Types, Tableaus, and Goedel's God (Paperback, Softcover reprint of the original 1st ed. 2002)

Godel's modal ontological argument is the centrepiece 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, semantically and through tableau rules, to produce a modified version of Montague/Gallin intensional logic. Extensionality, rigidity, equality, identity, and definite descriptions are investigated. Finally, various ontological proofs for the existence of God are discussed informally, and the Godel argument is fully formalized. Objections to the Godel argument are examined, including one due to Howard Sobel showing Godel's assumptions are so strong that the modal logic collapses. It is shown that this argument depends critically on whether properties are understood intensionally or extensionally.
Parts of the book are mathematical, parts philosophical. A reader interested in (modal) type theory can safely skip ontological issues, just as one interested in Godel's argument can omit the more mathematical portions, such as the completeness proof for tableaus. There should be something for everybody (and perhaps everything for somebody)."

General

Imprint:	Springer
Country of origin:	Netherlands
Series:	Trends in Logic, 12
Release date:	October 2012
First published:	2002
Authors:	M. Fitting
Dimensions:	240 x 160 x 11mm (L x W x T)
Format:	Paperback
Pages:	181
Edition:	Softcover reprint of the original 1st ed. 2002
ISBN-13:	978-9401039123
Categories:	Books > Humanities > Philosophy > Topics in philosophy > Metaphysics & ontology Books > Humanities > Philosophy > Topics in philosophy > Logic Books > Humanities > Religion & beliefs > General > Philosophy of religion > General Books > Philosophy > Topics in philosophy > Logic Books > Philosophy > Topics in philosophy > Metaphysics & ontology Books > Religion & Spirituality > General > Philosophy of religion > General Promotions
LSN:	9401039127
Barcode:	9789401039123

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