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June 21, 2010

Unrestricted Quantifiers and Fundamental Quantifiers

According to Ted Sider, ontology is concerned with determining what objects are in the scope of the 'unrestricted' universal quantifier. Sider argues that ontological questions thus have genuine objective answers, for there can be no vagueness in the meaning of the unrestricted quantifier. Suppose, says Sider, that there are two precisifications, ∀1 and ∀2 of the universal quantifier ∀. Then, he says, there must be some thing, x, that is in the extension of one, but not the other, of ∀1 and ∀2. But in that case, whichever of ∀1 and ∀2 lacks x in its extension will fail to...
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