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Quantifiers, Propositions and Identity: Admissible Semantics for Quantified
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Quantifiers, Propositions and Identity: Admissible Semantics for Quantified Modal and Substructural Logics Hardback - 2011

by Robert Goldblatt

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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.

Details

  • Title Quantifiers, Propositions and Identity: Admissible Semantics for Quantified Modal and Substructural Logics
  • Author Robert Goldblatt
  • Binding Hardback
  • Edition First Edition
  • Pages 282
  • Volumes 1
  • Language ENG
  • Publisher Cambridge University Press, Cambridge
  • Publication date 2011-07-14
  • Features Bibliography, Index
  • ISBN 9781107010529 / 1107010527
  • Weight 1.15 lbs (0.52 kg)
  • Dimensions 9 x 6 x 0.8 in (22.86 x 15.24 x 2.03 cm)
  • Category Mathematics
  • Library of Congress subjects Logic, Symbolic and mathematical, Modality (Logic)
  • Library of Congress Catalogue Number 2011022157
  • Dewey Decimal Code 511.3
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Hardcover. New. New Book; Fast Shipping from UK; Not signed; Not First Edition; Develops new semantical characterisations of many logical systems with quantification that are incomplete under the traditional Kripkean possible worlds interpretation. This book is for mathematical or philosophical logicians, computer
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QUANTIFIERS PROPOSITIONS AND IDENTITY (HB 2011)
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QUANTIFIERS PROPOSITIONS AND IDENTITY (HB 2011)

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