Automating Emendations of the Ontological Argument in Intensional Higher-Order Modal Logic [chapter]

David Fuenmayor, Christoph Benzmüller
2017 Lecture Notes in Computer Science  
A shallow semantic embedding of an intensional higher-order modal logic (IHOML) in Isabelle/HOL is presented. IHOML draws on Montague/Gallin intensional logics and has been introduced by Melvin Fitting in his textbook Types, Tableaus and Gödel's God in order to discuss his emendation of Gödel's ontological argument for the existence of God. Utilizing IHOML, the most interesting parts of Fitting's textbook are formalized, automated and verified in the Isabelle/HOL proof assistant. A particular
more » ... cus thereby is on three variants of the ontological argument which avoid the modal collapse, which is a strongly criticized side-e↵ect in Gödel's resp. Scott's original work.
doi:10.1007/978-3-319-67190-1_9 fatcat:tiflccsgsndsrgn5cpvweo4tdq