Date: Mar 30, 2013 2:03 PM
Author: Virgil
Subject: Re: Matheology � 224
In article

<050b4a95-d2b0-433b-98b6-d63c34635cb7@m9g2000vbc.googlegroups.com>,

WM <mueckenh@rz.fh-augsburg.de> wrote:

> On 29 Mrz., 19:40, Virgil <vir...@ligriv.com> wrote:

> > In article

> > <ce3c22f2-9116-4621-b3b4-e722fe51a...@a14g2000vbm.googlegroups.com>,

> >

> > WM <mueck...@rz.fh-augsburg.de> wrote:

> > > On 26 Mrz., 22:47, Virgil <vir...@ligriv.com> wrote:

> >

> > > > But a tree that contains paths for all binary rationals will contain a

> > > > path for all limits of a sequences of binary rationals.

> >

> > > Does a sequence always contain its limit?

> >

> > Depends on the sequence, of course. but a sequence of paths in a

> > Complete Infinite Binary Tree in which the nth path must share at least

> > n nodes with each of its successors will always converge, though not

> > neccessarily to a binary rational.

>

> A sequence of numbers may converge, but not necessarily to a limit

> that is a term of the sequence.

Precisely my point!

> A sequence of paths may converge, but not necessarily to a limit that

> is a term of the sequence.

So WM acknowledges that A sequence of binary rational paths can converge

to a path that is not a binary rational.

>

> In mathematics more precision is required.

Certainly more than WM is capable of producing,.

>

>

> >

> >

> >

> > In a COMPLETE INFINITE BINARY TREE, all paths are actually infinite

> > --

>

> This is again a simple statement of countermathematical belief

It is matter of simple definition.

The definition of a COMPLETE Infinite Binary Tree requires that no path

in such a tree can terminate.

At least it does so everywhere outside of Wolkenmuekenheim,

--