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Quantifiers, propositions and identi...

Goldblatt, Robert.

Quantifiers, propositions and identity : = admissible semantics for quantified modal and substructural logics /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Quantifiers, propositions and identity :/ Robert Goldblatt.
其他題名:	admissible semantics for quantified modal and substructural logics /
作者:	Goldblatt, Robert.
出版者:	Cambridge ;Cambridge University Press, : 2011.,
面頁冊數:	xiii, 268 p. ;24 cm.;
標題:	Modality (Logic) -
ISBN:	9781107010529 (cloth) :

Quantifiers, propositions and identity : = admissible semantics for quantified modal and substructural logics /
Goldblatt, Robert.

Quantifiers, propositions and identity :admissible semantics for quantified modal and substructural logics /Robert Goldblatt. - first ed. - Cambridge ;Cambridge University Press,2011. - xiii, 268 p. ;24 cm. - Lecture notes in logic ;38. - Lecture notes in logic ;33..

Includes bibliographical references (p. 251-260) and index.

Introduction and overview -- Chapter 1. Logics with actualist quantifiers -- Chapter 2. The Barcan formulas -- Chapter 3. The existence predicate -- Chapter 4. Propositional functions and predicate substitution -- Chapter 5. Identity -- Chapter 6. Cover semantics for relevant logic.

"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"--

ISBN: 9781107010529 (cloth) :NT2203

LCCN: 2011022157Subjects--Topical Terms:

575158
Modality (Logic)

LC Class. No.: QA9.46 / .G664 2011

Dewey Class. No.: 511.3

Quantifiers, propositions and identity : = admissible semantics for quantified modal and substructural logics /
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300 $a xiii, 268 p. ; $c 24 cm.
490 1 $a Lecture notes in logic ; $v 38
504 $a Includes bibliographical references (p. 251-260) and index.
505 0 # $a Introduction and overview -- Chapter 1. Logics with actualist quantifiers -- Chapter 2. The Barcan formulas -- Chapter 3. The existence predicate -- Chapter 4. Propositional functions and predicate substitution -- Chapter 5. Identity -- Chapter 6. Cover semantics for relevant logic.
520 # $a "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"-- $c Provided by publisher.
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650 # 0 $a Semantics (Philosophy) $3 559949
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