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Topic: § 488 Who said this?
Replies: 187   Last Post: May 7, 2014 10:06 AM

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mueckenh@rz.fh-augsburg.de

Posts: 16,262
Registered: 1/29/05
Re: � 488 Who said this?
Posted: May 5, 2014 6:07 AM
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On Sunday, 4 May 2014 20:53:17 UTC+2, Zeit Geist wrote:


> > I use the well-established theorem of ZF that every infinite subset of a countable set is countable.
>

> But ignore the Theorem that Not All Subsets of a Definable Countable Set are Definable!

No I show a contradiction in set theory.
>
> You might Not be able to, and in fact CAN'T Define that Bijection needed to show the Set is Countable.


But I can prove countability of that set since every definition is a finite expression.
>
>
>
> There is NO Formula that Defines ALL the Reals that are Definable by a Formula!


Of course. There are not *all* reals. But if someone accepts finished infinity, then all finite expressions exist, are countable, and contain as a subset all finite definitions.
>

> However, then we can Prove that there Exists an Undefinable Real Number.

No, you cannot, and nobody has ever done it. Everything you "can prove" is defined at least by the space-time coordinates of you when doing this "proof".

You can never escape off this trap.

Regards, WM


Date Subject Author
4/29/14
Read § 488 Who said this?
mueckenh@rz.fh-augsburg.de
4/29/14
Read Re: � 488 Who said this?
Virgil
4/29/14
Read Re: § 488 Who said this?
mueckenh@rz.fh-augsburg.de
4/29/14
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Virgil
4/29/14
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mueckenh@rz.fh-augsburg.de
4/29/14
Read Re: � 488 Who said this?
Virgil
4/29/14
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FredJeffries@gmail.com
4/29/14
Read wTf
Brian Q. Hutchings
4/29/14
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Virgil
4/29/14
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Brian Q. Hutchings
4/30/14
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mueckenh@rz.fh-augsburg.de
4/30/14
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Virgil
4/30/14
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thenewcalculus@gmail.com
4/30/14
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FredJeffries@gmail.com
4/30/14
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mueckenh@rz.fh-augsburg.de
4/30/14
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FredJeffries@gmail.com
4/30/14
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Virgil
4/30/14
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mueckenh@rz.fh-augsburg.de
4/30/14
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FredJeffries@gmail.com
5/1/14
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mueckenh@rz.fh-augsburg.de
5/1/14
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FredJeffries@gmail.com
5/1/14
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FredJeffries@gmail.com
5/1/14
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Virgil
4/30/14
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Virgil
4/30/14
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Ralf Bader
4/30/14
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mueckenh@rz.fh-augsburg.de
4/30/14
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Virgil
4/30/14
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Ralf Bader
5/1/14
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mueckenh@rz.fh-augsburg.de
5/1/14
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Virgil
4/30/14
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mueckenh@rz.fh-augsburg.de
4/30/14
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Virgil
5/1/14
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mueckenh@rz.fh-augsburg.de
5/1/14
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Virgil
5/1/14
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mueckenh@rz.fh-augsburg.de
5/1/14
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Virgil
5/2/14
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mueckenh@rz.fh-augsburg.de
5/2/14
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5/2/14
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mueckenh@rz.fh-augsburg.de
5/2/14
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Virgil
5/2/14
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mueckenh@rz.fh-augsburg.de
5/2/14
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Virgil
4/30/14
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Virgil
5/1/14
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Dan Christensen
5/1/14
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Virgil
5/2/14
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mueckenh@rz.fh-augsburg.de
5/2/14
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Dan Christensen
5/2/14
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Peter Percival
5/2/14
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Dan Christensen
5/2/14
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Virgil
5/2/14
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Dan Christensen
5/2/14
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Dan Christensen
5/2/14
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Peter Percival
5/2/14
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Roland Franzius
5/2/14
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Dan Christensen
5/2/14
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Peter Percival
5/2/14
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Dan Christensen
5/2/14
Read OT: Lord Longford (was Re: § 488 Who
said this?)
Robin Chapman
5/2/14
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mueckenh@rz.fh-augsburg.de
5/2/14
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Dan Christensen
5/2/14
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mueckenh@rz.fh-augsburg.de
5/2/14
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Dan Christensen
5/2/14
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Virgil
5/2/14
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Dan Christensen
5/2/14
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Virgil
5/2/14
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Dan Christensen
5/2/14
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Virgil
5/2/14
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Dan Christensen
5/3/14
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mueckenh@rz.fh-augsburg.de
5/3/14
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Dan Christensen
5/3/14
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Dan Christensen
5/3/14
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mueckenh@rz.fh-augsburg.de
5/3/14
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Dan Christensen
5/3/14
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Virgil
5/3/14
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mueckenh@rz.fh-augsburg.de
5/3/14
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Dan Christensen
5/3/14
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Virgil
5/4/14
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mueckenh@rz.fh-augsburg.de
5/4/14
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Virgil
5/6/14
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ross.finlayson@gmail.com
5/4/14
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mueckenh@rz.fh-augsburg.de
5/4/14
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Dan Christensen
5/4/14
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Virgil
5/3/14
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Virgil
5/4/14
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mueckenh@rz.fh-augsburg.de
5/4/14
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Dan Christensen
5/4/14
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Virgil
5/4/14
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Virgil
5/4/14
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Virgil
5/3/14
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Virgil
5/3/14
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Brian Q. Hutchings
5/3/14
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Brian Q. Hutchings
5/3/14
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Virgil
5/2/14
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mueckenh@rz.fh-augsburg.de
5/2/14
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Dan Christensen
5/2/14
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Virgil
5/3/14
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mueckenh@rz.fh-augsburg.de
5/3/14
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Virgil
5/2/14
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Tucsondrew@me.com
5/2/14
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Virgil
5/3/14
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mueckenh@rz.fh-augsburg.de
5/3/14
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Tucsondrew@me.com
5/3/14
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mueckenh@rz.fh-augsburg.de
5/3/14
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Tucsondrew@me.com
5/3/14
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Virgil
5/3/14
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mueckenh@rz.fh-augsburg.de
5/3/14
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Tucsondrew@me.com
5/4/14
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mueckenh@rz.fh-augsburg.de
5/4/14
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Tucsondrew@me.com
5/4/14
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Virgil
5/4/14
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Virgil
5/4/14
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Virgil
5/4/14
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mueckenh@rz.fh-augsburg.de
5/4/14
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Virgil
5/4/14
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Tucsondrew@me.com
5/4/14
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Virgil
5/4/14
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mueckenh@rz.fh-augsburg.de
5/4/14
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Virgil
5/4/14
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Tucsondrew@me.com
5/4/14
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Virgil
5/5/14
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Virgil
5/3/14
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Virgil
5/3/14
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5/3/14
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5/2/14
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Virgil
5/2/14
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Virgil
5/2/14
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Virgil
5/2/14
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mueckenh@rz.fh-augsburg.de
5/2/14
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Virgil
5/2/14
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Virgil
5/2/14
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mueckenh@rz.fh-augsburg.de
5/2/14
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Virgil
5/2/14
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mueckenh@rz.fh-augsburg.de
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Virgil
5/3/14
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mueckenh@rz.fh-augsburg.de
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Virgil
5/3/14
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mueckenh@rz.fh-augsburg.de
5/3/14
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Tucsondrew@me.com
5/4/14
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mueckenh@rz.fh-augsburg.de
5/4/14
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Tucsondrew@me.com
5/4/14
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mueckenh@rz.fh-augsburg.de
5/4/14
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Tucsondrew@me.com
5/5/14
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mueckenh@rz.fh-augsburg.de
5/5/14
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Virgil
5/5/14
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Tucsondrew@me.com
5/5/14
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Virgil
5/4/14
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Virgil
5/4/14
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Virgil
5/3/14
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Virgil
5/4/14
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mueckenh@rz.fh-augsburg.de
5/4/14
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Tucsondrew@me.com
5/4/14
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mueckenh@rz.fh-augsburg.de
5/4/14
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Dan Christensen
5/4/14
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Virgil
5/4/14
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Tucsondrew@me.com
5/5/14
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mueckenh@rz.fh-augsburg.de
5/5/14
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Tucsondrew@me.com
5/5/14
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mueckenh@rz.fh-augsburg.de
5/5/14
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Virgil
5/5/14
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Virgil
5/4/14
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Virgil
5/4/14
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Brian Q. Hutchings
5/3/14
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mueckenh@rz.fh-augsburg.de
5/3/14
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Tucsondrew@me.com
5/4/14
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mueckenh@rz.fh-augsburg.de
5/4/14
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Tucsondrew@me.com
5/4/14
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mueckenh@rz.fh-augsburg.de
5/4/14
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Tucsondrew@me.com
5/4/14
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mueckenh@rz.fh-augsburg.de
5/4/14
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Virgil
5/4/14
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Tucsondrew@me.com
5/5/14
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Virgil
5/4/14
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Virgil
5/4/14
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Virgil
5/3/14
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Virgil
5/4/14
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mueckenh@rz.fh-augsburg.de
5/4/14
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Dan Christensen
5/4/14
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Virgil
5/7/14
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thenewcalculus@gmail.com

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