Mechanized analysis of Anselm’s modal ontological argument

International Journal for Philosophy of Religion 89 (2):135-152 (2020)
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Abstract

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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References found in this work

A New Introduction to Modal Logic.M. J. Cresswell & G. E. Hughes - 1996 - New York: Routledge. Edited by M. J. Cresswell.
Beyond the Limits of Thought.Graham Priest - 1995 - Cambridge, England: Cambridge University Press.
Anselm and actuality.David K. Lewis - 1970 - Noûs 4 (2):175-188.
A New Introduction to Modal Logic.G. E. Hughes & M. J. Cresswell - 1996 - Studia Logica 62 (3):439-441.
Anselm's ontological arguments.Norman Malcolm - 1960 - Philosophical Review 69 (1):41-62.

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