On 20 Jun., 21:02, FredJeffries <fredjeffr...@gmail.com> wrote: > On Jun 20, 11:50 am, WM <mueck...@rz.fh-augsburg.de> wrote: > > > On 20 Jun., 20:25, FredJeffries <fredjeffr...@gmail.com> > > > > No. A sequence is a function with domain the natural numbers. > > > And what is an ordered countable set? > > An ordered set where the underlying set is countable. You teach > mathematics > and are ignorant of such things?
No, but you seem to have lost a bit of mathematical self control. I try to get you back to sense. > > > > > However, have you really not understood that the sets of a sequence of > > sets can be unioned? (You have had a blackout. That happens.) > > The range of the sequence can be unioned.
Two sets can be unioned. n sets can be unioned. aleph_0 sets can be unioned.
Whether or not they belong to a sequence does not matter. Otherwise the axioms should indicate that unioning sets that belong to a sequence is prohibited.