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Topic: Matheology § 224
Replies: 811   Last Post: Apr 14, 2013 1:28 PM

 Messages: [ Previous | Next ]
 Virgil Posts: 8,833 Registered: 1/6/11
Re: Matheology � 224
Posted: Apr 4, 2013 4:37 PM

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

> On 4 Apr., 19:40, William Hughes <wpihug...@gmail.com> wrote:
> > On Apr 4, 6:43 pm, WM <mueck...@rz.fh-augsburg.de> wrote:
> >

> > > On 4 Apr., 18:21, William Hughes <wpihug...@gmail.com> wrote:
> >
> > > > On Apr 4, 5:19 pm, WM <mueck...@rz.fh-augsburg.de> wrote:
> >
> > > > > On 4 Apr., 16:08, William Hughes <wpihug...@gmail.com> wrote:
> > > > > There is no need to say what numbers belong to mathematics - in
> > > > > mathematics. There is no need to say what paths belong to the Binary
> > > > > Tree

> >
> > > > However, you keep talking about two types of paths,
> >
> > > Not at all. I talk about sets of nodes that are in the Binary Tree.
> >
> > Indeed, and some of these subsets of nodes are paths and
> > some are not.

>
> In the Binary Tree there is no stop at any path.

By the time one has a path one has infinitely many nodes in it, at least
for a CIBT.
>
> > You talk about subsets of nodes with a last node
> > and subsets of nodes without a last node.  However,
> > you refuse outright to indicate what makes a subset of nodes
> > a path  (certainly not all subsets of nodes are paths).

>
> All nodes that belong to a finite path

There are no such things as finite paths in any Complete Infinite Binary
Tree.

> belong to an infinite path
> too. That is the character of the Binary Tree. There is no further
> limitation possible. There is no further indication necessary or
> possible.
>

It may be untenable inside Wolkenmuekenheim, but nowhere else, and much
of what WM claims is untenable anywhere else.

> Or try (and fail) to define a limit
> that distinguishes both Binary Trees.

The only binary tree of interest here is the Complete Infinite Binary
Tree in which each path is order isomorphic to |N.
--

Date Subject Author
3/15/13 William Hughes
3/15/13 mueckenh@rz.fh-augsburg.de
3/15/13 William Hughes
3/15/13 Virgil
3/16/13 mueckenh@rz.fh-augsburg.de
3/16/13 Virgil
3/16/13 mueckenh@rz.fh-augsburg.de
3/16/13 William Hughes
3/16/13 mueckenh@rz.fh-augsburg.de
3/16/13 William Hughes
3/16/13 mueckenh@rz.fh-augsburg.de
3/16/13 William Hughes
3/16/13 mueckenh@rz.fh-augsburg.de
3/16/13 Virgil
3/16/13 mueckenh@rz.fh-augsburg.de
3/16/13 Virgil
3/17/13 mueckenh@rz.fh-augsburg.de
3/17/13 Scott Berg
3/18/13 fom
3/17/13 Virgil
3/17/13 fom
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3/18/13 mueckenh@rz.fh-augsburg.de
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3/17/13 fom
3/17/13 mueckenh@rz.fh-augsburg.de
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3/17/13 mueckenh@rz.fh-augsburg.de
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3/17/13 Virgil
3/17/13 ross.finlayson@gmail.com
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3/18/13 ross.finlayson@gmail.com
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3/18/13 mueckenh@rz.fh-augsburg.de
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3/17/13 mueckenh@rz.fh-augsburg.de
3/17/13 William Hughes
3/17/13 mueckenh@rz.fh-augsburg.de
3/17/13 Virgil
3/17/13 William Hughes
3/17/13 mueckenh@rz.fh-augsburg.de
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3/18/13 mueckenh@rz.fh-augsburg.de
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