عنوان

Types, Tableaus, and Gödel's God /

(Number (ISBN

9401004110

(Number (ISBN

9789401004114

Erroneous ISBN

9401004110

Erroneous ISBN

9401039127

Erroneous ISBN

9789401039123

Title Proper

Types, Tableaus, and Gödel's God /

General Material Designation

[Book]

First Statement of Responsibility

by Melvin Fitting.

Place of Publication, Distribution, etc.

Dordrecht :

Name of Publisher, Distributor, etc.

Springer Netherlands,

Date of Publication, Distribution, etc.

2002.

Specific Material Designation and Extent of Item

1 online resource (xv, 181 pages)

Series Title

Trends in Logic, Studia Logica Library,

Volume Designation

12

ISSN of Series

1572-6126 ;

Text of Note

Preface -- Part I: Classical Logic. 1. Classical Logic -- Syntax. 2. Classical Logic -- Semantics. 3. Classical Logic -- Basic Tableaus. 4. Soundness and Completeness. 5. Equality. 6. Extensionality -- Part II: Modal Logic. 7. Modal Logic, Syntax and Semantics. 8. Modal Tableaus. 9. Miscellaneous Matters -- Part III: Ontological Arguments. 10. Gödel's Argument, Background. 11. Gödel's Argument, Formally -- References -- Index.

0

Text of Note

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 safely skip 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).

International Standard Book Number

9789401039123

Logic.

Metaphysics.

Ontology.

Philosophy (General)

Philosophy.

Logic.

Metaphysics.

Ontology.

Philosophy.

HPL

PHI011000

Number

Edition

Class number

Fitting, Melvin.

Date of Transaction

20200823215233.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y