Plural logic / Alex Oliver & Timothy Smiley.

Format:

Book

Author/Creator:

Oliver, Alex, author.

Smiley, T. J. (Timothy John), author.

Language:

English

Subjects (All):

Logic.

Logic, Symbolic and mathematical.

Philosophy, Modern--21st century.

Philosophy, Modern.

Reasoning.

Physical Description:

1 online resource (xiv, 336 pages)

Place of Publication:

Oxford : Oxford University Press, 2013.

Language Note:

English

Summary:

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.

Contents:

""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""

""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 Russell�s theory of plural descriptions""; ""4.2 Other predicative analyses""; ""4.3 The equivocity objection""; ""4.4 Boolos�s �reciprocal illumination�""; ""4.5 Boolos�s second-order representation of plurals""; ""4.6 Boolos and equivocity""; ""4.7 Rumfitt�s purified Boolosian scheme""; ""Appendix. Dummett and Frege on plurals""; ""5 Terms�singular and plural""; ""5.1 Terms""

""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 wh�questions""; ""6.6 Dissenting voices II""; ""6.7 Indeterminacy""; ""7 Some basic ideas of plural logic""; ""7.1 Variables and quantification""; ""7.2 Inclusion""

""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. Sharvy'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 �and�""; ""10.3 Lists as strings""

""10.4 Places and positions""""10.5 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""

""13 Full plural logic""

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

Description based on online resource; title from home page (viewed on August 21, 2013).

ISBN:

0-19-175586-9

0-19-164411-0

OCLC:

922972343