Quantifiers, Propositions and Identity: Admissible Semantics for Quantified Modal and Substructural Logics (Lecture Notes in Logic, Series Number 38). This item is unavailable.Quantifiers, Propositions and Identity: Admissible Semantics for Quantified Modal and Substructural Logics (Lecture Notes in Logic, Series Number 38)

Cambridge & New York: Cambridge University Press, 2011. HARDCOVER. NOT a library discard. We have only this one copy, but it is available now and ready to ship today from Henderson, Nevada. Near Fine condition. Sharp corners. Square and tight. NO owner's name or bookplate. Pages are crisp, clean and unmarked -- apparently seldom, if ever read. NO underlining. NO highlighting. NO margin notes. First printing with "First published 2011" so stated on the copyright page. Bound in the original blue and white laminated boards. GoodReads rating: 4.00 stars. From the publisher: "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.". First Printing of the First Edition. Hardcover. Near Fine condition/No dust jacket, as issued. Illus. by NOT a library discard. 8vo. xiii, 268pp. Great Packaging, Fast Shipping.…