Quantifiers, Propositions and Identity

Name: Quantifiers, Propositions and Identity
Brand: Cambridge University Press
SKU: 9781107010529
Price: 147.0 EUR
Availability: InStock

Admissible Semantics for Quantified Modal and Substructural Logics

Autor: Robert Goldblatt

Jazyk:

Väzba: Pevná

Vydavateľ: Cambridge University Press

Dostupnosť: Skladom u dodávateľa

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147.00 €

Many systems of quantified modal logic cannot be characterised by Kripke's well-known possible world...

Informácie o knihe

Autor

Robert Goldblatt

Jazyk

Angličtina

Väzba

Kniha - Pevná

Vydalo

2011

Stránok

282

EAN

9781107010529

ISBN

1107010527

Enbook ID

04385543

Vydavateľ

Cambridge University Press

Hmotnosť

528

Rozmery

235 x 163 x 20

Kompletný popis

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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Quantifiers, Propositions and Identity

Admissible Semantics for Quantified Modal and Substructural Logics

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