Reference : Types, Tableaus and Gödel's God in Isabelle/HOL
Scientific journals : Article
Engineering, computing & technology : Computer science
Arts & humanities : Philosophy & ethics
Arts & humanities : Religion & theology
Computational Sciences
Types, Tableaus and Gödel's God in Isabelle/HOL
Fuenmayor, David [Freie Universität Berlin > Philosophy]
Benzmüller, Christoph mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Computer Science and Communications Research Unit (CSC)]
Archive of Formal Proofs
[en] Computational Metaphysics ; Automated Reasoning ; Interactive Proof ; Ontology Reasoning ; Higher Order Logic
[en] 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''.)
Researchers ; Professionals ; Students
This publication is machine verified with Isabelle/HOL

File(s) associated to this reference

Fulltext file(s):

Open access
document.pdfPublisher postprint291.3 kBView/Open

Bookmark and Share SFX Query

All documents in ORBilu are protected by a user license.