Skip to content
Open global navigation

Cambridge University Press

AcademicLocation selectorSearch toggleMain navigation toggle
Cart
Register Sign in Wishlist
Quantifiers, Propositions and Identity

Quantifiers, Propositions and Identity
Admissible Semantics for Quantified Modal and Substructural Logics

$80.00 (C)

Part of Lecture Notes in Logic

  • Date Published: August 2011
  • availability: In stock
  • format: Hardback
  • isbn: 9781107010529

$80.00 (C)
Hardback

Add to cart Add to wishlist

Other available formats:
eBook


Looking for an examination copy?

This title is not currently available for examination. However, if you are interested in the title for your course we can consider offering an examination copy. To register your interest please contact collegesales@cambridge.org providing details of the course you are teaching.

Description
Product filter button
Description
Contents
Resources
About the Authors
  • Many systems of quantified modal logic cannot be characterised by Kripke's well-known possible worlds semantic analysis. This book shows how they can be characterised by a more general 'admissible semantics', using models in which there is a restriction on which sets of worlds count as propositions. This requires a new interpretation of quantifiers that takes into account the admissibility of propositions. The author sheds new light on the celebrated Barcan Formula, whose role becomes that of legitimising the Kripkean interpretation of quantification. The theory is worked out for systems with quantifiers ranging over actual objects, and over all possibilia, and for logics with existence and identity predicates and definite descriptions. The final chapter develops a new admissible 'cover semantics' for propositional and quantified relevant logic, adapting ideas from the Kripke–Joyal semantics for intuitionistic logic in topos theory. This book is for mathematical or philosophical logicians, computer scientists and linguists.

    • Carefully written with attention to motivation, this book is accessible to advanced students as well as researchers
    • Provides clear explanation of the background as well as new ideas
    • Introduces a new theory of 'admissible semantics' for logical systems with quantifiers
    • The author's new theory of 'cover semantics' is an attractive alternative to existing semantical theories
    Read more

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity

    ×

    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?

    ×

    Product details

    • Date Published: August 2011
    • format: Hardback
    • isbn: 9781107010529
    • length: 282 pages
    • dimensions: 235 x 160 x 19 mm
    • weight: 0.52kg
    • availability: In stock
  • Table of Contents

    Introduction and overview
    1. Logics with actualist quantifiers
    2. The Barcan formulas
    3. The existence predicate
    4. Propositional functions and predicate substitution
    5. Identity
    6. Cover semantics for relevant logic
    References
    Index.

  • Author

    Robert Goldblatt, Victoria University of Wellington
    Robert Goldblatt is a Professor of Pure Mathematics at the Victoria University of Wellington, New Zealand, and a Fellow of the Royal Society of New Zealand. He has served as the Co-ordinating Editor of the Journal of Symbol Logic and has been a Managing Editor of Studia Logica for the past two decades.

Sign In

Please sign in to access your account

Cancel

Not already registered? Create an account now. ×

You are now leaving the Cambridge University Press website, your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Find content that relates to you

Join us online

© Cambridge University Press 2014

Back to top

Are you sure you want to delete your account?

This cannot be undone.

Cancel Delete

Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

×
Please fill in the required fields in your feedback submission.
×