In article <firstname.lastname@example.org>, email@example.com wrote:
> Irrational numbers have no decimal (or binary or whatever > integer-positive-base) expansion.
x = Sum 1/10^(n!) IS the expansion of a different irrational number in every different base.
So in one line there are infinitely many counter-examples to WM's claim.
> It is impossible for an infinite list of > decimals to appear in mathematical discourse, dialogue, or monologue other > than as the finite rule how to calculate *every* decimal at a finite place > but never *all* decimal, since beyond every finite index there are infinitely > many further indices.
So in one line there are infinitely many counter-examples to WM's claim. nswered: Both your assertions above are incorrect. > > Wouldn't that claim oblige him, in crank-free mathematics, to support his > opinion by listing all decimals of a nonterminating decimal representation of > a real number of his choice?
A finite rule for finding all infinitely many is quite sufficient everywhere in the crank-free mathematics that exists only outside the wild weird world of WMytheology. --