Exploring Simplified Variants of Gödel’s Ontological Argument in Isabelle/HOL

 

Title: Exploring Simplified Variants of Gödel’s Ontological Argument in Isabelle/HOL
Author: Christoph Benzmüller
Submission date: 2021-11-08
Abstract:

Simplified variants of Gödel's ontological argument are explored. Among those is a particularly interesting simplified argument which is (i) valid already in basic modal logics K or KT, (ii) which does not suffer from modal collapse, and (iii) which avoids the rather complex predicates of essence (Ess.) and necessary existence (NE) as used by Gödel.

Whether the presented variants increase or decrease the attractiveness and persuasiveness of the ontological argument is a question I would like to pass on to philosophy and theology.

BibTeX:
@article{SimplifiedOntologicalArgument-AFP,
  author  = {Christoph Benzmüller},
  title   = {Exploring Simplified Variants of Gödel’s Ontological Argument in Isabelle/HOL},
  journal = {Archive of Formal Proofs},
  month   = nov,
  year    = 2021,
  note    = {\url{https://isa-afp.org/entries/SimplifiedOntologicalArgument.html},
            Formal proof development},
  ISSN    = {2150-914x},
}
License: BSD License
Status: [ok] This is a development version of this entry. It might change over time and is not stable. Please refer to release versions for citations.