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Types, Tableaus and Gödel's God in Isabelle/HOL

Christoph Benzmüller, David Fuenmayor – 2017

A computer-formalisation of the essential parts of Fitting's textbook "Types, Tableaus and Gödel's God" in Isabelle/HOL is presented. In particular, Fitting's (and Anderson's) variant of the ontological argument is verified and confirmed. This variant avoids the modal collapse, which has been criticised as an undesirable side-effect of Kurt Gödel's (and Dana Scott's) versions of the ontological argument. Fitting's work is employing an intensional higher-order modal logic, which we shallowly embed here in classical higher-order logic. We then utilize the embedded logic for the formalisation of Fitting's argument. (See also the earlier AFP entry ``Gödel's God in Isabelle/HOL''

Titel
Types, Tableaus and Gödel's God in Isabelle/HOL
Verfasser
Christoph Benzmüller, David Fuenmayor
Datum
2017-05-01
Kennung
ISSN: 2150-914x
Quelle/n
Erschienen in
Archive of Formal Proofs, 2017
BibTeX Code
Bibtex entry URL: bibtexbrowser.local.php?key=J35&bib=chris.bib