Date: Jan 26, 2013 5:17 PM
Author: mueckenh@rz.fh-augsburg.de
Subject: Re: Matheology § 198
On 26 Jan., 23:10, Virgil <vir...@ligriv.com> wrote:

> In article

> <054da2be-2f0a-4290-b356-10eb0a5e1...@r14g2000yqe.googlegroups.com>,

>

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

> > On 26 Jan., 01:46, Virgil <vir...@ligriv.com> wrote:

>

> > > > Of interest is this: If the same set of

> > > > nodes has to describe both, the Binary Tree with finite paths and that

> > > > with infinite paths, then it is impossible to discern, alone by nodes,

> > > > whether we work in the former or the latter.

>

> > > There is no such thing as a Complete Infinite Binary Tree with finite

> > > paths.

>

> > So you agree that there is a level omega?

>

> Why should I agree to add another level to the infinitely many finite

> levels that must already exist in order to have a COMPLETE INFINITE

> BINARY TREE at all?

These levels exist already after constructing all finite initial

segments of all paths, abbreviated by "all finite paths". Or can you

determine a node or level of the complete infinite Binary Tree that

does not exist?

Regards, WM