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Topic: Answer to Dik T. Winter
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Virgil

Posts: 311
Registered: 5/26/09
Re: Answer to Dik T. Winter
Posted: Jun 16, 2009 1:57 PM
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In article
<bf8603a8-ed62-48a7-afc3-6bfaeeb8bb91@y9g2000yqg.googlegroups.com>,
WM <mueckenh@rz.fh-augsburg.de> wrote:


> If actually infinite paths exist, then there is a path p that can be
> distinguished from every path of P.
> And:
> There is no path p that can be distinguished from every path of P.
>
> This kind of proof is called proof by contradiction or modus tollens:
> ((A ==> B) & ~B) ==> ~A


But WM has not proved either. If the node set of a maximal infinite
binary tree tree is actually infinite and P is any countable or finite
set of paths (or other sets of nodes) of that tree (where a path is any
maximal linear subset of the set of nodes under the ancestor relation)
then there are paths not members of P.

And any such non-member path can be distinguished from all members of P.

> >
> > Irrelevant, you distinguish p from every element of P

>
> Not after they have been written in form of tree.


The set P does not contain, as a member, after a construction of a tree
anything that P did not contain, as a member, before that construction.

So that if P starts either finite countably infinite, it remains so, but
the set of ALL paths in a maximal infinite binary tee, regardless of how
it may have been "constructed", is uncountably infinite, a la Cantor.
> >
> > > Every path of the tree is is from P.
> >
> > Nope.  Every *node* of the tree is from P.

>
> Every path of the tree is from P. I explicitly forbid every other path
> to enter my tree.


Then your tree is not maximal, and may not even be a tree in the sense
that there will be in it linearly ordered sets of nodes which are not
subsets of any path.

> But, surprise, there is no other path willing to do
> so.


Maybe not in those quasi-trees that WM "constructs" but if WM's the
member paths of WM's P are countable in cardinality, then there will be
sets of nodes satisfying all the requirements of pathhood in the
constructed tree that are not in WM's P.

> What kind of path should apply, after I have every node of the
> tree covered with a path of P?


All those uncountably many maximal linearly-ordered sets of nodes that
are not members of P.
>
> > However, there is a *subset of nodes* in the tree that is not
> > contained in one element of P.

>
> Wrong. Every node and every subset of nodes is in a path of P.



It is WM who is dead wrong about that, apparently because he does not
even understand what paths are.

There are all kinds of "subsets of nodes" which cannot be members of any
path. For example, no path can contain both children of any parent node.

And if P is countable, then its member paths can be listed and the
Cantor construction produces a path not in P



> ideas you talk about are not realized by digits or bits or nodes

They are "realized" in the imagination of those whose imaginations are
not as crippled s WM's, which is all that is needed in mathematics.

--
Virgil


Date Subject Author
5/27/09
Read Answer to Dik T. Winter
mueckenh@rz.fh-augsburg.de
5/27/09
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Dik T. Winter
5/27/09
Read Re: Answer to Dik T. Winter
mueckenh@rz.fh-augsburg.de
5/27/09
Read Answer to Tim Little, I. Walker et al.
mueckenh@rz.fh-augsburg.de
5/27/09
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Virgil
5/27/09
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mueckenh@rz.fh-augsburg.de
5/27/09
Read Re: Answer to Tim Little, I. Walker et al.
Virgil
5/27/09
Read Re: Answer to Dik T. Winter
Virgil
5/28/09
Read Re: Answer to Tim Little, I. Walker et al.
mueckenh@rz.fh-augsburg.de
5/28/09
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Virgil
5/28/09
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Dik T. Winter
5/28/09
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5/28/09
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5/29/09
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5/29/09
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G. Frege
5/29/09
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Dik T. Winter
5/30/09
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G. Frege
5/30/09
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6/2/09
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Dik T. Winter
5/30/09
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Jesse F. Hughes
5/30/09
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6/1/09
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mueckenh@rz.fh-augsburg.de
6/1/09
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Jesse F. Hughes
6/1/09
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Virgil
6/2/09
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george
6/2/09
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Denis Feldmann
6/2/09
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Dik T. Winter
6/11/09
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6/11/09
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Virgil
6/11/09
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William Hughes
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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William Hughes
6/11/09
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Guest
6/11/09
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mueckenh@rz.fh-augsburg.de
6/11/09
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Virgil
6/11/09
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William Hughes
6/12/09
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mueckenh@rz.fh-augsburg.de
6/12/09
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Virgil
6/12/09
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William Hughes
6/12/09
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mueckenh@rz.fh-augsburg.de
6/12/09
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Virgil
6/12/09
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William Hughes
6/12/09
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mueckenh@rz.fh-augsburg.de
6/12/09
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Virgil
6/12/09
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William Hughes
6/12/09
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mueckenh@rz.fh-augsburg.de
6/12/09
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Virgil
6/12/09
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William Hughes
6/12/09
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mueckenh@rz.fh-augsburg.de
6/12/09
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Virgil
6/12/09
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mueckenh@rz.fh-augsburg.de
6/12/09
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Virgil
6/12/09
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William Hughes
6/13/09
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mueckenh@rz.fh-augsburg.de
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Virgil
6/13/09
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mueckenh@rz.fh-augsburg.de
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Virgil
6/13/09
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mueckenh@rz.fh-augsburg.de
6/13/09
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Virgil
6/13/09
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William Hughes
6/13/09
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mueckenh@rz.fh-augsburg.de
6/13/09
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Virgil
6/13/09
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William Hughes
6/13/09
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mueckenh@rz.fh-augsburg.de
6/13/09
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Virgil
6/13/09
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William Hughes
6/13/09
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mueckenh@rz.fh-augsburg.de
6/13/09
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Virgil
6/13/09
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William Hughes
6/13/09
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mueckenh@rz.fh-augsburg.de
6/13/09
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6/14/09
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6/13/09
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mueckenh@rz.fh-augsburg.de
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6/13/09
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6/14/09
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mueckenh@rz.fh-augsburg.de
6/14/09
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6/14/09
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6/14/09
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6/14/09
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mueckenh@rz.fh-augsburg.de
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6/14/09
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6/15/09
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6/16/09
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6/16/09
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6/16/09
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6/16/09
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6/16/09
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6/17/09
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6/17/09
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6/17/09
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6/17/09
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6/17/09
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6/17/09
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6/17/09
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6/17/09
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6/17/09
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6/17/09
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6/17/09
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6/17/09
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6/18/09
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6/18/09
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6/18/09
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6/18/09
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6/18/09
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6/18/09
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6/19/09
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6/19/09
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6/19/09
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6/19/09
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6/19/09
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6/19/09
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6/19/09
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6/19/09
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6/19/09
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mueckenh@rz.fh-augsburg.de
6/19/09
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6/19/09
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William Hughes
6/19/09
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mueckenh@rz.fh-augsburg.de
6/19/09
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6/19/09
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William Hughes
6/20/09
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6/20/09
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6/20/09
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William Hughes
6/20/09
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mueckenh@rz.fh-augsburg.de
6/20/09
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6/20/09
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William Hughes
6/20/09
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mueckenh@rz.fh-augsburg.de
6/20/09
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6/20/09
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William Hughes
6/20/09
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6/20/09
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6/20/09
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6/20/09
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6/2/09
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6/2/09
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6/3/09
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6/3/09
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6/3/09
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6/3/09
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6/3/09
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6/7/09
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Dik T. Winter
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
Read Re: Answer to Dik T. Winter
Dik T. Winter
6/19/09
Read Re: Answer to Dik T. Winter
mueckenh@rz.fh-augsburg.de
6/19/09
Read Re: Answer to Dik T. Winter
Virgil
6/22/09
Read Re: Answer to Dik T. Winter
Dik T. Winter
6/25/09
Read Re: Answer to Dik T. Winter
mueckenh@rz.fh-augsburg.de
6/25/09
Read Re: Answer to Dik T. Winter
Virgil
6/30/09
Read Re: Answer to Dik T. Winter
Dik T. Winter
6/30/09
Read Re: Answer to Dik T. Winter
mueckenh@rz.fh-augsburg.de
6/30/09
Read Re: Answer to Dik T. Winter
MeAmI.org
6/30/09
Read Re: Answer to Dik T. Winter
Virgil
7/1/09
Read Re: Answer to Dik T. Winter
Dik T. Winter
7/2/09
Read Re: Answer to Dik T. Winter
G. Frege
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
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
Read Re: Answer to Dik T. Winter
G. Frege
7/3/09
Read Re: Answer to Dik T. Winter
Aatu Koskensilta
7/3/09
Read Re: Answer to Dik T. Winter
Daryl McCullough
7/2/09
Read Re: Answer to Dik T. Winter
G. Frege
7/2/09
Read Re: Answer to Dik T. Winter
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
Read Re: Answer to Dik T. Winter
G. Frege
7/2/09
Read Re: Answer to Dik T. Winter
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
Read Re: Answer to Dik T. Winter
Dik T. Winter
7/3/09
Read Re: Answer to Dik T. Winter
G. Frege
7/3/09
Read Re: Answer to Dik T. Winter
Dik T. Winter
7/3/09
Read Re: Answer to Dik T. Winter
G. Frege
7/4/09
Read Re: Answer to Dik T. Winter
Aatu Koskensilta
7/6/09
Read Re: Answer to Dik T. Winter
Dik T. Winter
7/6/09
Read Re: Answer to Dik T. Winter
G. Frege
7/6/09
Read Re: Answer to Dik T. Winter
Dik T. Winter
7/6/09
Read Re: Answer to Dik T. Winter
Jesse F. Hughes
7/3/09
Read Re: Answer to Dik T. Winter
mueckenh@rz.fh-augsburg.de
7/3/09
Read Re: Answer to Dik T. Winter
Virgil
7/3/09
Read Re: Answer to Dik T. Winter
Ralf Bader
7/2/09
Read Re: Answer to Dik T. Winter
G. Frege
7/2/09
Read Re: Answer to Dik T. Winter
Virgil
7/2/09
Read Re: Answer to Dik T. Winter
mueckenh@rz.fh-augsburg.de
7/2/09
Read Re: Answer to Dik T. Winter
ross.finlayson@gmail.com
7/2/09
Read Re: Answer to Dik T. Winter
mueckenh@rz.fh-augsburg.de
7/2/09
Read Re: Answer to Dik T. Winter
Jack Markan
7/2/09
Read Re: Answer to Dik T. Winter
Jack Markan
7/2/09
Read Re: Answer to Dik T. Winter
Virgil
7/2/09
Read Re: Answer to Dik T. Winter
ross.finlayson@gmail.com
7/2/09
Read Re: Answer to Dik T. Winter
Jack Markan
7/2/09
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
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
Read Re: Answer to Dik T. Winter
Jack Markan
6/8/09
Read Re: Answer to Dik T. Winter
mueckenh@rz.fh-augsburg.de
6/8/09
Read Re: Answer to Dik T. Winter
Virgil
6/9/09
Read Re: Answer to Dik T. Winter
Jack Markan
6/9/09
Read Re: Answer to Dik T. Winter
Jack Markan
6/9/09
Read Re: Answer to Dik T. Winter
Virgil
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
6/11/09
Read Re: Answer to Dik T. Winter
William Hughes
6/11/09
Read Re: Answer to Dik T. Winter
Virgil
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
6/11/09
Read Re: Answer to Dik T. Winter
mueckenh@rz.fh-augsburg.de
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
6/11/09
Read Re: Answer to Dik T. Winter
mueckenh@rz.fh-augsburg.de
6/11/09
Read Re: Answer to Dik T. Winter
Virgil
6/12/09
Read Re: Answer to Dik T. Winter
herb z
6/12/09
Read Re: Answer to Dik T. Winter
Virgil
6/12/09
Read Re: Answer to Dik T. Winter
Owen Jacobson
6/12/09
Read Re: Answer to Dik T. Winter
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
6/11/09
Read Re: Answer to Dik T. Winter
Virgil
6/11/09
Read Re: Answer to Dik T. Winter
Dik T. Winter
6/11/09
Read Re: Answer to Dik T. Winter
William Hughes
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
YBM
6/11/09
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Virgil
6/11/09
Read Re: Answer to Dik T. Winter
Dik T. Winter
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
6/12/09
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
Read Re: Answer to Dik T. Winter
Dik T. Winter
6/19/09
Read Re: Answer to Dik T. Winter
mueckenh@rz.fh-augsburg.de
6/19/09
Read Re: Answer to Dik T. Winter
Virgil
6/22/09
Read Re: Answer to Dik T. Winter
Dik T. Winter
6/25/09
Read Re: Answer to Dik T. Winter
mueckenh@rz.fh-augsburg.de
6/25/09
Read Re: Answer to Dik T. Winter
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
Read Re: Answer to Dik T. Winter
Dik T. Winter
6/7/09
Read Re: Answer to Dik T. Winter
mueckenh@rz.fh-augsburg.de
6/7/09
Read Re: Answer to Dik T. Winter
Virgil
6/11/09
Read Re: Answer to Dik T. Winter
Dik T. Winter
6/3/09
Read Re: Answer to Dik T. Winter
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
mueckenh@rz.fh-augsburg.de
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
Virgil
5/31/09
Read Re: Answer to Dik T. Winter
Guest
5/27/09
Read Re: Answer to Dik T. Winter
Virgil
5/28/09
Read Who introduced false logic?
mueckenh@rz.fh-augsburg.de
5/28/09
Read Re: Who introduced false logic?
Virgil
5/30/09
Read Re: Who introduced false logic?
mueckenh@rz.fh-augsburg.de
5/30/09
Read Re: Who introduced false logic?
Virgil
5/30/09
Read Re: Who introduced false logic?
Virgil
5/30/09
Read Re: Answer to Dik T. Winter
Virgil
5/30/09
Read Re: Answer to Dik T. Winter
Virgil
5/30/09
Read Re: Answer to Dik T. Winter
Ralf Bader
5/27/09
Read Natural numbers are uniquely defined
mueckenh@rz.fh-augsburg.de
5/27/09
Read Re: Natural numbers are uniquely defined
David C. Ullrich
5/27/09
Read Re: Natural numbers are uniquely defined
Virgil
5/27/09
Read Re: Natural numbers are uniquely defined
Guest
5/27/09
Read Re: Natural numbers are uniquely defined
mueckenh@rz.fh-augsburg.de
5/28/09
Read Re: Natural numbers are uniquely defined
mueckenh@rz.fh-augsburg.de
5/28/09
Read Re: Natural numbers are uniquely defined
Virgil
5/29/09
Read Re: Natural numbers are uniquely defined
Peter Webb
5/29/09
Read Re: Natural numbers are uniquely defined
Virgil
5/29/09
Read Re: Natural numbers are uniquely defined
mueckenh@rz.fh-augsburg.de
5/29/09
Read Re: Natural numbers are uniquely defined
Virgil
5/29/09
Read Re: Natural numbers are uniquely defined
Peter Webb
5/30/09
Read Re: Natural numbers are uniquely defined
mueckenh@rz.fh-augsburg.de
5/30/09
Read Re: Natural numbers are uniquely defined
Virgil
5/30/09
Read Re: Natural numbers are uniquely defined
Peter Webb
5/31/09
Read Re: Natural numbers are uniquely defined
mueckenh@rz.fh-augsburg.de
5/31/09
Read Re: Natural numbers are uniquely defined
Virgil
5/31/09
Read Re: Natural numbers are uniquely defined
mueckenh@rz.fh-augsburg.de
5/31/09
Read Re: Natural numbers are uniquely defined
Peter Webb
5/31/09
Read Re: Natural numbers are uniquely defined
Virgil
6/1/09
Read Re: Natural numbers are uniquely defined
mueckenh@rz.fh-augsburg.de
6/1/09
Read Re: Natural numbers are uniquely defined
David Bernier
6/1/09
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Jack Markan
6/1/09
Read Re: Natural numbers are uniquely defined
Virgil
6/2/09
Read Re: Natural numbers are uniquely defined
george
6/1/09
Read Re: Natural numbers are uniquely defined
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
Read Re: Answer to Dik T. Winter
Guest
2/5/13
Read Re: Answer to Dik T. Winter
6/14/09
Read Re: Answer to Dik T. Winter
mueckenh@rz.fh-augsburg.de
6/14/09
Read Re: Answer to Dik T. Winter
Virgil
6/14/09
Read Re: Answer to Dik T. Winter
mueckenh@rz.fh-augsburg.de
6/14/09
Read Re: Answer to Dik T. Winter
Virgil
6/15/09
Read Re: Answer to Dik T. Winter
Owen Jacobson
6/15/09
Read Re: Answer to Dik T. Winter
Virgil
6/15/09
Read Re: Answer to Dik T. Winter
mueckenh@rz.fh-augsburg.de
6/15/09
Read Re: Answer to Dik T. Winter
Owen Jacobson
6/15/09
Read Re: Answer to Dik T. Winter
Virgil
6/15/09
Read Re: Answer to Dik T. Winter
Virgil
6/16/09
Read Re: Answer to Dik T. Winter
MeAmI.org
6/16/09
Read Re: Answer to Dik T. Winter
mueckenh@rz.fh-augsburg.de
6/16/09
Read Re: Answer to Dik T. Winter
Virgil
6/18/09
Read Re: Answer to Dik T. Winter
mueckenh@rz.fh-augsburg.de
6/18/09
Read Re: Answer to Dik T. Winter
Virgil
6/20/09
Read Re: Answer to Dik T. Winter
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