"WM" <firstname.lastname@example.org> wrote in message news:email@example.com... <snip>
> After 1 hour the urn is empty, because for every number the time of > removal can be determined. So for the set X of numbers residing in the > urn we obtain > Lim |X| =/= |Lim X| > This prevents any application of set theory to reality although it was > Cantor's outspoken aim to apply set theory to reality (cp., e.g., his > letter to Mittag-Leffler of Sept., 22, 1884).
That argument is simply *wrong*, it does not show a problem in set theory (not in itself at least). From "every (finitely-labeled!) ball has been removed at step w" one cannot conclude "the vase is empty at step w", period.