Date: Mar 26, 2013 4:46 PM
Author: mueckenh@rz.fh-augsburg.de
Subject: Re: Matheology § 224

On 26 Mrz., 21:00, Virgil <vir...@ligriv.com> wrote:
> In article
> <6eabd00e-1678-4e4e-8281-22b180dbc...@m12g2000yqp.googlegroups.com>,
>
>
>
>
>
>  WM <mueck...@rz.fh-augsburg.de> wrote:

> > On 26 Mrz., 00:18, Virgil <vir...@ligriv.com> wrote:
> > > In article
> > > <ad404888-6726-4aa3-b421-fcc887b93...@7g2000yqy.googlegroups.com>,

>
> > > WM <mueck...@rz.fh-augsburg.de> wrote:
> > > > So the set of all rational numbers always contains all irrational
> > > > numbers? Or only some? Or is that a speciality of the Binary Tree?

>
> > > It is a speciality of a complete binary tree.
>
> > > It is something that would be fairly obvious to any competent
> > > mathematician, which is, no doubt, why it is not obvious to WM.
> > > --

>
> > I let this stand as it is.
>
> I should have said a Complete INFINITE Binary Tree.


But I have asked for the Binary Tree that only contains the rational
paths.
>
> There is no Complete INFINITE Binary Tree which can represent all binary
> rationals in the interval [0,1]


Of course. But my question is not so easy to answer.

Regards, WM