Unity and Plurality: Logic, Philosophy, and Linguistics

Hardcover | April 16, 2016

EditorMassimiliano Carrara, Alexandra Arapinis, Friederike Moltmann

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Unity and Plurality presents novel ways of thinking about plurality while casting new light on the interconnections among the logical, philosophical, and linguistic aspects of plurals. The volume brings together new work on the logic and ontology of plurality and on the semantics of plurals innatural language. Plural reference, the view that definite plurals such as 'the students' refer to several entities at once (the individual students), is an approach favoured by logicians and philosophers, who take sentences with plurals ("the students gathered") not to be committed to entitiesbeyond individuals, entities such as classes, sums, or sets. By contrast, linguistic semantics has been dominated by a singularist approach to plurals, taking the semantic value of a definite plural such as 'the students' to be a mereological sum or set. Moreover, semantics has been dominated by aparticular ontological view of plurality, that of extensional mereology. This volume aims to build a bridge between the two traditions and to show the fruitfulness of nonstandard mereological approaches. A team of leading experts investigates new perspectives that arise from plural logic and non-standard mereology and explore novel applications to natural languagephenomena.

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Unity and Plurality presents novel ways of thinking about plurality while casting new light on the interconnections among the logical, philosophical, and linguistic aspects of plurals. The volume brings together new work on the logic and ontology of plurality and on the semantics of plurals innatural language. Plural reference, the vie...

Massimiliano Carrara is Associate professor of Logic and Philosophy of Language at the University of Padua (Italy). He is also Principal investigator of the COGITO Research centre in Philosophy, University of Bologna. He has been visiting professor at Columbia University (New York), at the ILLC (Institute for Logic, Language, and Compu...

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Format:HardcoverDimensions:288 pages, 9.21 × 6.14 × 0.1 inPublished:April 16, 2016Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:019871632X

ISBN - 13:9780198716327

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Table of Contents

Massimiliano Carrara and Friederike Moltmann: IntroductionPart I. Pluralities in Logic1. Theodore Scaltsas: Relations as Plural-Predications in Plato2. Oystein Linnebo: How to Harness Basic Law V3. Alex Oliver and Timothy Smiley: Singularist Predicative Analyses and Boolos's Second-Order Pluralism4. Peter Simons: The Ontology and Logic of Higher-Order Multitudes5. Francesca Boccuni, Massimiliano Carrara, and Enrico Martino: The Logicality of Second-Order Logic: An Analysis in Terms of Plural Arbitrary Reference and Acts of ChoicePart II. Pluralities in Semantics6. Friederike Moltmann: Plural Reference and Reference to a Plurality: Linguistic Facts and Semantic Analyses7. Byeong-uk Yi: Quantifiers, Determiners, and Plural Constructions8. Thomas J. McKay: Mass and Plural9. Paolo Acquaviva: Linguistic Plurality and the Conceptualization of Part Structure10. Alexandra Arapinis: Partial Involvement: Groups and their Structure