Date: Jan 26, 2013 5:17 PM
Subject: Re: Matheology § 198
On 26 Jan., 23:10, Virgil <vir...@ligriv.com> wrote:
> In article
> 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?