Full Idea
The possibility of unrestricted quantification does not immediately presuppose the existence of an all-inclusive domain. One could deny an all-inclusive domain but grant that some quantifications are sometimes unrestricted.
Gist of Idea
We could have unrestricted quantification without having an all-inclusive domain
Source
Rayo,A/Uzquiasno,G (Introduction to 'Absolute Generality' [2006], 1.1)
Book Reference
'Absolute Generality', ed/tr. Rayo,A/Uzquiano,G [OUP 2006], p.2
A Reaction
Thus you can quantify over anything you like, but only from what is available. Eat what you like (in this restaurant).