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Record ID harvard_bibliographic_metadata/ab.bib.13.20150123.full.mrc:960698611:3059
Source harvard_bibliographic_metadata
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LEADER: 03059nam a22004815a 4500
001 013842978-2
005 20131206203314.0
008 121227s2002 ne | s ||0| 0|eng d
020 $a9789401004114
020 $a9789401004114
020 $a9789401039123
024 7 $a10.1007/978-94-010-0411-4$2doi
035 $a(Springer)9789401004114
040 $aSpringer
050 4 $aBC1-199
072 7 $aHPL$2bicssc
072 7 $aPHI011000$2bisacsh
082 04 $a160$223
100 1 $aFitting, Melvin,$eauthor.
245 10 $aTypes, Tableaus, and Gödel’s God /$cby Melvin Fitting.
264 1 $aDordrecht :$bSpringer Netherlands :$bImprint: Springer,$c2002.
300 $aXV, 181 p.$bonline resource.
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
347 $atext file$bPDF$2rda
490 1 $aTrends in Logic, Studia Logica Library,$x1572-6126 ;$v12
505 0 $aPreface -- 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.
520 $aGödel'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).
650 20 $aMetaphysics.
650 20 $aOntology.
650 20 $aLogic.
650 10 $aPhilosophy.
650 0 $aPhilosophy (General)
650 0 $aLogic.
650 0 $aMetaphysics.
650 0 $aOntology.
650 0 $aPhilosophy.
650 24 $aPhilosophy of Religion.
776 08 $iPrinted edition:$z9789401039123
830 0 $aTrends in Logic, Studia Logica Library ;$v12.
988 $a20131119
906 $0VEN