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goldblatt r quantifiers propositions identity logics 2011

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Textbook in PDF format 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

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Goldblatt R. Quantifiers, Propositions and Identity...Logics 2011.pdf 1.2 MB

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goldblatt r quantifiers propositions identity logics 2011

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