The Resource Quantifiers, propositions and identity : admissible semantics for quantified modal and substructural logics, Robert Goldblatt, (electronic resource)

Quantifiers, propositions and identity : admissible semantics for quantified modal and substructural logics, Robert Goldblatt, (electronic resource)

Label
Quantifiers, propositions and identity : admissible semantics for quantified modal and substructural logics
Title
Quantifiers, propositions and identity
Title remainder
admissible semantics for quantified modal and substructural logics
Statement of responsibility
Robert Goldblatt
Creator
Subject
Language
eng
Summary
"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"--
Member of
Assigning source
Provided by publisher
Cataloging source
DLC
http://library.link/vocab/creatorName
Goldblatt, Robert
Dewey number
511.3
Index
index present
LC call number
QA9.46
LC item number
.G664 2011
Literary form
non fiction
Nature of contents
bibliography
Series statement
Lecture notes in logic
Series volume
38
http://library.link/vocab/subjectName
  • Modality (Logic)
  • Variables (Mathematics)
  • Semantics (Philosophy)
  • Logic, Symbolic and mathematical
Label
Quantifiers, propositions and identity : admissible semantics for quantified modal and substructural logics, Robert Goldblatt, (electronic resource)
Instantiates
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
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
Extent
1 online resource (xiii, 268 pages)
Form of item
online
Isbn
9781139098427
Media category
computer
Media type code
  • c
Other physical details
digital, PDF file(s).
Specific material designation
remote
System control number
  • (CKB)2550000000061518
  • (SSID)ssj0000572645
  • (PQKBManifestationID)11370651
  • (PQKBTitleCode)TC0000572645
  • (PQKBWorkID)10529761
  • (PQKB)10877409
  • (UkCbUP)CR9780511862359
  • (MiAaPQ)EBC3004586
  • (EXLCZ)992550000000061518
Label
Quantifiers, propositions and identity : admissible semantics for quantified modal and substructural logics, Robert Goldblatt, (electronic resource)
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
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
Extent
1 online resource (xiii, 268 pages)
Form of item
online
Isbn
9781139098427
Media category
computer
Media type code
  • c
Other physical details
digital, PDF file(s).
Specific material designation
remote
System control number
  • (CKB)2550000000061518
  • (SSID)ssj0000572645
  • (PQKBManifestationID)11370651
  • (PQKBTitleCode)TC0000572645
  • (PQKBWorkID)10529761
  • (PQKB)10877409
  • (UkCbUP)CR9780511862359
  • (MiAaPQ)EBC3004586
  • (EXLCZ)992550000000061518

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