oppy - 2008 - Philosophy Compass 3 (5):1066-1078.
    This paper discusses recent work on higher-order ontological arguments, including work on arguments due to Gödel, Maydole and Pruss. After setting out a range of these arguments, the paper seeks to highlight the principal difficulties that these kinds of arguments confront. One important aim of the paper is to cast light on Gödel's ontological argument by way of an examination of a range of related higher-order arguments.
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  • What ontological arguments don’t show.Mylan Engel - 2020 - International Journal for Philosophy of Religion 88 (1):97-114.
    Daniel Dombrowski contends that: a number of versions of the ontological argument [OA] are sound; the deity whose existence is most well established by the OA is the deity picked out by Hartshorne’s neoclassical concept of God; skeptics who insist that the OA only shows that “if God exists, then God exists necessarily” are contradicting themselves, and the OA is worth a great deal since it effectively demonstrates the rationality of theism. I argue that theses and are clearly false and (...)
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  • Giving the Ontological Argument Its Due.C’Zar Bernstein - 2014 - Philosophia 42 (3):665-679.
    In this paper, I shall present and defend an ontological argument for the existence of God. The argument has two premises: possibly, God exists, and necessary existence is a perfection. I then defend, at length, arguments for both of these premises. Finally, I shall address common objections to ontological arguments, such as the Kantian slogan, and Gaunilo-style parodies, and argue that they do not succeed. I conclude that there is at least one extant ontological argument that is plausibly sound.
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  • Ontological arguments.Graham Oppy - 2014 - Stanford Encyclopedia of Philosophy.
    Latest version of my SEP entry on ontological arguments, which first appeared in 1996. General discussion of ontological arguments. Includes a brief historical overview, a taxonomy of different kinds of ontological arguments, a brief survey of objections to the different kinds of ontological arguments identified in the taxonomy, and more extended discussions of Anselm's ontological argument (Proslogion 2), Godel's ontological argument, and Plantinga's ontological argument.
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  • How Gödelian Ontological Arguments Fail.Matthew Parker - manuscript
    Ontological arguments like those of Gödel (1995) and Pruss (2009; 2012) rely on premises that initially seem plausible, but on closer scrutiny are not. The premises have modal import that is required for the arguments but is not immediately grasped on inspection, and which ultimately undermines the simpler logical intuitions that make the premises seem plausible. Furthermore, the notion of necessity that they involve goes unspecified, and yet must go beyond standard varieties of logical necessity. This leaves us little reason (...)
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