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Full Idea
Abandon the idea that use of plural forms must always be understood to commit one to the existence of sets of those things to which the corresponding singular forms apply.
Gist of Idea
Plural forms have no more ontological commitment than to first-order objects
Source
George Boolos (To be is to be the value of a variable.. [1984], p.66)
Book Ref
Boolos,George: 'Logic, Logic and Logic' [Harvard 1999], p.66
A Reaction
It seems to be an open question whether plural quantification is first- or second-order, but it looks as if it is a rewriting of the first-order.