
Types, Tableaus, and Gödel's God
M. Fitting(Author)
Kluwer Academic Publishers
Published on 31. May 2002
Book
Hardback
XV, 181 pages
978-1-4020-0604-3 (ISBN)
Description
Gödel'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 Gödel argument is fully formalized. Objections to the Gödel argument are examined, including one due to Howard Sobel showing Gödel'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 safelyskip ontological issues, just as one interested in Gödel'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).
Parts of the book are mathematical, parts philosophical. A reader interested in (modal) type theory can safelyskip ontological issues, just as one interested in Gödel'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).
More details
Series
Edition
2002 ed.
Language
English
Place of publication
Dordrecht
Netherlands
Target group
Professional and scholarly
Research
Product notice
sewn/stitched
Cloth over boards
Illustrations
XV, 181 p.
Dimensions
Height: 251 mm
Width: 159 mm
Thickness: 16 mm
Weight
458 gr
ISBN-13
978-1-4020-0604-3 (9781402006043)
DOI
10.1007/978-94-010-0411-4
Schweitzer Classification
Other editions
Additional editions

Content
I Classical Logic.- Classical Logic-Syntax.- Classical Logic-Semantics.- Classical Logic-Basic Tableaus.- Soundness And Completeness.- Equality.- Extensionality.- II Modal Logic.- Modal Logic, Syntax And Semantics.- Modal Tableaus.- Miscellaneous Matters.- III Ontological Arguments.- Godel's Argument, Background.- Godel's Argument, Formally.- References.