Date: Mar 26, 2013 5:15 PM
Subject: Re: Matheology � 224
WM <email@example.com> wrote:
> 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
If it contains ALL binary rational paths, it cannot help containing
others as well.
> > There is no Complete INFINITE Binary Tree which can represent only
> > all binary rationals in the interval [0,1]
> Of course. But my question is not so easy to answer.
> Regards, WM