In article <firstname.lastname@example.org>, WM <email@example.com> wrote:
> On 19 Jun., 19:04, Zeit Geist <tucsond...@me.com> wrote: > > > > > Anyway, what Cantor wrote is NOT the theory of ZFC. > > In modern ZFC omega is used as ordinal and as cardinal simultaneously. > > > > > And regardless of what anyone wrote, an infinite ordinal > > or cardinal need not be a "digit numeral" as you wrote. > > The numbers of digits of pi is aleph_0 = omega. > But that is impossible if aleph_0 = omega is greater than every > natural number.
Isn't the number of digits in a complete decimal representation of pi, just like aleph_0, greater than every natural number? So call it beta.
Then if aleph_0 = omega and beta are different, as WM claims, WM should be able to tell us which one is the larger?