In article <firstname.lastname@example.org>, WM <email@example.com> wrote:
> On 30 Mai, 00:31, Virgil <virg...@nowhere.com> wrote: > > > But if there are only finitely many elements in that universal set, then > > WM's potentially infinite sets, being of necessity subsets of a finite > > universal set, can not be potentially infinite, as they must eventually > > exhaust their finite universal set. > > Your universe of numbers is all numbers that you can construct. If you > increase your capabilities, your universe grows. That's why it is > infinite.
If all sets are finite, but ever changing as WM insists, then one can never have a set theory at all, as sets, including universal sets if any, do not change. Whatever WM is going on about, it is not sets.