Date: Mar 26, 2013 3:18 PM
Subject: Re: Matheology § 224
On 26 Mrz., 00:08, Virgil <vir...@ligriv.com> wrote:
> In article
> WM <mueck...@rz.fh-augsburg.de> wrote:
> > On 25 Mrz., 21:43, Virgil <vir...@ligriv.com> wrote:
> > > > That is the question too. Why has never anybody written the complete
> > > > decimal- or binary expansion of a periodic rational?
> > > Everyone who tried died of boredom before finishing.
> > In brief: It is impossible.
> It is also unnecessary, which is how the boredom arose.
If uncountably many real numbers should be distinguished ort be
applied for any mathematical reason, then all infinitely many digits
of each of them have to be written, because by shorter names only
countably many numbers can be distinguished or applied. Compare the
countable set of all finite subsets of |N.
A mathematician would know that.