
Re: Matheology § 233
Posted:
Apr 1, 2013 5:04 PM


On 1 Apr., 22:44, Virgil <vir...@ligriv.com> wrote:
> > You do not believe that a sequence or list of all rational numbers can > > be constructed? > > One can "enumerate" the set of all rationals by formula, as has been > quite often done, but not by physically listing all of them.
A formula giving every entry is enough. > > Note that one cannot ennumerate by listing even sufficiently large > finite sets, so being listable other than by formula is not a relevant > criterion.
Constructing a list by a formula is enough to prove what I said. That physical listing is impossible is well known.
Can you prove that for every FIS of d there are infinitely many rationals in the list having the same FIS? This holds up to every line number n  and there are no further lines.
Regards, WM

