A Note on Plural Logic


Abstract
A distinction is introduced between itemized and non-itemized plural predication. It is argued that a full-fledged system of plural logic is not necessary in order to account for the validity of inferences concerning itemized collective predication. Instead, it is shown how this type of inferences can be adequately dealt with in a first-order logic system, after small modifications on the standard treatment. The proposed system, unlike plural logic, has the advantage of preserving completeness. And as a result, inferences such as ‘Dick and Tony emptied the bottle, hence Tony and Dick emptied the bottle’ are shown to be first-order
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Plural Predication.Thomas McKay - 2006 - Oxford University Press.
E Pluribus Unum: Plural Logic and Set Theory.John P. Burgess - 2004 - Philosophia Mathematica 12 (3):193-221.
Plural Quantification.Ø Linnebo - 2008 - Stanford Encyclopedia of Philosophy.

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