Single Idea 13449

[catalogued under 5. Theory of Logic / G. Quantification / 2. Domain of Quantification]

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


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).