Date: Mar 24, 2013 7:16 PM
Author: Virgil
Subject: Re: Matheology � 224

In article 
<ab63154d-ab7e-4a03-be1b-17ac932265be@hd10g2000pbc.googlegroups.com>,
"Ross A. Finlayson" <ross.finlayson@gmail.com> wrote:

> On Mar 24, 2:51 pm, fom <fomJ...@nyms.net> wrote:
> > On 3/24/2013 4:34 PM, WM wrote:
> >
> >
> >
> >
> >
> >
> >

> > > On 24 Mrz., 21:29, Virgil <vir...@ligriv.com> wrote:
> > >> In article
> > >> <729f073f-8948-4eb9-991a-2bd249ac5...@c6g2000yqh.googlegroups.com>,

> >
> > >> A binary tree that contains one path of each positive natural number
> > >> length will necessarily also contain exactly one path of infinite length.

> >
> > > Like the sequence
> > > 0.1
> > > 0.11
> > > 0.111
> > > ...
> > > that necessarily also contains its limit?

>
>
> A binary tree that contains one path, of all zero-branches, of each
> finite length, will necessarily contain a path of 0-branches of
> infinite length.


Better is

root
| \
0 1
| \
0 1
| \
0 1
| \
0 1
| \
0 1
| \
0 1
| \
0 1
| \

And so on
> Ross Finlayson
--