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Trends in Logic

Types, Tableaus, and Gödel’s God

Authors: Fitting, M.

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About this book

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).

Table of contents (11 chapters)

Buy this book

eBook $84.99
price for Mexico (gross)
  • ISBN 978-94-010-0411-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.00
price for Mexico
  • ISBN 978-1-4020-0604-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.00
price for Mexico
  • ISBN 978-94-010-3912-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Types, Tableaus, and Gödel’s God
Authors
Series Title
Trends in Logic
Series Volume
12
Copyright
2002
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-94-010-0411-4
DOI
10.1007/978-94-010-0411-4
Hardcover ISBN
978-1-4020-0604-3
Softcover ISBN
978-94-010-3912-3
Series ISSN
1572-6126
Edition Number
1
Number of Pages
XV, 181
Topics