Quantifiers, propositions and identity : admissible semantics for quantified modal and substructural logics / Robert Goldblatt.

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"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...

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Bibliographic Details
Main Author: Goldblatt, Robert
Language:English
Published: Cambridge ; New York : Cambridge University Press, 2011.
Series:Lecture notes in logic ; 38.
Subjects:
Modality (Logic)
Variables (Mathematics)
Semantics (Philosophy)
Logic, Symbolic and mathematical.
Physical Description:xiii, 268 pages ; 24 cm.
Format: Book

MARC

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100 1 |a Goldblatt, Robert.  |0 http://id.loc.gov/authorities/names/n78048446 
245 1 0 |a Quantifiers, propositions and identity :  |b admissible semantics for quantified modal and substructural logics /  |c Robert Goldblatt. 
260 |a Cambridge ;  |a New York :  |b Cambridge University Press,  |c 2011. 
300 |a xiii, 268 pages ;  |c 24 cm. 
336 |a text  |b txt  |2 rdacontent 
337 |a unmediated  |b n  |2 rdamedia 
338 |a volume  |b nc  |2 rdacarrier 
490 1 |a Lecture notes in logic ;  |v 38 
504 |a Includes bibliographical references and index. 
505 8 |a Machine generated contents note: 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. 
520 |a "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"--  |c Provided by publisher. 
650 0 |a Modality (Logic)  |0 http://id.loc.gov/authorities/subjects/sh85086410 
650 0 |a Variables (Mathematics)  |0 http://id.loc.gov/authorities/subjects/sh85142090 
650 0 |a Semantics (Philosophy)  |0 http://id.loc.gov/authorities/subjects/sh85119877 
650 0 |a Logic, Symbolic and mathematical.  |0 http://id.loc.gov/authorities/subjects/sh85078115 
830 0 |a Lecture notes in logic ;  |v 38.  |0 http://id.loc.gov/authorities/names/n93082404 
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952 f f |p Can Circulate  |a Michigan State University-Library of Michigan  |b Michigan State University  |c MSU Remote Storage  |d MSU Remote Storage  |t 0  |e QA9.46 .G664 2011  |h Library of Congress classification  |i Printed Material  |m 31293007215993  |n 1