Two Views of the Logic of Plurals and a Reduction of One to the Other

Studia Logica 103 (4):757-780 (2015)
Nino Cocchiarella
Indiana University, Bloomington
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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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 University Press.
Plural Predication.Thomas McKay - 2006 - Oxford University Press.
Plural Logic.Alex Oliver & Timothy Smiley - 2013 - Oxford University Press UK.
On the Logic of Classes as Many.Nino Cocchiarella - 2002 - Studia Logica 70 (3):303-338.

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