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Topic: Why can no one in sci.math understand my simple point?
Replies: 658   Last Post: Feb 17, 2013 10:15 AM

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mueckenh@rz.fh-augsburg.de

Posts: 15,067
Registered: 1/29/05
Re: Why can no one in sci.math understand my simple point?
Posted: Jun 22, 2010 5:38 AM
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On 22 Jun., 01:32, Virgil <Vir...@home.esc> wrote:
> In article
> <e0b8cbfa-70a9-4be3-a08f-117e0af7f...@q12g2000yqj.googlegroups.com>,
>
>
>
>
>
>  WM <mueck...@rz.fh-augsburg.de> wrote:

> > On 21 Jun., 22:17, Virgil <Vir...@home.esc> wrote:
>
> > > > But the set of all diagonals constructed according to the scheme given
> > > > above is countable but cannot be listed.

>
> > > Whatever do yu mean by "the set of all diagonals"?
> > > If you mean one "diagonal" for each possible list, that set of diagonals
> > > is not countable.
> > > If you mean the set of all "diagonals" for a single list, that is not
> > > countable either, since each of uncountably many permutations of the
> > > list produces a different "diagonal".

>
> > Take a list of all rationals. Construct, accordingto a given
> > substitution rule the antidiagonal. Add it at first position to the
> > list. Construct, according to the given rule the antidiagonal, add
> > it ... and so on.

>
> You are saying given a list, create its anti-diagonal and prepend it to
> that list. Repeat with the new list ad infinitum.
>
>
>

> > The number of antidiagonal is countable. Nevertheless it cannot be
> > listed.

>
> I see no problem in listing the set of such anti-diagonals.


Including all rational numbers!

> They can
> even be listed in the order in which each anti-diagonal is to be created.
>
> Note that the list of anti-diagonals so far created is finite so long as
> the number of iterations is finite, and only becomes infinite when the
> process achieves infinitely many iterations, and thus it is countable.
>
> Which such anti-diagonals does WM claim remain unlisted?


That of the intended list of all those antidiagonals and all rational
numbers.
>

> > The complete infinite binary tree contains, by definition, all real
> > numbers between 0 and 1 as infinite paths, i. e., as infinite
> > sequences { 0, 1 }^N of bits.

>
> >              0,
> >           /      \
> >        0          1
> >      /    \     /     \
> >    0      1  0      1
> >   /
> > 0 ...

>
> > The set  { K_k | k in N } of nodes K_k of the tree is countable.
>
> >             K_0
> >           /        \
> >       K_1      K_2
> >     /      \     /       \
> >   K_3 K_4 K_5 K_6
> >   /
> > K_7 ...

>
> > The tree is constructed by extending the configurations B_j as
> > explained below:

>
> > _________________
> > B_0 =

>
> >              K_0
> > _________________
> > B_1 =

>
> >              K_0
> >             /
> >         K_1
> > _________________
> > B_2 =

>
> >             K_0
> >           /        \
> >       K_1      K_2
> > _________________
> > B_3 =

>
> >             K_0
> >           /        \
> >       K_1      K_2
> >     /
> >   K_3
> > _________________

>
> > B_4 =
>
> >             K_0
> >           /        \
> >       K_1      K_2
> >     /    \
> >   K_3 K_4
> > _________________
> > ...
> > _________________
> > B_j =

>
> >            K_0
> >           /        \
> >       K_1      K_2
> >     /    \
> >   K_3 K_4 ...
> >            ...
> >        ...    K_j
> > _________________
> > ...
> > _________________

>
> > The complete infinite binary tree (including all those infinite paths
> > which consist of nodes and edges only) is constructed by a countable
> > number of steps. In no step more than one infinite paths is extended.
> > Hence there are not more than countably many infinite paths.

>
> I have no idea what sort of definition of "countability" of infinite
> sets that WM is using,


I know that you cannot read the above text.
But perhaps somewhat else can.

Regards, WM



Date Subject Author
6/15/10
Read Why can no one in sci.math understand my simple point?
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Read Re: Why can no one in sci.math understand my simple point? Because yur logic is too blunted to make any point.
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6/27/10
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6/28/10
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fishfry
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6/15/10
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6/15/10
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6/16/10
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6/15/10
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6/16/10
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6/16/10
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6/16/10
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6/16/10
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6/16/10
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6/15/10
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6/15/10
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6/15/10
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6/15/10
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6/15/10
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6/15/10
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6/15/10
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6/15/10
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6/15/10
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6/15/10
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6/15/10
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6/15/10
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6/16/10
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6/15/10
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6/15/10
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6/15/10
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6/16/10
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6/16/10
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6/15/10
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6/15/10
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6/15/10
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6/16/10
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6/16/10
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6/15/10
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6/16/10
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6/15/10
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6/16/10
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6/16/10
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ross.finlayson@gmail.com
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Read Re: Why can no one in sci.math understand my simple point?
Virgil
6/20/10
Read Re: Why can no one in sci.math understand my simple point?
Peter Webb
6/20/10
Read Re: Why can no one in sci.math understand my simple point?
Virgil
6/17/10
Read Re: Why can no one in sci.math understand my simple point?
mueckenh@rz.fh-augsburg.de
6/17/10
Read Re: Why can no one in sci.math understand my simple point?
Virgil
6/17/10
Read Re: Why can no one in sci.math understand my simple point?
mueckenh@rz.fh-augsburg.de
6/17/10
Read Musatov responds to WM on Cantor: intelligence, real
, judge for yourself: Cantor’s idea seems to me to assume
because two sets converge to infinity the nature of infinity
and the number of elements in each set must become equal.
Guest
6/17/10
Read Re: Why can no one in sci.math understand my simple point?
Virgil
6/17/10
Read Re: Musatov responds to WM on Cantor: intelligence,
real, judge for yourself: Cantor’s idea seems to me to ass
ume because two sets converge to infinity the nature of infi
nity and the number of elements in each set must become equa
l.
lwalke3@lausd.net
2/17/13
Read Re: Musatov responds to WM on Cantor: intelligence,
real, judge for yourself: Cantor’s idea seems to me to ass
ume because two sets converge to infinity the nature of infi
nity and the number of elements in each set must become equa
l.
2/17/13
Read Re: Musatov responds to WM on Cantor: intelligence,
real, judge for yourself: Cantor’s idea seems to me to ass
ume because two sets converge to infinity the nature of infi
nity and the number of elements in each set must become equa
l.
6/16/10
Read Re: Why can no one in sci.math understand my simple point?
Peter Webb
6/17/10
Read Re: Why can no one in sci.math understand my simple point?
mueckenh@rz.fh-augsburg.de
6/17/10
Read Re: Why can no one in sci.math understand my simple point?
Virgil
6/17/10
Read Re: Why can no one in sci.math understand my simple point?
Peter Webb
6/18/10
Read Re: Why can no one in sci.math understand my simple point?
Virgil
6/18/10
Read Re: Why can no one in sci.math understand my simple point?
Peter Webb
6/18/10
Read Re: Why can no one in sci.math understand my simple point?
Tim Little
6/18/10
Read Re: Why can no one in sci.math understand my simple point?
Peter Webb
6/18/10
Read Re: Why can no one in sci.math understand my simple point?
Tim Little
6/18/10
Read Re: Why can no one in sci.math understand my simple point?
Peter Webb
6/18/10
Read Re: Why can no one in sci.math understand my simple point?
K_h
6/18/10
Read Re: Why can no one in sci.math understand my simple point?
Peter Webb
6/19/10
Read Re: Why can no one in sci.math understand my simple point?
K_h
6/19/10
Read Re: Why can no one in sci.math understand my simple point?
Peter Webb
6/19/10
Read Re: Why can no one in sci.math understand my simple point?
mueckenh@rz.fh-augsburg.de
6/19/10
Read Re: Why can no one in sci.math understand my simple point?
Virgil
6/19/10
Read Re: Why can no one in sci.math understand my simple point?
K_h
6/19/10
Read Re: Why can no one in sci.math understand my simple point?
Peter Webb
6/20/10
Read Re: Why can no one in sci.math understand my simple point?
K_h
6/21/10
Read Re: Why can no one in sci.math understand my simple point?
Owen Jacobson
6/21/10
Read Re: Why can no one in sci.math understand my simple point?
Peter Webb
6/21/10
Read Re: Why can no one in sci.math understand my simple point?
Owen Jacobson
6/19/10
Read Re: Why can no one in sci.math understand my simple point?
K_h
6/19/10
Read Re: Why can no one in sci.math understand my simple point?
Tim Little
6/19/10
Read Re: Why can no one in sci.math understand my simple point?
Peter Webb
6/19/10
Read Re: Why can no one in sci.math understand my simple point?
Tim Little
6/18/10
Read Re: Why can no one in sci.math understand my simple point?
Tim Little
6/18/10
Read Re: Why can no one in sci.math understand my simple point?
Peter Webb
6/18/10
Read Re: Why can no one in sci.math understand my simple point?
Tim Little
6/18/10
Read Re: Why can no one in sci.math understand my simple point?
Peter Webb
6/18/10
Read Re: Why can no one in sci.math understand my simple point?
Virgil
6/18/10
Read Re: Why can no one in sci.math understand my simple point?
Tim Little
6/18/10
Read Re: Why can no one in sci.math understand my simple point?
Peter Webb
6/19/10
Read Re: Why can no one in sci.math understand my simple point?
Tim Little
6/19/10
Read Re: Why can no one in sci.math understand my simple point?
Peter Webb
6/19/10
Read Re: Why can no one in sci.math understand my simple point?
Tim Little
6/19/10
Read Re: Why can no one in sci.math understand my simple point?
Peter Webb
6/19/10
Read Re: Why can no one in sci.math understand my simple point?
Daryl McCullough
6/19/10
Read Re: Why can no one in sci.math understand my simple point?
Daryl McCullough
6/19/10
Read Re: Why can no one in sci.math understand my simple point?
Peter Webb
6/20/10
Read Re: Why can no one in sci.math understand my simple point?
Tim Little
6/19/10
Read Re: Why can no one in sci.math understand my simple point?
mueckenh@rz.fh-augsburg.de
6/19/10
Read Re: Why can no one in sci.math understand my simple point?
Virgil
6/18/10
Read Re: Why can no one in sci.math understand my simple point?
Peter Webb
6/18/10
Read Re: Why can no one in sci.math understand my simple point?
Tim Little
6/18/10
Read Re: Why can no one in sci.math understand my simple point?
Peter Webb
6/19/10
Read Re: Why can no one in sci.math understand my simple point?
Tim Little
6/19/10
Read Re: Why can no one in sci.math understand my simple point?
Peter Webb
6/19/10
Read Re: Why can no one in sci.math understand my simple point?
Tim Little
6/19/10
Read Re: Why can no one in sci.math understand my simple point?
Peter Webb
6/20/10
Read Re: Why can no one in sci.math understand my simple point?
Tim Little
6/18/10
Read Re: Why can no one in sci.math understand my simple point?
Daryl McCullough
6/18/10
Read Re: Why can no one in sci.math understand my simple point?
Peter Webb
6/18/10
Read Re: Why can no one in sci.math understand my simple point?
Tim Little
6/18/10
Read Re: Why can no one in sci.math understand my simple point?
Peter Webb
6/19/10
Read Re: Why can no one in sci.math understand my simple point?
Tim Little
6/19/10
Read Re: Why can no one in sci.math understand my simple point?
Peter Webb
6/19/10
Read Re: Why can no one in sci.math understand my simple point?
Virgil
6/19/10
Read Re: Why can no one in sci.math understand my simple point?
Peter Webb
6/19/10
Read Re: Why can no one in sci.math understand my simple point?
Tim Little
6/20/10
Read Re: Why can no one in sci.math understand my simple point?
Peter Webb
6/20/10
Read Re: Why can no one in sci.math understand my simple point?
Tim Little
6/20/10
Read Re: Why can no one in sci.math understand my simple point?
Peter Webb
6/19/10
Read Re: Why can no one in sci.math understand my simple point?
Daryl McCullough
6/19/10
Read Re: Why can no one in sci.math understand my simple point?
mueckenh@rz.fh-augsburg.de
6/19/10
Read Re: Why can no one in sci.math understand my simple point?
Virgil
6/19/10
Read Re: Why can no one in sci.math understand my simple point?
Tim Little
6/19/10
Read Re: Why can no one in sci.math understand my simple point?
Peter Webb
6/19/10
Read Re: Why can no one in sci.math understand my simple point?
Tim Little
6/20/10
Read Re: Why can no one in sci.math understand my simple point?
Peter Webb
6/20/10
Read Re: Why can no one in sci.math understand my simple point?
Tim Little
6/20/10
Read Re: Why can no one in sci.math understand my simple point?
Peter Webb
6/20/10
Read Re: Why can no one in sci.math understand my simple point?
Tim Little
6/21/10
Read Re: Why can no one in sci.math understand my simple point?
Peter Webb
6/21/10
Read Re: Why can no one in sci.math understand my simple point?
Mike Terry
6/18/10
Read Re: Why can no one in sci.math understand my simple point?
Tim Little
6/18/10
Read Re: Why can no one in sci.math understand my simple point?
Peter Webb
6/18/10
Read Re: Why can no one in sci.math understand my simple point?
Tim Little
6/18/10
Read Re: Why can no one in sci.math understand my simple point?
Peter Webb
6/18/10
Read Re: Why can no one in sci.math understand my simple point?
mueckenh@rz.fh-augsburg.de
6/18/10
Read Re: Why can no one in sci.math understand my simple point?
Virgil
6/16/10
Read Re: Why can no one in sci.math understand my simple point?
Jack Markan
6/16/10
Read Re: Why can no one in sci.math understand my simple point?
Jack Markan
6/16/10
Read Re: Why can no one in sci.math understand my simple point?
Aatu Koskensilta
6/16/10
Read Re: Why can no one in sci.math understand my simple point?
Aatu Koskensilta
6/16/10
Read Re: Why can no one in sci.math understand my simple point?
Jack Markan
6/16/10
Read Re: Why can no one in sci.math understand my simple point?
mueckenh@rz.fh-augsburg.de
6/16/10
Read Re: Why can no one in sci.math understand my simple point?
Virgil
6/16/10
Read Re: Why can no one in sci.math understand my simple point?
Jack Markan
6/17/10
Read Re: Why can no one in sci.math understand my simple point?
Jack Markan
6/17/10
Read Re: Why can no one in sci.math understand my simple point?
mueckenh@rz.fh-augsburg.de
6/18/10
Read Re: Why can no one in sci.math understand my simple point?
mueckenh@rz.fh-augsburg.de
6/18/10
Read Re: Why can no one in sci.math understand my simple point?
Virgil
6/16/10
Read Re: Why can no one in sci.math understand my simple point?
Jack Markan
6/16/10
Read Re: Why can no one in sci.math understand my simple point?
mueckenh@rz.fh-augsburg.de
6/16/10
Read Re: Why can no one in sci.math understand my simple point?
Virgil
6/16/10
Read Re: Why can no one in sci.math understand my simple point?
Jack Markan
6/16/10
Read Re: Why can no one in sci.math understand my simple point?
Jack Markan
6/16/10
Read Re: Why can no one in sci.math understand my simple point?
mueckenh@rz.fh-augsburg.de
6/16/10
Read Re: Why can no one in sci.math understand my simple point?
Virgil
6/17/10
Read Re: Why can no one in sci.math understand my simple point?
mueckenh@rz.fh-augsburg.de
6/17/10
Read Re: Why can no one in sci.math understand my simple point?
Virgil
6/17/10
Read Re: Why can no one in sci.math understand my simple point?
Jack Markan
6/17/10
Read Re: Why can no one in sci.math understand my simple point?
mueckenh@rz.fh-augsburg.de
6/17/10
Read Re: Why can no one in sci.math understand my simple point?
Virgil
6/17/10
Read Re: Why can no one in sci.math understand my simple point?
Jack Markan
6/17/10
Read Re: Why can no one in sci.math understand my simple point?
Jack Markan
6/17/10
Read Re: Why can no one in sci.math understand my simple point?
lwalke3@lausd.net
2/17/13
Read Re: Why can no one in sci.math understand my simple point?
6/18/10
Read Re: Why can no one in sci.math understand my simple point?
mueckenh@rz.fh-augsburg.de
6/18/10
Read Re: Why can no one in sci.math understand my simple point?
Virgil
6/17/10
Read Re: Why can no one in sci.math understand my simple point?
Aatu Koskensilta
6/17/10
Read Re: Why can no one in sci.math understand my simple point?
mueckenh@rz.fh-augsburg.de
6/17/10
Read Re: Why can no one in sci.math understand my simple point?
lwalke3@lausd.net
6/17/10
Read Re: Why can no one in sci.math understand my simple point?
Virgil
6/17/10
Read Re: Why can no one in sci.math understand my simple point?
Sylvia Else
6/17/10
Read Re: Why can no one in sci.math understand my simple point?
mueckenh@rz.fh-augsburg.de
6/17/10
Read Re: Why can no one in sci.math understand my simple point?
Sylvia Else
6/17/10
Read Re: Why can no one in sci.math understand my simple point?
lwalke3@lausd.net
6/17/10
Read Re: Why can no one in sci.math understand my simple point?
|-|ercules
6/17/10
Read Re: Why can no one in sci.math understand my simple point?
Sylvia Else
6/18/10
Read Re: Why can no one in sci.math understand my simple point?
|-|ercules
6/18/10
Read Re: Why can no one in sci.math understand my simple point?
Sylvia Else
6/18/10
Read Re: Why can no one in sci.math understand my simple point?
|-|ercules
6/18/10
Read Re: Why can no one in sci.math understand my simple point?
Sylvia Else
6/18/10
Read Re: Why can no one in sci.math understand my simple point?
|-|ercules
6/18/10
Read Re: Why can no one in sci.math understand my simple point?
Sylvia Else
6/18/10
Read Re: Why can no one in sci.math understand my simple point?
mueckenh@rz.fh-augsburg.de
6/18/10
Read Re: Why can no one in sci.math understand my simple point?
Sylvia Else
6/18/10
Read Re: Why can no one in sci.math understand my simple point?
|-|ercules
6/18/10
Read Re: Why can no one in sci.math understand my simple point?
Sylvia Else
6/18/10
Read Re: Why can no one in sci.math understand my simple point?
|-|ercules
6/19/10
Read Re: Why can no one in sci.math understand my simple point?
Sylvia Else
6/19/10
Read Re: Why can no one in sci.math understand my simple point?
|-|ercules
6/19/10
Read Re: Why can no one in sci.math understand my simple point?
Sylvia Else
6/19/10
Read Re: Why can no one in sci.math understand my simple point?
|-|ercules
6/19/10
Read Re: Why can no one in sci.math understand my simple point?
Sylvia Else
6/19/10
Read Re: Why can no one in sci.math understand my simple point?
|-|ercules
6/20/10
Read Re: Why can no one in sci.math understand my simple point?
Sylvia Else
6/20/10
Read Re: Why can no one in sci.math understand my simple point?
|-|ercules
6/19/10
Read Re: Why can no one in sci.math understand my simple point?
mueckenh@rz.fh-augsburg.de
6/19/10
Read Re: Why can no one in sci.math understand my simple point?
Virgil
6/18/10
Read Re: Why can no one in sci.math understand my simple point?
Virgil
6/18/10
Read Re: Why can no one in sci.math understand my simple point?
mueckenh@rz.fh-augsburg.de
6/18/10
Read Re: Why can no one in sci.math understand my simple point?
Virgil
6/18/10
Read Re: Why can no one in sci.math understand my simple point?
|-|ercules
6/18/10
Read Re: Why can no one in sci.math understand my simple point?
Sylvia Else
6/19/10
Read Re: Why can no one in sci.math understand my simple point?
|-|ercules
6/19/10
Read Re: Why can no one in sci.math understand my simple point?
Sylvia Else
6/19/10
Read Re: Why can no one in sci.math understand my simple point?
|-|ercules
6/19/10
Read Re: Why can no one in sci.math understand my simple point?
Sylvia Else
6/19/10
Read Re: Why can no one in sci.math understand my simple point?
|-|ercules
6/20/10
Read Re: Why can no one in sci.math understand my simple point?
Sylvia Else
6/20/10
Read Re: Why can no one in sci.math understand my simple point?
|-|ercules
6/20/10
Read Re: Why can no one in sci.math understand my simple point?
Sylvia Else
6/20/10
Read Re: Why can no one in sci.math understand my simple point?
|-|ercules
6/20/10
Read Re: Why can no one in sci.math understand my simple point?
lwalke3@lausd.net
6/20/10
Read Re: Why can no one in sci.math understand my simple point?
|-|ercules
6/20/10
Read Re: Why can no one in sci.math understand my simple point?
|-|ercules
6/19/10
Read Re: Why can no one in sci.math understand my simple point?
mueckenh@rz.fh-augsburg.de
6/19/10
Read Re: Why can no one in sci.math understand my simple point?
Virgil
6/19/10
Read Re: Why can no one in sci.math understand my simple point?
mueckenh@rz.fh-augsburg.de
6/19/10
Read Re: Why can no one in sci.math understand my simple point?
Virgil
6/18/10
Read Re: Why can no one in sci.math understand my simple point?
mueckenh@rz.fh-augsburg.de
6/18/10
Read Re: Why can no one in sci.math understand my simple point?
Virgil
6/19/10
Read Re: Why can no one in sci.math understand my simple point?
mueckenh@rz.fh-augsburg.de
6/19/10
Read Re: Why can no one in sci.math understand my simple point?
Virgil
6/18/10
Read Re: Why can no one in sci.math understand my simple point?
ostap_bender_1900@hotmail.com
6/21/10
Read Re: Why can no one in sci.math understand my simple point?
Sylvia Else
6/22/10
Read Re: Why can no one in sci.math understand my simple point?
Sylvia Else
6/27/10
Read Re: Why can no one in sci.math understand my simple point?
Frederick Williams

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