Mechanized Analysis of Anselm's Modal Ontological Argument

Fuente: arXiv
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Main Author: Rushby, John
Format: Preprint
Published: 2022
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author Rushby, John
author_facet Rushby, John
contents 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 philosophy and, in addition, shows how these methods can help detect and rectify errors in modal reasoning. This is a minor update with better typesetting and some small addenda to a paper published in the International Journal for Philosophy of Religion, vol. 89, pp. 135--152, April 2021.
format Preprint
id arxiv_https___arxiv_org_abs_2205_08628
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Mechanized Analysis of Anselm's Modal Ontological Argument
Rushby, John
Logic in Computer Science
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 philosophy and, in addition, shows how these methods can help detect and rectify errors in modal reasoning. This is a minor update with better typesetting and some small addenda to a paper published in the International Journal for Philosophy of Religion, vol. 89, pp. 135--152, April 2021.
title Mechanized Analysis of Anselm's Modal Ontological Argument
topic Logic in Computer Science
url https://arxiv.org/abs/2205.08628