In article <email@example.com>, WM <firstname.lastname@example.org> wrote:
> > > Height and diagonal have lenght aleph_0. What about the basis? > > > > Aleph_0 is not a length, nor an area, nor a volume. > > If it was a whole number or integer, as Cantor insisted, then it could > be used to define a length or an area or a volume etc.
It is certainly not a member of the ring of integers (or whole numbers), nor of the field of rationals, nor of the field of reals, as it is totally incompatible with the arithmetical rules of those structures.
And as every numerical expression of length, area, or volume uses integers or rationals or reals as it numbers, WM is dreaming again. --