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

"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 c...

Full description

Bibliographic Details
Main Author: Goldblatt, Robert
Format: Printed Book
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.
LEADER 02852cam a2200361 a 4500
008 110523s2011 enk b 001 0 eng
999 |c 333965  |d 333965 
010 |a  2011022157 
016 7 |a 015771875  |2 Uk 
020 |a 9781107010529 (hardback) 
020 |a 1107010527 (hardback) 
035 |a (OCoLC)ocn714729267 
042 |a pcc 
082 0 0 |a 511.3  |2 23 
084 |a MAT018000  |2 bisacsh 
100 1 |a Goldblatt, Robert. 
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 p. ;  |c 24 cm. 
490 1 |a Lecture notes in logic ;  |v 38 
504 |a Includes bibliographical references (p. 251-260) and index. 
505 0 |a Introduction and overview -- Chapter 1. Logics with actualist quantifiers -- Chapter 2. The Barcan formulas -- Chapter 3. The existence predicate -- Chapter 4. Propositional functions and predicate substitution -- Chapter 5. Identity -- Chapter 6. Cover semantics for relevant logic. 
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"-- 
650 0 |a Modality (Logic) 
650 0 |a Variables (Mathematics) 
650 0 |a Semantics (Philosophy) 
650 0 |a Logic, Symbolic and mathematical. 
942 |c BK 
830 0 |a Lecture notes in logic ;  |v 38. 
906 |a 7  |b cbc  |c orignew  |d 1  |e ecip  |f 20  |g y-gencatlg 
955 |b rg11 2011-05-23 (telework)  |c rg11 2011-05-23 ONIX (telework) to Gen Scie/Tech (STM)  |a xe10 2011-11-15 2 copies rec'd., to CIP ver. 
952 |0 0  |1 0  |2 ddc  |4 0  |6 511_300000000000000  |7 0  |9 381845  |a MAT  |b MAT  |c ST1  |d 2019-04-11  |i 7300  |l 0  |o 511.3  |p MAT7300  |r 2019-04-11  |w 2019-04-11  |y BK 
952 |0 0  |1 0  |2 ddc  |4 0  |6 511_300000000000000  |7 0  |9 383486  |a MAT  |b MAT  |c ST1  |d 2019-05-13  |i 6026  |l 0  |o 511.3  |p MAT6026  |r 2019-05-13  |w 2019-05-13  |y BK 

Similar Items