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  1. Artificial Intelligence and in God's Existence: Connecting Philosophy of Religion and Computation.Andrea Vestrucci - 2022 - Zygon 57 (4):1000-1018.
    The exploration of metaphysical arguments in the symbolic AI environment provides clarification and raises unexpected questions about notions in philosophy of religion and theology. Recent attempts to apply automatic theorem prover technology to Anselm's ontological argument have led to a simplification of the argument. This computationally discovered simplification has given rise to logical observations. The article assesses one of these observations: the application of the diagonal method (in Cantor's version) to Anselm's argument. The evaluation of the applications of theorem provers (...)
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  • Mechanized analysis of Anselm’s modal ontological argument.John Rushby - 2020 - International Journal for Philosophy of Religion 89 (2):135-152.
    We use a mechanized verification system, PVS, to examine the argument from Anselm’s Proslogion Chapter III, the so-called “Modal Ontological Argument.” We consider several published formalizations for the argument and show they are all essentially similar. Furthermore, we show that the argument is trivial once the modal axioms are taken into account. This work is an illustration of Computational Philiosophy and, in addition, shows how these methods can help detect and rectify errors in modal reasoning.
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  • On the PROVER9 Ontological Argument.T. Parent - 2015 - Philosophia 43 (2):475-483.
    Oppenheimer & Zalta have re-formulated their non-modal version of the ontological argument, with the help of PROVER9, an automated reasoning engine. The authors end up rejecting the new argument; however, the theist has a rejoinder worth considering. But after presenting the rejoinder, I highlight that the conceivability of the being does not imply its possibility. One lesson is that even non-modal ontological arguments must engage modal matters concerning God. Another lesson is that if PROVER9 is able to derive a conclusion (...)
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  • On Anselm’s Ontological Argument in Proslogion II.Paul E. Oppenheimer & Edward N. Zalta - 2021 - History of Philosophy & Logical Analysis 25 (2):327-351.
    Formulations of Anselm’s ontological argument have been the subject of a number of recent studies. We examine these studies in light of Anselm’s text and (a) respond to criticisms that have surfaced in reaction to our earlier representations of the argument, (b) identify and defend a more refined representation of Anselm’s argument on the basis of new research, and (c) compare our representation of the argument, which analyzes that than which none greater can be conceived as a definite description, to (...)
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  • Anselm's God in Isabelle/HOL.Ben Blumson - 2017 - Archive of Formal Proofs:9.
    Paul Oppenheimer and Edward Zalta's formalisation of Anselm's ontological argument for the existence of God is automated by embedding a free logic for definite descriptions within Isabelle/HOL.
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