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Topic: Answer to Dik T. Winter
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mueckenh@rz.fh-augsburg.de

Posts: 15,286
Registered: 1/29/05
Re: Answer to Dik T. Winter
Posted: Jun 15, 2009 9:23 AM
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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."


In fact that is not possible.
>

> > > > There are two statements:
> > > > 1) Path p can be distinguished from every path of P.
> > > > 2) Path p cannot be distinguished from every path of P.


> > > You agreed that constucting the tree does not change
> > > path p or any element of P

>
> > That is correct. It is a basic of mathematics.
>
> So either you are completly incoherent or you
> now agree that under the assumption that
> actual infinity exists path p can be distinguished
> from every path of P.


But it turns out that this assumption cannot be satisfied.
>
>
> Your claim explicitly mentions distinguishing p from P by
> "one or many or infinitely many nodes".
> Answer yes or no
>
>          you are able to distinguish p from P by subsets of digits


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

This proves that you, contrary to the assumption, have been unable at
the beginning too, because there the same set of paths was presented
to you. You only believed that you were able. Cantor's diagonal method
is falsified.

Regards, WM


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5/27/09
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6/30/09
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Virgil
7/1/09
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Dik T. Winter
7/2/09
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G. Frege
7/2/09
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Dik T. Winter
7/2/09
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herb z
7/2/09
Read Re: Answer to Dik T. Winter
Dik T. Winter
7/2/09
Read Re: Answer to Dik T. Winter
herb z
7/2/09
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G. Frege
7/3/09
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Aatu Koskensilta
7/3/09
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Daryl McCullough
7/2/09
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G. Frege
7/2/09
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G. Frege
7/2/09
Read Re: Answer to Dik T. Winter
G. Frege
7/2/09
Read Re: Answer to Dik T. Winter
Jack Markan
7/2/09
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G. Frege
7/2/09
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Jack Markan
7/2/09
Read Re: Answer to Dik T. Winter
G. Frege
7/2/09
Read Re: Answer to Dik T. Winter
Jack Markan
7/3/09
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Dik T. Winter
7/3/09
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G. Frege
7/3/09
Read Re: Answer to Dik T. Winter
Dik T. Winter
7/3/09
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G. Frege
7/4/09
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Aatu Koskensilta
7/6/09
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Dik T. Winter
7/6/09
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G. Frege
7/6/09
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Dik T. Winter
7/6/09
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Jesse F. Hughes
7/3/09
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mueckenh@rz.fh-augsburg.de
7/3/09
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Virgil
7/3/09
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Ralf Bader
7/2/09
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G. Frege
7/2/09
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Virgil
7/2/09
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7/2/09
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ross.finlayson@gmail.com
7/2/09
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mueckenh@rz.fh-augsburg.de
7/2/09
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Jack Markan
7/2/09
Read Re: Answer to Dik T. Winter
Jack Markan
7/2/09
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Virgil
7/2/09
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ross.finlayson@gmail.com
7/2/09
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Jack Markan
7/2/09
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ross.finlayson@gmail.com
7/6/09
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Jack Markan
7/6/09
Read Re: Answer to Dik T. Winter
ross.finlayson@gmail.com
7/6/09
Read Re: Answer to Dik T. Winter
Jack Markan
7/6/09
Read Re: Answer to Dik T. Winter
ross.finlayson@gmail.com
7/6/09
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Jack Markan
6/8/09
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mueckenh@rz.fh-augsburg.de
6/8/09
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Virgil
6/9/09
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6/9/09
Read Re: Answer to Dik T. Winter
Jack Markan
6/9/09
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Virgil
6/11/09
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6/11/09
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Virgil
6/11/09
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6/11/09
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Virgil
6/11/09
Read Re: Answer to Dik T. Winter
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6/11/09
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Virgil
6/11/09
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6/11/09
Read Re: Answer to Dik T. Winter
mueckenh@rz.fh-augsburg.de
6/11/09
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Virgil
6/11/09
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6/11/09
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Virgil
6/12/09
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herb z
6/12/09
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Virgil
6/12/09
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6/12/09
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Virgil
6/12/09
Read Re: Answer to Dik T. Winter
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6/12/09
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Virgil
6/11/09
Read Re: Answer to Dik T. Winter
Virgil
6/11/09
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Dik T. Winter
6/11/09
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William Hughes
6/11/09
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6/11/09
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YBM
6/11/09
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Virgil
6/11/09
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Dik T. Winter
6/12/09
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mueckenh@rz.fh-augsburg.de
6/12/09
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Virgil
6/12/09
Read Re: Answer to Dik T. Winter
mueckenh@rz.fh-augsburg.de
6/12/09
Read Re: Answer to Dik T. Winter
Virgil
6/19/09
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Dik T. Winter
6/19/09
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mueckenh@rz.fh-augsburg.de
6/19/09
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Virgil
6/22/09
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Dik T. Winter
6/25/09
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mueckenh@rz.fh-augsburg.de
6/25/09
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Virgil
6/30/09
Read Re: Answer to Dik T. Winter
Dik T. Winter
6/30/09
Read Re: Answer to Dik T. Winter
Virgil
6/30/09
Read Re: Answer to Dik T. Winter
Guest
6/30/09
Read Re: Answer to Dik T. Winter
mueckenh@rz.fh-augsburg.de
7/1/09
Read Re: Answer to Dik T. Winter
Dik T. Winter
6/11/09
Read Re: Answer to Dik T. Winter
mueckenh@rz.fh-augsburg.de
6/11/09
Read Re: Answer to Dik T. Winter
Virgil
6/3/09
Read Re: Answer to Dik T. Winter
mueckenh@rz.fh-augsburg.de
6/3/09
Read Re: Answer to Dik T. Winter
Virgil
6/3/09
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Dik T. Winter
6/7/09
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mueckenh@rz.fh-augsburg.de
6/7/09
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Virgil
6/11/09
Read Re: Answer to Dik T. Winter
Dik T. Winter
6/3/09
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george
5/29/09
Read Re: Answer to Dik T. Winter
mueckenh@rz.fh-augsburg.de
5/29/09
Read Re: Answer to Dik T. Winter
Virgil
5/30/09
Read Re: Answer to Dik T. Winter
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5/30/09
Read Re: Answer to Dik T. Winter
Virgil
5/31/09
Read Re: Answer to Dik T. Winter
mueckenh@rz.fh-augsburg.de
5/31/09
Read Re: Answer to Dik T. Winter
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5/31/09
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5/27/09
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Virgil
5/28/09
Read Who introduced false logic?
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5/28/09
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5/30/09
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5/30/09
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5/30/09
Read Re: Who introduced false logic?
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5/30/09
Read Re: Answer to Dik T. Winter
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5/30/09
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Virgil
5/30/09
Read Re: Answer to Dik T. Winter
Ralf Bader
5/27/09
Read Natural numbers are uniquely defined
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5/27/09
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5/27/09
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5/27/09
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5/27/09
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5/28/09
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5/28/09
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5/29/09
Read Re: Natural numbers are uniquely defined
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5/29/09
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5/29/09
Read Re: Natural numbers are uniquely defined
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5/29/09
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5/29/09
Read Re: Natural numbers are uniquely defined
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5/30/09
Read Re: Natural numbers are uniquely defined
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5/30/09
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Virgil
5/30/09
Read Re: Natural numbers are uniquely defined
Peter Webb
5/31/09
Read Re: Natural numbers are uniquely defined
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5/31/09
Read Re: Natural numbers are uniquely defined
Virgil
5/31/09
Read Re: Natural numbers are uniquely defined
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5/31/09
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Peter Webb
5/31/09
Read Re: Natural numbers are uniquely defined
Virgil
6/1/09
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6/1/09
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6/1/09
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6/1/09
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Virgil
6/2/09
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george
6/1/09
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mueckenh@rz.fh-augsburg.de
6/1/09
Read Re: Natural numbers are uniquely defined
Virgil
6/2/09
Read Re: Natural numbers are uniquely defined
george
6/2/09
Read Re: Natural numbers are uniquely defined
george
6/2/09
Read Re: Natural numbers are uniquely defined
george
6/3/09
Read Re: Natural numbers are uniquely defined
george
6/12/09
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2/5/13
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6/14/09
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6/14/09
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Virgil
6/14/09
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mueckenh@rz.fh-augsburg.de
6/14/09
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Virgil
6/15/09
Read Re: Answer to Dik T. Winter
Owen Jacobson
6/15/09
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Virgil
6/15/09
Read Re: Answer to Dik T. Winter
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6/15/09
Read Re: Answer to Dik T. Winter
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6/15/09
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6/15/09
Read Re: Answer to Dik T. Winter
Virgil
6/16/09
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6/16/09
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6/16/09
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Virgil
6/18/09
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6/18/09
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Virgil
6/20/09
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