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Topic: Matheology § 203
Replies: 202   Last Post: Feb 10, 2013 3:34 AM

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mueckenh@rz.fh-augsburg.de

Posts: 13,448
Registered: 1/29/05
Re: Matheology 203
Posted: Feb 6, 2013 6:40 AM
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On 6 Feb., 10:08, Virgil <vir...@ligriv.com> wrote:

> > Everything of 0.111... that can be defined by sequences of 1's, is in
> > the list. The finite definition "s" or "o.111..." is not in the list,
> > but finite definitions have nothing to do with Cantor's diagonal
> > proof.
> > Is that really exceeding the capacity of your brain?

>
> It certainly seems beyond the capacity of WM's.


With no doubt.
>
> 0.111... is a finite definition for Sum_(n in |N) 1/b^n,


which is another finite definition of 1/9 and notr available for
diagonalization.

Try to diagonalize:

1 divided by 9
1 divided by circumference of the unit circle
series of Gregory-Leibniz
basis of the logarithms
Euler's constant
andsoon

Nothing else is required by Cantor with the only exception, that for
every n the finite initial segment a_n1, ..., a_nn of entry number n
has to be expanded by digits. But as everybody knows, these finite
initial segments belong to a countable subset of the countable set of
rational numbers.

Regards, WM


Date Subject Author
1/29/13
Read Matheology § 203
mueckenh@rz.fh-augsburg.de
1/29/13
Read Re: Matheology § 203
William Hughes
1/29/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/29/13
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William Hughes
1/29/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/29/13
Read Re: Matheology § 203
William Hughes
1/29/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/29/13
Read Re: Matheology § 203
William Hughes
1/29/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/29/13
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William Hughes
1/29/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/29/13
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William Hughes
1/29/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/29/13
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William Hughes
1/29/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/29/13
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William Hughes
1/30/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/30/13
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William Hughes
1/30/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/30/13
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William Hughes
1/30/13
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mueckenh@rz.fh-augsburg.de
1/30/13
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William Hughes
1/30/13
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mueckenh@rz.fh-augsburg.de
1/30/13
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William Hughes
1/30/13
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mueckenh@rz.fh-augsburg.de
1/30/13
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William Hughes
1/30/13
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mueckenh@rz.fh-augsburg.de
1/30/13
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William Hughes
1/30/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/30/13
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William Hughes
1/30/13
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mueckenh@rz.fh-augsburg.de
1/30/13
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William Hughes
1/31/13
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mueckenh@rz.fh-augsburg.de
1/31/13
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William Hughes
1/31/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/31/13
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William Hughes
1/31/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/31/13
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William Hughes
1/31/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/31/13
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William Hughes
1/31/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/31/13
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William Hughes
2/1/13
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mueckenh@rz.fh-augsburg.de
2/1/13
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William Hughes
2/1/13
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mueckenh@rz.fh-augsburg.de
2/1/13
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William Hughes
2/1/13
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mueckenh@rz.fh-augsburg.de
2/1/13
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William Hughes
2/1/13
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mueckenh@rz.fh-augsburg.de
2/1/13
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William Hughes
2/1/13
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mueckenh@rz.fh-augsburg.de
2/1/13
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William Hughes
2/1/13
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mueckenh@rz.fh-augsburg.de
2/1/13
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William Hughes
2/1/13
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William Hughes
2/1/13
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Virgil
2/2/13
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mueckenh@rz.fh-augsburg.de
2/2/13
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William Hughes
2/2/13
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mueckenh@rz.fh-augsburg.de
2/2/13
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William Hughes
2/2/13
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Virgil
2/2/13
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fom
2/2/13
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mueckenh@rz.fh-augsburg.de
2/2/13
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William Hughes
2/2/13
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mueckenh@rz.fh-augsburg.de
2/2/13
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William Hughes
2/2/13
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William Hughes
2/3/13
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mueckenh@rz.fh-augsburg.de
2/3/13
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William Hughes
2/3/13
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mueckenh@rz.fh-augsburg.de
2/3/13
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Virgil
2/3/13
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William Hughes
2/3/13
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mueckenh@rz.fh-augsburg.de
2/3/13
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fom
2/4/13
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fom
2/5/13
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Virgil
2/5/13
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Virgil
2/4/13
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Virgil
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fom
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Virgil
2/5/13
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fom
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fom
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mueckenh@rz.fh-augsburg.de
2/10/13
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fom
2/3/13
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William Hughes
2/4/13
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mueckenh@rz.fh-augsburg.de
2/4/13
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William Hughes
2/4/13
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mueckenh@rz.fh-augsburg.de
2/4/13
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William Hughes
2/4/13
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mueckenh@rz.fh-augsburg.de
2/4/13
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William Hughes
2/4/13
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mueckenh@rz.fh-augsburg.de
2/4/13
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William Hughes
2/4/13
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mueckenh@rz.fh-augsburg.de
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William Hughes
2/5/13
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William Hughes
2/5/13
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Virgil
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gus gassmann
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William Hughes
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Virgil
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fom
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William Hughes
2/5/13
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Virgil
2/4/13
Read Re: WMytheology � 203
Virgil
2/4/13
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Virgil
2/4/13
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fom
2/4/13
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Virgil
2/4/13
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fom
2/5/13
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fom
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Virgil
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fom
2/4/13
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Virgil
2/4/13
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Virgil
2/4/13
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Virgil
2/5/13
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Virgil
2/3/13
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Virgil
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2/4/13
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2/3/13
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2/2/13
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2/1/13
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2/1/13
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1/31/13
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Virgil
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Virgil
1/31/13
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Virgil
1/31/13
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Virgil
1/31/13
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Virgil
1/30/13
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Virgil
1/30/13
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Virgil
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Virgil
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Virgil
1/30/13
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Virgil
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Virgil
1/30/13
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Virgil
1/30/13
Read Re: Matheology § 203
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1/30/13
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Virgil
1/30/13
Read Re: WMytheology � 203
Virgil
1/29/13
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Virgil
1/29/13
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Virgil
1/29/13
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Virgil
1/29/13
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Virgil
1/29/13
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Virgil
1/29/13
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Virgil
1/29/13
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Virgil
2/4/13
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1/29/13
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1/29/13
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1/29/13
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1/29/13
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1/29/13
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Virgil
1/30/13
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fom
1/30/13
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fom
1/30/13
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mueckenh@rz.fh-augsburg.de
1/30/13
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Virgil
1/31/13
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fom
1/30/13
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fom
1/30/13
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Virgil
1/31/13
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fom
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Virgil

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