In article <firstname.lastname@example.org>, "bethy" <email@example.com> wrote:
> "WM" <firstname.lastname@example.org> wrote in message > news:email@example.com... > 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. > > Regards, WM > > >>>>>>>>>>>>>><<<<<<<<<<<<<<<<<<<< > > you should be careful what you post as it could get you thrown out of school > + math. > > Your posting uses language that is not clear, perhaps intentionally, such as > the mixing of sequences and sets.
I suspect that WM is so unclear in his own mind about the standard meanings of the words and phrases in the vocabulary of standard mathematics, that he is not even aware of his many errors in this regard. --