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Topic: Another AC anomaly?
Replies: 280   Last Post: Dec 27, 2009 3:53 PM

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mueckenh@rz.fh-augsburg.de

Posts: 18,076
Registered: 1/29/05
Re: Another AC anomaly?
Posted: Dec 11, 2009 2:33 PM
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On 11 Dez., 19:53, Marshall <marshall.spi...@gmail.com> wrote:
> On Dec 11, 9:13 am, WM <mueck...@rz.fh-augsburg.de> wrote:
>
>
>
>
>

> > On 11 Dez., 03:50, "Dik T. Winter" <Dik.Win...@cwi.nl> wrote:
> > >  > >
> > >  > > If there are no infinite paths in that tree, 1/3 is not in that tree.
> > >  >
> > >  > 1/3 does not exist as a path. But everything you can ask for will be
> > >  > found in the tree.
> > >  > Everything of that kind is in the tree.

>
> > > This makes no sense.  Every path in the tree (if all paths are finite) is
> > > a rational with a power of 2 as the denominator.  So 1/3 does not exist
> > > as a path.  In what way does it exist in the tree?

>
> > It exists in that fundamentally arithmetical way: You can find every
> > bit of it in my binary tree constructed from finite paths only. You
> > will fail to point to a digit of 1/3 that is missing in my tree.
> > Therefore I claim that every number that exists is in the tree.

>
> This argument can be inverted to "prove" the existence of
> a natural number whose decimal expansion is an infinite
> string of 3s.


No. Why should it? Of course the magnitude of natural numbers is not
limited. For every number with n digits 333...333 there is another
number with n^n digits. Nevertheless each one is finite.

> The infinite-3 number exists in a fundamentally
> arithmetical way: you can find every digit of it in a preceding
> natural number constructed from finite string of 3s only.
> You will fail to point to a digit of ...333 that is missing in
> the natural numbers.


Of course. That is because there is no digit missing in the natural
numbers.

> Therefore you claim the naturals and
> the reals are just the same, but in the reverse direction,
> just as AP says they are.


They *are* just the same, because your argument that above procedure
would prove an infinite string of 3's is wrong. There is neither a
natural nor a rational with an infinite string of digits. To be able
to determine every digit of a number you like does not imply that
there is a number with a never ending sequence of digits.

Why should it??? Because Cantor believed that God knows infinite
strings? (He read it in civitate dei of St. Augustinus.)

Or because Zermelo misunderstood Bolzana-Dedekind's definition of
infinity? Are you really thinking that infinity comes into being
because a Dr. Zermelo of Germany said so?

Regards, WM


Date Subject Author
11/23/09
Read Re: Another AC anomaly?
Jesse F. Hughes
11/23/09
Read Re: Another AC anomaly?
Herman Jurjus
11/23/09
Read Re: Another AC anomaly?
master1729
11/25/09
Read Re: Another AC anomaly?
T.H. Ray
11/24/09
Read Re: Another AC anomaly?
george
12/1/09
Read Re: Another AC anomaly?
george
11/25/09
Read Re: Another AC anomaly?
Bill Taylor
11/26/09
Read Re: Another AC anomaly?
Daryl McCullough
11/30/09
Read What's wrong with supertasks? (was Re: Another AC anomaly?)
Herman Jurjus
12/1/09
Read Jesse Hughes of Bentley College uses signature block to defame
others; Ann Reeves Re: What's wrong with supertasks?
plutonium.archimedes@gmail.com
12/1/09
Read Re: Jesse Hughes of Bentley College uses signature block to defame
others; Ann Reeves Re: What's wrong with supertasks?
Marshall
12/1/09
Read using signature-blocks to defame innocent people Re: Jesse Hughes of
Bentley College
plutonium.archimedes@gmail.com
12/1/09
Read Re: Jesse Hughes of Bentley College uses signature block to defame
others; Ann Reeves Re: What's wrong with supertasks?
Seth Breidbart
12/1/09
Read Re: using signature-blocks to defame innocent people Re: Jesse Hughes
of Bentley College
Marshall
12/2/09
Read Re: using signature-blocks to defame innocent people Re: Jesse Hughes
of Bentley College
Marshall
11/27/09
Read Re: Another AC anomaly?
William Hughes
11/27/09
Read Re: Another AC anomaly?
William Hughes
11/26/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
11/28/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
11/28/09
Read Re: Another AC anomaly?
Virgil
11/26/09
Read Re: Another AC anomaly?
William Hughes
11/28/09
Read Re: Another AC anomaly?
William Hughes
11/26/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
11/28/09
Read Re: Another AC anomaly?
ross.finlayson@gmail.com
11/28/09
Read Re: Another AC anomaly?
Virgil
11/29/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
11/29/09
Read Re: Another AC anomaly?
Virgil
11/29/09
Read Re: Another AC anomaly?
ross.finlayson@gmail.com
11/29/09
Read Re: Another AC anomaly?
Marshall
11/30/09
Read Re: Another AC anomaly?
Virgil
11/30/09
Read Re: Another AC anomaly?
ross.finlayson@gmail.com
11/30/09
Read Re: Another AC anomaly?
ross.finlayson@gmail.com
11/30/09
Read Re: Another AC anomaly?
Virgil
11/30/09
Read Re: Another AC anomaly?
ross.finlayson@gmail.com
11/30/09
Read Re: Another AC anomaly?
Virgil
11/30/09
Read Re: Another AC anomaly?
ross.finlayson@gmail.com
11/30/09
Read Re: Another AC anomaly?
Virgil
11/29/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
11/26/09
Read Re: Another AC anomaly?
LauLuna
11/26/09
Read Re: Another AC anomaly?
William Hughes
11/26/09
Read Re: Another AC anomaly?
anonymous.rubbertube@yahoo.com
11/29/09
Read Re: Another AC anomaly?
William Hughes
11/27/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
11/27/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
11/27/09
Read Re: Another AC anomaly?
Virgil
11/27/09
Read Re: Another AC anomaly?
Alan Smaill
11/29/09
Read Re: Another AC anomaly?
William Hughes
11/30/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
11/30/09
Read Re: Another AC anomaly?
Virgil
11/27/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
11/27/09
Read Re: Another AC anomaly?
Virgil
11/27/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
11/27/09
Read Re: Another AC anomaly?
Virgil
11/27/09
Read Re: Another AC anomaly?
William Hughes
11/27/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
11/27/09
Read Re: Another AC anomaly?
Alan Smaill
11/27/09
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Virgil
11/27/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
11/27/09
Read Re: Another AC anomaly?
Dik T. Winter
11/27/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
11/30/09
Read Re: Another AC anomaly?
Dik T. Winter
11/30/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
11/30/09
Read Re: Another AC anomaly?
Virgil
12/1/09
Read Re: Another AC anomaly?
Dik T. Winter
12/1/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
12/1/09
Read Re: Another AC anomaly?
Dik T. Winter
12/1/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
12/1/09
Read Re: Another AC anomaly?
William Hughes
12/1/09
Read Re: Another AC anomaly?
Virgil
12/1/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
12/1/09
Read Re: Another AC anomaly?
Virgil
12/1/09
Read Re: Another AC anomaly?
ross.finlayson@gmail.com
12/1/09
Read Re: Another AC anomaly?
Virgil
12/1/09
Read Re: Another AC anomaly?
ross.finlayson@gmail.com
12/1/09
Read Re: Another AC anomaly?
Virgil
12/2/09
Read Re: Another AC anomaly?
Dik T. Winter
12/2/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
12/2/09
Read Re: Another AC anomaly?
Dik T. Winter
12/2/09
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mueckenh@rz.fh-augsburg.de
12/2/09
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12/3/09
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12/3/09
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mueckenh@rz.fh-augsburg.de
12/3/09
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12/3/09
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12/7/09
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12/7/09
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12/8/09
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12/8/09
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12/9/09
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12/9/09
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12/9/09
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mueckenh@rz.fh-augsburg.de
12/9/09
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12/9/09
Read Re: Another AC anomaly?
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12/10/09
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12/9/09
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12/10/09
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12/10/09
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12/10/09
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12/10/09
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12/11/09
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12/11/09
Read Re: Another AC anomaly?
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12/15/09
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12/15/09
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12/15/09
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12/16/09
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12/16/09
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12/17/09
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12/17/09
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12/17/09
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12/17/09
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12/18/09
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12/18/09
Read Re: Another AC anomaly?
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12/18/09
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12/19/09
Read Re: Another AC anomaly?
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12/19/09
Read Re: Another AC anomaly?
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12/22/09
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12/22/09
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12/18/09
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12/19/09
Read Re: Another AC anomaly?
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12/19/09
Read Re: Another AC anomaly?
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12/21/09
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12/21/09
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12/21/09
Read Re: Another AC anomaly?
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12/21/09
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12/22/09
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12/27/09
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mueckenh@rz.fh-augsburg.de
12/27/09
Read Re: Another AC anomaly?
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12/16/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
12/16/09
Read Re: Another AC anomaly?
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12/11/09
Read Re: Another AC anomaly?
K_h
12/11/09
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Dik T. Winter
12/11/09
Read Re: Another AC anomaly?
K_h
12/11/09
Read Re: Another AC anomaly?
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12/12/09
Read Re: Another AC anomaly?
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12/12/09
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12/12/09
Read Re: Another AC anomaly?
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12/11/09
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mueckenh@rz.fh-augsburg.de
12/11/09
Read Re: Another AC anomaly?
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12/10/09
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mueckenh@rz.fh-augsburg.de
12/10/09
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12/10/09
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mueckenh@rz.fh-augsburg.de
12/10/09
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12/10/09
Read Re: Another AC anomaly?
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12/10/09
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12/11/09
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12/7/09
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12/8/09
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12/8/09
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12/8/09
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12/8/09
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12/8/09
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12/8/09
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12/10/09
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12/3/09
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12/3/09
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12/3/09
Read Re: Another AC anomaly?
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12/7/09
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12/7/09
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12/7/09
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mueckenh@rz.fh-augsburg.de
12/7/09
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12/8/09
Read Re: Another AC anomaly?
Dik T. Winter
12/8/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
12/8/09
Read Re: Another AC anomaly?
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12/10/09
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12/10/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
12/10/09
Read Re: Another AC anomaly?
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12/10/09
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12/11/09
Read Re: Another AC anomaly?
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12/11/09
Read Re: Another AC anomaly?
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12/11/09
Read Re: Another AC anomaly?
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12/15/09
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12/16/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
12/16/09
Read Re: Another AC anomaly?
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12/16/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
12/17/09
Read Re: Another AC anomaly?
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12/17/09
Read Re: Another AC anomaly?
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12/4/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
12/4/09
Read Re: Another AC anomaly?
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12/4/09
Read Re: Another AC anomaly?
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12/7/09
Read Re: Another AC anomaly?
Dik T. Winter
12/7/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
12/7/09
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12/8/09
Read Re: Another AC anomaly?
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12/8/09
Read Re: Another AC anomaly?
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12/8/09
Read Re: Another AC anomaly?
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12/10/09
Read Re: Another AC anomaly?
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12/10/09
Read Re: Another AC anomaly?
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12/10/09
Read Re: Another AC anomaly?
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12/10/09
Read Re: Another AC anomaly?
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12/11/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
12/11/09
Read Re: Another AC anomaly?
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12/11/09
Read Re: Another AC anomaly?
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12/11/09
Read Re: Another AC anomaly?
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12/11/09
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12/11/09
Read Re: Another AC anomaly?
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12/12/09
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mueckenh@rz.fh-augsburg.de
12/12/09
Read Re: Another AC anomaly?
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12/12/09
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12/12/09
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Read Re: Another AC anomaly?
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12/12/09
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12/12/09
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12/13/09
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12/16/09
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12/17/09
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12/19/09
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12/19/09
Read Re: Another AC anomaly?
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12/19/09
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mueckenh@rz.fh-augsburg.de
12/19/09
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12/19/09
Read Re: Another AC anomaly?
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12/19/09
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12/19/09
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12/19/09
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12/22/09
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12/27/09
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12/21/09
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12/21/09
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12/22/09
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12/27/09
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12/27/09
Read Re: Another AC anomaly?
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12/27/09
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12/27/09
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12/27/09
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12/27/09
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12/13/09
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12/4/09
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12/4/09
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mueckenh@rz.fh-augsburg.de
12/4/09
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12/4/09
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mueckenh@rz.fh-augsburg.de
12/4/09
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12/5/09
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mueckenh@rz.fh-augsburg.de
12/5/09
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12/5/09
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12/6/09
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12/5/09
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12/2/09
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12/1/09
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12/1/09
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Virgil
11/27/09
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Virgil
11/27/09
Read Re: Another AC anomaly?
anonymous.rubbertube@yahoo.com
11/30/09
Read Re: Another AC anomaly?
William Hughes
11/27/09
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William Hughes
11/27/09
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mueckenh@rz.fh-augsburg.de
11/27/09
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mueckenh@rz.fh-augsburg.de
11/27/09
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William Hughes
11/27/09
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anonymous.rubbertube@yahoo.com
11/27/09
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mueckenh@rz.fh-augsburg.de
11/27/09
Read Re: Another AC anomaly?
Virgil
11/27/09
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mueckenh@rz.fh-augsburg.de
11/27/09
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Virgil
11/27/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
11/27/09
Read Re: Another AC anomaly?
William Hughes
11/27/09
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mueckenh@rz.fh-augsburg.de
11/27/09
Read Re: Another AC anomaly?
Virgil

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