Types, Tableaus, and Gödel’s God

Types, Tableaus, and Gödel’s God

M. Fitting

134,35 €
IVA incluido
Disponible
Editorial:
Springer Nature B.V.
Año de edición:
2012
Materia
Filosofía de la religión
ISBN:
9789401039123
134,35 €
IVA incluido
Disponible

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Gödel’s modal ontological argument is the centerpiece of an extensive examination of intensional logic. First, classical type theory is presented semantically, tableau rules for it are introduced, and the Prawitz/Takahashi completeness proof is given. Then modal machinery is added to produce a modified version of Montague/Gallin intensional logic. Finally, various ontological proofs for the existence of God are discussed informally, and the Gödel argument is fully formalized. Parts of the book are mathematical, parts philosophical.

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    'Necessity is the mother of invention. ' Part I: What is in this book - details. There are several different types of formal proof procedures that logicians have invented. The ones we consider are: 1) tableau systems, 2) Gentzen sequent calculi, 3) natural deduction systems, and 4) axiom systems. We present proof procedures of each of these types for ...