Plural logic /

Alex Oliver and Timothy Smiley provide an account of plural logic. They argue that there is such a thing as genuinely plural denotation in logic, and expound a framework of ideas that includes the distinction between distributive and collective predicates, the theory of plural descriptions, multival...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Oliver, Alex
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Oxford : Oxford University Press, ©2013.
Temas:
Logic.
PHILOSOPHY > Logic.
Sprachlogik
Logik
Acceso en línea:Texto completo

MARC

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520 8 |a Alex Oliver and Timothy Smiley provide an account of plural logic. They argue that there is such a thing as genuinely plural denotation in logic, and expound a framework of ideas that includes the distinction between distributive and collective predicates, the theory of plural descriptions, multivalued functions, and lists. 
505 0 |a ""Cover""; ""Contents""; ""1 The project""; ""1.1 Plural phenomena""; ""1.2 Plurals in mathematics and logic""; ""1.3 Strategies for a logic of plurals""; ""1.4 Manoeuvres of a conservative logician: a case study""; ""1.5 Plan of the book""; ""2 History""; ""2.1 Distributive and collective predication""; ""2.2 Mill""; ""2.3 Frege""; ""2.4 LeÅ?niewski""; ""2.5 Russell""; ""2.6 Bussell to Boolos""; ""3 Changing the subject""; ""3.1 Changing the subject to sets""; ""3.2 Uniformity""; ""3.3 Against the naive version of changing the subject""; ""3.4 Changing the subject and the predicate"" 
505 8 |a ""3.5 The pain of paradox""""3.6 Changing the subject is simply not on""; ""3.7 Changing the subject in practice""; ""Appendix. Events to the rescue?""; ""4 Predicative analyses""; ""4.1 Russellâ€?s theory of plural descriptions""; ""4.2 Other predicative analyses""; ""4.3 The equivocity objection""; ""4.4 Boolosâ€?s â€?reciprocal illuminationâ€?""; ""4.5 Boolosâ€?s second-order representation of plurals""; ""4.6 Boolos and equivocity""; ""4.7 Rumfittâ€?s purified Boolosian scheme""; ""Appendix. Dummett and Frege on plurals""; ""5 Termsâ€?singular and plural""; ""5.1 Terms"" 
505 8 |a ""5.2 Varieties of singular term""""5.3 Varieties of plural term""; ""5.4 The Russellian idea of singular term""; ""5.5 Nested terms""; ""5.6 Empty terms""; ""5.7 Predication""; ""6 The indeterminacy of plural denotation""; ""6.1 Two accounts of denotation""; ""6.2 Plural descriptions: some elementary facts""; ""6.3 Which account is correct?""; ""6.4 Dissenting voices I""; ""6.5 Free relatives and whâ€?questions""; ""6.6 Dissenting voices II""; ""6.7 Indeterminacy""; ""7 Some basic ideas of plural logic""; ""7.1 Variables and quantification""; ""7.2 Inclusion"" 
505 8 |a ""7.3 Distributive predicates""""7.4 Collective predicates""; ""8 Plural descriptions""; ""8.1 A theory of descriptions""; ""8.2 Formalizing the theory, definability, and ineliminability""; ""8.3 Exercises for the reader""; ""8.4 Superplurals""; ""Appendix. Sharvyâ€?s theory of descriptions""; ""9 Multivalued functions""; ""9.1 Varieties of function""; ""9.2 Mathematicians and logicians""; ""9.3 Functions and relations""; ""9.4 The ambiguity objection""; ""9.5 Proposals for eliminating them""; ""10 Lists""; ""10.1 Lists as terms""; ""10.2 Term-forming â€?andâ€?""; ""10.3 Lists as strings"" 
505 8 |a 10.4 Places and positions10.5 Terms vs strings in the literature -- 10.6 Analyses assessed -- Appendix. In defence of multigrade predicates -- 11 Singular logic -- 11.1 Topic neutrality -- 11.2 Syntax -- 11.3 Axioms -- 11.4 Metatheorems -- 11.5 Semantics -- Appendix. Soundness and completeness proofs -- 12 Mid-plural logic -- 12.1 Ideas -- 12.2 Syntax -- 12.3 Axioms -- 12.4 Metatheorems -- 12.5 Semantics -- 12.6 Relation of mid-plural logic to singular logic -- 12.7 The algebra of plurals -- Appendix. Soundness and completeness proofs 
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