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Quantifiers, Propositions and Identity: Admissible Semantics for Quantified Modal and Substructural Logics by Robert Goldblatt (Hardcover, 2011)
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9781107010529, Cambridge University Press. 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.