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Topic: Matheology � 233
Replies: 37   Last Post: May 12, 2014 10:24 AM

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 Virgil Posts: 8,833 Registered: 1/6/11
Re: Matheology � 233
Posted: Mar 31, 2013 11:30 AM

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

> On 31 Mrz., 02:56, Virgil <vir...@ligriv.com> wrote:
> > In article
> >
> >
> >
> >
> >
> >  WM <mueck...@rz.fh-augsburg.de> wrote:

> > > On 30 Mrz., 22:11, Virgil <vir...@ligriv.com> wrote:
> >
> > > > > > Thus there is always at least one bit of any listed entry
> > > > > > disagreeing
> > > > > > with the antidiagonanl, just as the Cantor proof requires.

> >
> > > > > In a list containing every rational: Is there always, i.e., up to
> > > > > every digit, an infinite set of paths identical with the anti-
> > > > > diagonal? Yes or no?

> >
> > > > The set of paths in any Complete Infinite Binary Tree which agree with
> > > > any particular path up to its nth node is equinumerous with the set of
> > > > all paths in the entire tree i.e., is uncountably infinite.

> >
> > > This was the question: In a list containing every rational: Is there
> > > always, i.e., up to every digit, an infinite set of paths identical
> > > with the anti-diagonal? Yes or no?

> >
> > Lists and trees are different. And anti-diagonals derive from lists, not
> > trees.
> > The entries in  list are well ordered.
> > The entries in a Complete Infinite Binary Tree are densely ordered.

>
> The entries in form of nodes are well ordered. Anything else is not
>

> > Those order types are incompatible.
>
> This was the question: In a list containing every rational: Is there
> always, i.e., up to every digit, an infinite set of paths (rational
> numbers) identical with the anti-diagonal? Yes or no?

This is an equally valid question: What's the difference between a duck?
--

Date Subject Author
3/27/13 Virgil
3/28/13 mueckenh@rz.fh-augsburg.de
3/28/13 fom
3/28/13 fom
3/28/13 fom
3/28/13 rt servo
3/28/13 fom
3/28/13 fom
3/28/13 Virgil
3/28/13 fom
3/30/13 mueckenh@rz.fh-augsburg.de
3/30/13 fom
3/30/13 ross.finlayson@gmail.com
3/30/13 Virgil
3/30/13 Virgil
3/30/13 mueckenh@rz.fh-augsburg.de
3/30/13 Virgil
3/30/13 ross.finlayson@gmail.com
3/31/13 Virgil
3/30/13 fom
5/12/14 ross.finlayson@gmail.com
3/31/13 mueckenh@rz.fh-augsburg.de
3/31/13 fom
3/31/13 Virgil
3/31/13 mueckenh@rz.fh-augsburg.de
3/31/13 fom
3/31/13 Virgil
4/1/13 mueckenh@rz.fh-augsburg.de
4/1/13 fom
4/1/13 Virgil
4/1/13 mueckenh@rz.fh-augsburg.de
4/1/13 Virgil
4/2/13 mueckenh@rz.fh-augsburg.de
4/2/13 Virgil
3/27/13 fom