On Saturday, December 7, 2013 12:00:51 AM UTC+1, Virgil wrote: > In article <firstname.lastname@example.org>, > > WM <email@example.com> wrote: > > > > > Am Freitag, 6. Dezember 2013 20:11:32 UTC+1 schrieb Michael F. Stemper: > > > > > > > > > > > (For starters, did > > > > > > > > Cantor include the assumption that the list had all reals?) > > > > > > No. He said: Ist E1, E2, ..., E?, ... irgendeine einfach unendliche Reihe von > > > Elementen der Mannigfaltigkeit M > > > Let ... be any infinite sequence of elements ... > > > > > > Regards, WM > > > > The point is that anyone who claims that the reals ARE countable is > > automaticaly claming that there must exist a COMPLETE listing of all of > > them, as that is equivalent to the reals being countable. > > > > Cantor has merely show that a list of reals can never be complete, which > > is equivalent to saying that the set of reals is uncountable. > > --
And every healthy man or woman knows that nothing which is infinite can be completed since infinity is nothing more or less than ceaselessness, say, by definition, can't be completed.