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Topic: Answer to Dik T. Winter
Replies: 441   Last Post: Feb 5, 2013 6:25 AM

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 William Hughes Posts: 4,277 Registered: 12/6/04
Re: Answer to Dik T. Winter
Posted: Jun 15, 2009 10:01 AM
 Plain Text Reply

On Jun 15, 9:23 am, WM <mueck...@rz.fh-augsburg.de> wrote:
> On 15 Jun., 00:19, William Hughes <wpihug...@hotmail.com> wrote:
>

Your claim is that "no possibility exists to construct or to
distinguish by one or many or infinitely many nodes
of the tree another path."

You are trying a proof by contradiction of
"Infinite paths exist"

We have

If infinite paths exist
there is a path p that can be distinguished
from every path of P.

We need

If infinite paths exist path
there is no path p that can be distinguished
from every path of P.

Your putative proof

you are not able to distinguish p from P (by means of digits).

(Note that you have agreed that distinguish p from P
means distinguish p from every element of P)

I agreed, and pointed out that you distinguish p from every elemnt of
P by
subsets of digits.

> > Answer yes or no
>
> > you are able to distinguish p from P by subsets of digits
>

<keep evasion>

> I will try to explain it for you again:
>
> We have a list of a countable set P of terminating paths p_n. By the
> diagonal method we can distinguish p from every p_n (if actual
> infinity exists).
>
> Now we write the paths p_n in slightly different form: The beginning
> zeros of all paths are written only once, the following 1 or 0 also
> are written only once each and so on. Note, we have not done anything
> else but writing the list in slightly different form, saving some ink.
> In particular we have not added any new path.
>
> This yields the complete binary tree.

Correct, you can get every node in the binary tree without
using every subset of nodes in the binary tree.

> You know that you are unable to
> distinguish any binary sequence representing a real of the unit
> interval from every path of the tree.

Correct the tree contains every subset of nodes,
however P ( a list of subsets of nodes)
does not contain every subset of nodes
You can distinguish p from every element of P by
subsets of nodes.

William Hughes

Date Subject Author
5/27/09 mueckenh@rz.fh-augsburg.de
5/27/09 Dik T. Winter
5/27/09 mueckenh@rz.fh-augsburg.de
5/27/09 mueckenh@rz.fh-augsburg.de
5/27/09 Virgil
5/27/09 mueckenh@rz.fh-augsburg.de
5/27/09 Virgil
5/27/09 Virgil
5/28/09 mueckenh@rz.fh-augsburg.de
5/28/09 Virgil
5/28/09 Dik T. Winter
5/28/09 G. Frege
5/28/09 Jesse F. Hughes
5/29/09 Dik T. Winter
5/29/09 G. Frege
5/29/09 Dik T. Winter
5/30/09 G. Frege
5/30/09 Jesse F. Hughes
6/2/09 Dik T. Winter
5/30/09 Jesse F. Hughes
5/30/09 Ralf Bader
6/1/09 mueckenh@rz.fh-augsburg.de
6/1/09 Jesse F. Hughes
6/1/09 Virgil
6/2/09 george
6/2/09 Denis Feldmann
6/2/09 Dik T. Winter
6/11/09 mueckenh@rz.fh-augsburg.de
6/11/09 Virgil
6/11/09 William Hughes
6/11/09 mueckenh@rz.fh-augsburg.de
6/11/09 Virgil
6/11/09 William Hughes
6/11/09 Guest
6/11/09 mueckenh@rz.fh-augsburg.de
6/11/09 Virgil
6/11/09 William Hughes
6/12/09 mueckenh@rz.fh-augsburg.de
6/12/09 Virgil
6/12/09 William Hughes
6/12/09 mueckenh@rz.fh-augsburg.de
6/12/09 Virgil
6/12/09 William Hughes
6/12/09 mueckenh@rz.fh-augsburg.de
6/12/09 Virgil
6/12/09 William Hughes
6/12/09 mueckenh@rz.fh-augsburg.de
6/12/09 Virgil
6/12/09 William Hughes
6/12/09 mueckenh@rz.fh-augsburg.de
6/12/09 Virgil
6/12/09 mueckenh@rz.fh-augsburg.de
6/12/09 Virgil
6/12/09 William Hughes
6/13/09 mueckenh@rz.fh-augsburg.de
6/13/09 Virgil
6/13/09 mueckenh@rz.fh-augsburg.de
6/13/09 Virgil
6/13/09 mueckenh@rz.fh-augsburg.de
6/13/09 Virgil
6/13/09 William Hughes
6/13/09 mueckenh@rz.fh-augsburg.de
6/13/09 Virgil
6/13/09 William Hughes
6/13/09 mueckenh@rz.fh-augsburg.de
6/13/09 Virgil
6/13/09 William Hughes
6/13/09 mueckenh@rz.fh-augsburg.de
6/13/09 Virgil
6/13/09 William Hughes
6/13/09 mueckenh@rz.fh-augsburg.de
6/13/09 Virgil
6/14/09 Owen Jacobson
6/14/09 Virgil
6/13/09 mueckenh@rz.fh-augsburg.de
6/13/09 Virgil
6/13/09 Ralf Bader
6/13/09 William Hughes
6/13/09 mueckenh@rz.fh-augsburg.de
6/13/09 Virgil
6/13/09 William Hughes
6/14/09 mueckenh@rz.fh-augsburg.de
6/14/09 Virgil
6/14/09 William Hughes
6/14/09 mueckenh@rz.fh-augsburg.de
6/14/09 Virgil
6/14/09 William Hughes
6/14/09 mueckenh@rz.fh-augsburg.de
6/14/09 Virgil
6/14/09 William Hughes
6/14/09 mueckenh@rz.fh-augsburg.de
6/14/09 Virgil
6/14/09 mueckenh@rz.fh-augsburg.de
6/14/09 Virgil
6/14/09 William Hughes
6/14/09 mueckenh@rz.fh-augsburg.de
6/14/09 Virgil
6/14/09 William Hughes
6/15/09 mueckenh@rz.fh-augsburg.de
6/15/09 Virgil
6/15/09 William Hughes
6/15/09 mueckenh@rz.fh-augsburg.de
6/15/09 Virgil
6/15/09 William Hughes
6/15/09 mueckenh@rz.fh-augsburg.de
6/15/09 Virgil
6/15/09 mueckenh@rz.fh-augsburg.de
6/15/09 Virgil
6/15/09 William Hughes
6/15/09 mueckenh@rz.fh-augsburg.de
6/16/09 Virgil
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6/16/09 Virgil
2/5/13
6/16/09 William Hughes
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6/16/09 Virgil
6/16/09 William Hughes
6/16/09 mueckenh@rz.fh-augsburg.de
6/16/09 Virgil
6/16/09 mueckenh@rz.fh-augsburg.de
6/16/09 Virgil
6/16/09 William Hughes
6/17/09 mueckenh@rz.fh-augsburg.de
6/17/09 Virgil
6/17/09 mueckenh@rz.fh-augsburg.de
6/17/09 Virgil
6/17/09 William Hughes
6/17/09 mueckenh@rz.fh-augsburg.de
6/17/09 Virgil
6/17/09 William Hughes
6/17/09 mueckenh@rz.fh-augsburg.de
6/17/09 Virgil
6/17/09 William Hughes
6/17/09 mueckenh@rz.fh-augsburg.de
6/17/09 Virgil
7/17/09 scriber77@yahoo.com
6/17/09 William Hughes
6/17/09 mueckenh@rz.fh-augsburg.de
6/17/09 Virgil
6/17/09 William Hughes
6/17/09 mueckenh@rz.fh-augsburg.de
6/17/09 Virgil
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6/17/09 Owen Jacobson
6/17/09 Virgil
6/17/09 William Hughes
6/18/09 mueckenh@rz.fh-augsburg.de
6/18/09 Virgil
6/18/09 William Hughes
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6/18/09 Virgil
6/18/09 William Hughes
6/19/09 mueckenh@rz.fh-augsburg.de
6/19/09 Virgil
6/19/09 mueckenh@rz.fh-augsburg.de
6/19/09 Virgil
6/19/09 William Hughes
6/19/09 mueckenh@rz.fh-augsburg.de
6/19/09 Virgil
6/19/09 William Hughes
6/19/09 mueckenh@rz.fh-augsburg.de
6/19/09 Virgil
6/19/09 William Hughes
6/19/09 mueckenh@rz.fh-augsburg.de
6/19/09 Virgil
6/19/09 William Hughes
6/20/09 mueckenh@rz.fh-augsburg.de
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6/20/09 george
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6/3/09 Dik T. Winter
6/3/09 Guest
6/7/09 mueckenh@rz.fh-augsburg.de
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6/10/09 mueckenh@rz.fh-augsburg.de
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6/11/09 mueckenh@rz.fh-augsburg.de
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5/28/09 William Hughes
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5/29/09 Virgil
5/30/09 mueckenh@rz.fh-augsburg.de
5/30/09 Virgil
5/31/09 mueckenh@rz.fh-augsburg.de
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7/3/09 mueckenh@rz.fh-augsburg.de
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7/2/09 ross.finlayson@gmail.com
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7/2/09 ross.finlayson@gmail.com
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