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

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Virgil

Posts: 311
Registered: 5/26/09
Re: Answer to Dik T. Winter
Posted: Jun 12, 2009 6:19 PM
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In article
<257f6992-e801-43b8-a5df-30be71217db4@z9g2000yqi.googlegroups.com>,
WM <mueckenh@rz.fh-augsburg.de> wrote:

> On 12 Jun., 22:23, Virgil <virg...@nowhere.com> wrote:
>

> >
> > > Sorry, that is impossible. Every node of path p and every set of nodes
> > > of path p is covered by one or more paths of P.

> >
> > Is P a set of paths or merely a set of nodes?

>
> It is a set of paths.

> >
> > If it is a set of paths, then it must contain all uncountably many paths
> > or there will be a path which is not member of it.

>
> Wrong. All countably many terminating paths are sufficient to cover
> all nodes of the tree.


But paths are not mere nodes, they are sets of nodes, and while every
node many be a member of a member of P, that does not imply that every
any particular subset of the set f nodes is a member of P.
That does not even hold for finite sets.

The set {{a},{b},{c}} contains every member of {a,b,c} as a member of a
member but does NOT contain as a member every subset of {a,b,c}.
For example {a,b} and {a,c} and {b,c} are not members nor subsets of
{{a},{b},{c}}.

WM needs to go back to set theory kindergarten, and brush up.


> >
> >
> >

> > > > So it is possible to contruct another path, p,  which can be
> > > > distinguished from every element of P.

> >
> > > That is impossible. The path p_0 = 0.111... for instance is completely
> > > covered  by terminating paths, whether or not it had been inserted
> > > originally.

> >
> > If P is only a set of terminating paths then no non-terminating path
> > will be a member of it.

>
> All non-terminating paths are in the tree constructed by P.


But not in P itself.
Since P is countable it can be put into a list which necessarily has an
anti-diagonal not in P. Actually, at least as many anti-diagonals as
members.

--
Virgil


Date Subject Author
5/27/09
Read Answer to Dik T. Winter
mueckenh@rz.fh-augsburg.de
5/27/09
Read Re: Answer to Dik T. Winter
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
Read Re: Answer to Tim Little, I. Walker et al.
Virgil
5/27/09
Read Re: Answer to Tim Little, I. Walker et al.
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
Read Re: Answer to Tim Little, I. Walker et al.
Virgil
5/28/09
Read Re: Answer to Dik T. Winter
Dik T. Winter
5/28/09
Read Re: Answer to Dik T. Winter
G. Frege
5/28/09
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Jesse F. Hughes
5/29/09
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Dik T. Winter
5/29/09
Read Re: Answer to Dik T. Winter
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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Jesse F. Hughes
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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Ralf Bader
6/1/09
Read Re: Answer to Dik T. Winter
mueckenh@rz.fh-augsburg.de
6/1/09
Read Re: Answer to Dik T. Winter
Jesse F. Hughes
6/1/09
Read Re: Answer to Dik T. Winter
Virgil
6/2/09
Read Re: Answer to Dik T. Winter
george
6/2/09
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6/2/09
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Dik T. Winter
6/11/09
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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
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
Guest
6/11/09
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mueckenh@rz.fh-augsburg.de
6/11/09
Read Re: Answer to Dik T. Winter
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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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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mueckenh@rz.fh-augsburg.de
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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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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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6/14/09
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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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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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6/14/09
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mueckenh@rz.fh-augsburg.de
6/14/09
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Virgil
6/14/09
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6/14/09
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mueckenh@rz.fh-augsburg.de
6/14/09
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Virgil
6/14/09
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William Hughes
6/14/09
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mueckenh@rz.fh-augsburg.de
6/14/09
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Virgil
6/14/09
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6/14/09
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mueckenh@rz.fh-augsburg.de
6/14/09
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Virgil
6/14/09
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mueckenh@rz.fh-augsburg.de
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mueckenh@rz.fh-augsburg.de
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mueckenh@rz.fh-augsburg.de
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6/15/09
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6/15/09
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mueckenh@rz.fh-augsburg.de
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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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mueckenh@rz.fh-augsburg.de
6/16/09
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Virgil
6/16/09
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mueckenh@rz.fh-augsburg.de
6/16/09
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6/16/09
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6/17/09
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mueckenh@rz.fh-augsburg.de
6/17/09
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Virgil
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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mueckenh@rz.fh-augsburg.de
6/17/09
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6/17/09
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William Hughes
6/17/09
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mueckenh@rz.fh-augsburg.de
6/17/09
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Virgil
6/17/09
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William Hughes
6/17/09
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mueckenh@rz.fh-augsburg.de
6/17/09
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7/17/09
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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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Virgil
6/17/09
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6/17/09
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mueckenh@rz.fh-augsburg.de
6/17/09
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Virgil
6/17/09
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mueckenh@rz.fh-augsburg.de
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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mueckenh@rz.fh-augsburg.de
6/18/09
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6/18/09
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6/18/09
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mueckenh@rz.fh-augsburg.de
6/18/09
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6/18/09
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6/19/09
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mueckenh@rz.fh-augsburg.de
6/19/09
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Virgil
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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Virgil
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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Virgil
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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Virgil
6/19/09
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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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Virgil
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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Virgil
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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Virgil
6/20/09
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William Hughes
6/20/09
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george
6/20/09
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george
6/20/09
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Virgil
6/20/09
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george
6/2/09
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george
6/2/09
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6/3/09
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6/3/09
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mueckenh@rz.fh-augsburg.de
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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6/3/09
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6/3/09
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6/7/09
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6/7/09
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6/7/09
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6/7/09
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6/8/09
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6/8/09
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6/9/09
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6/9/09
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6/9/09
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6/9/09
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6/10/09
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6/10/09
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6/10/09
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6/10/09
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mueckenh@rz.fh-augsburg.de
6/10/09
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6/11/09
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6/11/09
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6/11/09
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6/11/09
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6/11/09
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6/11/09
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6/11/09
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6/12/09
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6/3/09
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5/29/09
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Virgil
6/30/09
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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
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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
Read Re: Answer to Dik T. Winter
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
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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
Read Re: Natural numbers are uniquely defined
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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