Fwd: [isabelle] New in the AFP: The Existence of God (again)

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Alexandre Rademaker

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May 2, 2017, 12:44:47 PM5/2/17
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Formally verified proof!

Alexandre 
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From: Lawrence Paulson <lp...@cam.ac.uk>
Date: 2 May 2017 11:58:43 GMT-3
To: isabelle-users <isabell...@cl.cam.ac.uk>
Subject: [isabelle] New in the AFP: The Existence of God (again)

I’m happy to announce a new entry with the following abstract:

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'’.)

With thanks to David Fuenmayor and Christoph Benzmüller. The entry is online at https://www.isa-afp.org/entries/Types_Tableaus_and_Goedels_God.shtml

Checkmate atheists!

Larry Paulson



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