In article <email@example.com>, WM <firstname.lastname@example.org> wrote:
> > > That is potential infinity. > > > > Nope, that is actual infinity. (In potential > > infinity you cannot have a set that is different from > > finite sets because all sets are finite)- > > All sets are finite, but not fixed.
You mean that a set can change its membership?
As far as I know, there is no version of a set theory, at least none outside of WMytheology, in which any set is so inconstant as to be able to change its membership.
Any such a "theory", which can only exist in such odd places as Wolkenmuekenheim, is both a non-set theory and a nonsense theory.
> There is no upper threshold, > contrary to every finite set.
Then, as a set of naturals, it is necessarily actually infinite, since it is obviously incapable of excluding any one of an actual infinity of natural numbers. And WM is wrong , again, as usual!!! --