Untyped pluralism

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Abstract

In the semantic debate about plurals, pluralism is the view that a plural term
denotes some things in the domain of quantification and a plural predicate denotes
a plural property, that is, a property that can be instantiated by many things jointly.
According to a particular version of this view, untyped pluralism, there is no type
distinction between objects and properties. In this article, I argue against untyped
pluralism by showing that it is subject to a variant of a Russell-style argument put
forth by Timothy Williamson and that it clashes with a plural version of Cantor’s
theorem. I conclude that pluralists should postulate a type distinction between
objects and properties.

Details

Original languageEnglish
Pages (from-to)317-337
JournalMind
Volume123
Issue number490
Publication statusPublished - Apr 2014