Studia Logica 103 (4):757-780 (2015)

Authors
Nino Cocchiarella
Indiana University, Bloomington
Abstract
There are different views of the logic of plurals that are now in circulation, two of which we will compare in this paper. One of these is based on a two-place relation of being among, as in ‘Peter is among the juveniles arrested’. This approach seems to be the one that is discussed the most in philosophical journals today. The other is based on Bertrand Russell’s early notion of a class as many, by which is meant not a class as one, i.e., as a single entity, but merely a plurality of things. It was this notion that Russell used to explain plurals in his 1903 Principles of Mathematics; and it was this notion that I was able to develop as a consistent system that contains not only a logic of plurals but also a logic of mass nouns as well. We compare these two logics here and then show that the logic of the Among relation is reducible to the logic of classes as many
Keywords Plurals  Pluralities  Classes as many  The among relation  The “is one of” relation
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Reprint years 2015
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DOI 10.1007/s11225-014-9591-y
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References found in this work BETA

The Varieties of Reference.Gareth Evans - 1982 - Oxford: Oxford University Press.
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Plural Logic.Alex Oliver & Timothy John Smiley - 2013 - Oxford, England: Oxford University Press UK.
Plural Predication.Thomas McKay - 2006 - Oxford, England: Oxford University Press.
The Calculus of Individuals and its Uses.Henry S. Leonard & Nelson Goodman - 1940 - Journal of Symbolic Logic 5 (2):45-55.

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