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  1. Mechanized analysis of Anselm’s modal ontological argument.John Rushby - forthcoming - International Journal for Philosophy of Religion:1-18.
    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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  • Gödel’s Second Theorem and the Provability of God’s Existence.Meir Buzaglo - 2019 - Logica Universalis 13 (4):541-549.
    According to a common view, belief in God cannot be proved and is an issue that must be left to faith. Kant went even further and argued that he can prove this unprovability. But any argument implying that a certain sentence is not provable is challenged by Gödel’s second theorem. Indeed, one trivial consequence of GST is that for any formal system F that satisfies certain conditions and for every sentence K that is formulated in F it is impossible to (...)
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  • The Totality of Predicates and the Possibility of the Most Real Being.Srećko Kovač - 2018 - Journal of Applied Logics - The IfCoLog Journal of Logics and Their Applications 5 (7):1523-1552.
    We claim that Kant's doctrine of the "transcendental ideal of pure reason" contains, in an anticipatory sense, a second-order theory of reality (as a second-order property) and of the highest being. Such a theory, as reconstructed in this paper, is a transformation of Kant's metatheoretical regulative and heuristic presuppositions of empirical theories into a hypothetical ontotheology. We show that this metaphysical theory, in distinction to Descartes' and Leibniz's ontotheology, in many aspects resembles Gödel's theoretical conception of the possibility of a (...)
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  • A Case Study on Computational Hermeneutics: E. J. Lowe’s Modal Ontological Argument.David Fuenmayor & Christoph Benzmueller - manuscript
    Computers may help us to better understand (not just verify) arguments. In this article we defend this claim by showcasing the application of a new, computer-assisted interpretive method to an exemplary natural-language ar- gument with strong ties to metaphysics and religion: E. J. Lowe’s modern variant of St. Anselm’s ontological argument for the existence of God. Our new method, which we call computational hermeneutics, has been particularly conceived for use in interactive-automated proof assistants. It aims at shedding light on the (...)
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