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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 18, 2009 3:03 PM
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In article
<556f71b5-452d-41d1-a00a-b6aef151bd36@l8g2000vbp.googlegroups.com>,
WM <mueckenh@rz.fh-augsburg.de> wrote:

> On 18 Jun., 14:44, 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."
> >
> > A: actually infinite paths exist,
> > B: the infinite tree contains a path p that can be
> >    distinguished from every path of P.
> >
> > You agree
> >
> >  A ==> B
> >
> > So if A is true then B is true
> > and your claim is false.
> >
> > You want to show
> >
> > ~A  [Follows from ( A ==> B, ~B) ==> ~A ]
> >
> > by proving ~B
> >
> > (Note that assuming ~A is circular)
> >
> > <snip evasion>
> >
> > Please answer yes or no
> >
> >     t is not an element of P
> >

>
> The actually infinite path t is not an element of P and not a path of
> T, because t does not exist.




WE have an actually infinite set of naturals N = {1, 2, 3, ...}.
WE can make that set into the set of nodes of a maximal infinite binary
tree by assigning to each natural N a left child, 2+n + 0 ,and a right
child, 2*n+1.


Note that we have, a priori, no paths at all but, a postiori,
uncountably many of them

> Proof by the fact that t cannot be distinguished from the set P after
> its elements have been ordered as paths of the tree.


In my tree, if P is only countably infinite, as a set of subsets of N,
then there are more paths in the tree not in P than in it, even if the
union of P is the set of all nodes.

One of WM's models of P would be, in my tree as defined above, the set
of paths having at most finitely many odd naturals as nodes.

And WM tries to claim that among a family sets, P, with each set limited
to finitely many odd naturals there must be a set containing infinitely
many odd naturals.

Sorry, WM, but that claim fails.

--
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
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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
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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
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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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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
Read Re: Answer to Dik T. Winter
Ralf Bader
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
Read Re: Answer to Dik T. Winter
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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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
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Virgil
6/11/09
Read Re: Answer to Dik T. Winter
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
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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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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6/13/09
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mueckenh@rz.fh-augsburg.de
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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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Virgil
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
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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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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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William Hughes
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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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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mueckenh@rz.fh-augsburg.de
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6/15/09
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6/15/09
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6/15/09
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6/15/09
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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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6/16/09
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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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6/16/09
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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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Virgil
6/17/09
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William Hughes
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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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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6/17/09
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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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mueckenh@rz.fh-augsburg.de
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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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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george
6/3/09
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Virgil
6/3/09
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Guest
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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mueckenh@rz.fh-augsburg.de
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6/7/09
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mueckenh@rz.fh-augsburg.de
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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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Virgil
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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Virgil
6/10/09
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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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6/12/09
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6/3/09
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6/3/09
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5/29/09
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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
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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
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MeAmI.org
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
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
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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
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Dik T. Winter
7/3/09
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G. Frege
7/3/09
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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
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
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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
Read Re: Answer to Dik T. Winter
mueckenh@rz.fh-augsburg.de
7/2/09
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ross.finlayson@gmail.com
7/2/09
Read Re: Answer to Dik T. Winter
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
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
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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
Read Re: Answer to Dik T. Winter
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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Jack Markan
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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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
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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
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herb z
6/12/09
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Virgil
6/12/09
Read Re: Answer to Dik T. Winter
Owen Jacobson
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
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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
Read Re: Answer to Dik T. Winter
William Hughes
6/11/09
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mueckenh@rz.fh-augsburg.de
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
Read Re: Answer to Dik T. Winter
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
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
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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
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
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Guest
5/27/09
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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
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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
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
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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
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