03482nam 2200685Ia 450 991082795140332120200520144314.01-139-09842-X1-139-09910-81-139-10178-11-139-09978-70-511-86235-0(CKB)2550000000061518(SSID)ssj0000572645(PQKBManifestationID)11370651(PQKBTitleCode)TC0000572645(PQKBWorkID)10529761(PQKB)10877409(UkCbUP)CR9780511862359(MiAaPQ)EBC3004586(Au-PeEL)EBL3004586(CaPaEBR)ebr10576303(OCoLC)923617216(PPN)261325310(EXLCZ)99255000000006151820110523d2011 uy 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierQuantifiers, propositions and identity admissible semantics for quantified modal and substructural logics /Robert Goldblatt1st ed.Cambridge ;New York Cambridge University Press20111 online resource (xiii, 268 pages) digital, PDF file(s)Lecture notes in logic ;38Title from publisher's bibliographic system (viewed on 05 Oct 2015).1-107-01052-7 Includes bibliographical references and index.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.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.Lecture notes in logic ;38.Modality (Logic)Variables (Mathematics)Semantics (Philosophy)Logic, Symbolic and mathematicalModality (Logic)Variables (Mathematics)Semantics (Philosophy)Logic, Symbolic and mathematical.511.3MAT018000bisacshGoldblatt Robert47246MiAaPQMiAaPQMiAaPQBOOK9910827951403321Quantifiers, propositions and identity4028205UNINA