On Oct 10, 12:52 pm, WM <mueck...@rz.fh-augsburg.de> wrote: > On 10 Okt., 16:04, Alen <al...@westserv.net.au> wrote: >
> o > oo > ooo > ... > > with aleph_0 lines but less than aleph_0 columns, because there is no > natural number made of aleph_0 circles.
Sigh! The number of columns is the supremum of the line length. This supremum is aleph_0 despite the fact that there is no natural number made of aleph_0 circles. number of lines = number of columns = aleph_0
William Hughes > construction, every column that is populated by a circle is also > populated by a circle in the next line. A(n) = B(n) but A(oo) > B(oo). > aleph_0 numbers are accumulated without a number aleph_0. > Contradiction. > > Regards, WM