000			02167 a2200277 4500
010			_a 2011022157
020			_a9781107010529 (hardback)
020			_a1107010527 (hardback)
035			_a
082	0	0	_a511.3
084			_2bisacsh
090			_c29830 _d29830
100	1		_aGoldblatt, Robert
245	1	0	_aQuantifiers, propositions and identity _badmissible semantics for quantified modal and substructural logics _cRobert Goldblatt
260			_aCambridge _aNew York _bCambridge University Press _c2011
300			_axiii, 268 p _c24 cm
490	1		_aLecture notes in logic _v38
505	0		_aIntroduction 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"--
650		0	_aModality (Logic)
650		0	_aVariables (Mathematics)
650		0	_aSemantics (Philosophy)
650		0	_aLogic, Symbolic and mathematical
830		0	_aLecture notes in logic
942			_aIMAR _cCART _sRM
999			_c29532 _d29532