Full Idea
The argument that objectual quantifiers are ontologically committing has the crucial and unnoticed presupposition that the language in which the semantics for the objectual quantifiers is couched (the 'metalanguage') also has quantifiers with commitment.
Gist of Idea
If objectual quantifiers ontologically commit, so does the metalanguage for its semantics
Source
Jody Azzouni (Deflating Existential Consequence [2004], Ch.3)
Book Reference
Azzouni,Jody: 'Deflating Existential Consequence' [OUP 2004], p.54
A Reaction
That is, presumably we find ourselves ontologically committed to the existence of quantifiers, and are also looking at an infinite regress. See Idea 12439.
Related Idea
Idea 12439 Truth is dispensable, by replacing truth claims with the sentence itself [Azzouni]