LEADER 03440nam 22006492 450 001 9910457518803321 005 20151005020622.0 010 $a1-139-09842-X 010 $a1-139-09910-8 010 $a1-139-10178-1 010 $a1-139-09978-7 010 $a0-511-86235-0 035 $a(CKB)2550000000061518 035 $a(SSID)ssj0000572645 035 $a(PQKBManifestationID)11370651 035 $a(PQKBTitleCode)TC0000572645 035 $a(PQKBWorkID)10529761 035 $a(PQKB)10877409 035 $a(UkCbUP)CR9780511862359 035 $a(MiAaPQ)EBC3004586 035 $a(Au-PeEL)EBL3004586 035 $a(CaPaEBR)ebr10576303 035 $a(OCoLC)923617216 035 $a(EXLCZ)992550000000061518 100 $a20101105d2011|||| uy| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aQuantifiers, propositions and identity $eadmissible semantics for quantified modal and substructural logics /$fRobert Goldblatt$b[electronic resource] 210 1$aCambridge :$cCambridge University Press,$d2011. 215 $a1 online resource (xiii, 268 pages) $cdigital, PDF file(s) 225 1 $aLecture notes in logic ;$v38 300 $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). 311 $a1-107-01052-7 320 $aIncludes bibliographical references and index. 327 $aIntroduction 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. 330 $aMany systems of quantified modal logic cannot be characterised by Kripke's well-known possible worlds semantic analysis. This book shows how they can be characterised by a more general 'admissible semantics', using models in which there is a restriction on which sets of worlds count as propositions. This requires a new interpretation of quantifiers that takes into account the admissibility of propositions. The author sheds new light on the celebrated Barcan Formula, whose role becomes that of legitimising the Kripkean interpretation of quantification. The theory is worked out for systems with quantifiers ranging over actual objects, and over all possibilia, and for logics with existence and identity predicates and definite descriptions. The final chapter develops a new admissible 'cover semantics' for propositional and quantified relevant logic, adapting ideas from the Kripke-Joyal semantics for intuitionistic logic in topos theory. This book is for mathematical or philosophical logicians, computer scientists and linguists. 410 0$aLecture notes in logic ;$v38. 517 3 $aQuantifiers, Propositions & Identity 606 $aModality (Logic) 606 $aVariables (Mathematics) 606 $aSemantics (Philosophy) 606 $aLogic, Symbolic and mathematical 615 0$aModality (Logic) 615 0$aVariables (Mathematics) 615 0$aSemantics (Philosophy) 615 0$aLogic, Symbolic and mathematical. 676 $a511.3 700 $aGoldblatt$b Robert$047246 801 0$bUkCbUP 801 1$bUkCbUP 906 $aBOOK 912 $a9910457518803321 996 $aQuantifiers, propositions and identity$92477869 997 $aUNINA