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Plural Predication$
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Thomas McKay

Print publication date: 2006

Print ISBN-13: 9780199278145

Published to Oxford Scholarship Online: January 2007

DOI: 10.1093/acprof:oso/9780199278145.001.0001

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Against Singularism

Against Singularism

Chapter:
(p.19) 2 Against Singularism
Source:
Plural Predication
Author(s):

Thomas J. McKay (Contributor Webpage)

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199278145.003.0003

Because of the power and significance of first-order logic in its traditional form, restricted to distributive predication, it has been natural to try to express non-distributive plurals within that framework. Two approaches leap quickly to the mind of the student of standard first-order logic who is trying to come to terms with non-distributive plurals. The first is ‘the multiple relations idea’. The second is the adoption of some variety of singularism, representing plurals by a single object that encompasses many. This chapter presents some initial considerations for the case that it will ultimately be better to reconsider the underlying logic.

Keywords:   first-order logic, non-distributive predication, multiple relations idea, plurals

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