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Topic: Matheology § 238
Replies: 210   Last Post: Apr 13, 2013 4:21 PM

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mueckenh@rz.fh-augsburg.de

Posts: 14,973
Registered: 1/29/05
Re: Matheology § 238
Posted: Apr 11, 2013 10:33 AM
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On 11 Apr., 13:52, fom <fomJ...@nyms.net> wrote:

> {{d_1, ..., d_n} | n in |n}
>
> {d_n | n in |n}
>
> They still look like different sets to me.
>

d_n are the elements of a sequence.
(d_1, ..., d_n) are the elements of a series, namely its partial sums.
They look different, but the latter include the former.

In a Cantor list the argument can be written:
For every n: (d_1, ..., d_n) differs from every entry (qk1, ..., qkn)
with k =< n, i.e., i.e., every entry of the first n lines. That is
exactly Cantor's argument, not more and not less.

In a list containing all rational numbers, the counter-argument can be
written:
For every n: (d_1, ..., d_n) does not differ from infinitely many
entries (qk1, ..., qkn) with k > n.

Why should the "for all n" only in one case be exhaustive?

Regards, WM


Date Subject Author
4/6/13
Read Matheology § 238
mueckenh@rz.fh-augsburg.de
4/6/13
Read Re: Matheology § 238
Bergholt Stuttley Johnson
4/6/13
Read Re: Matheology § 238
William Hughes
4/6/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/6/13
Read Re: Matheology § 238
Bergholt Stuttley Johnson
4/6/13
Read Re: Matheology § 238
William Hughes
4/6/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/6/13
Read Re: Matheology § 238
fom
4/6/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/6/13
Read Re: Matheology § 238
Bergholt Stuttley Johnson
4/6/13
Read Re: Matheology � 238
Virgil
4/6/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/6/13
Read Re: Matheology � 238
Virgil
4/6/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/6/13
Read Re: Matheology § 238
fom
4/6/13
Read Re: Matheology § 238
William Hughes
4/6/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/6/13
Read Re: Matheology § 238
William Hughes
4/6/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/6/13
Read Re: Matheology § 238
William Hughes
4/6/13
Read Re: Matheology � 238
Virgil
4/7/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/7/13
Read Re: Matheology § 238
William Hughes
4/7/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/7/13
Read Re: Matheology § 238
William Hughes
4/7/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/7/13
Read Re: Matheology § 238
William Hughes
4/7/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/7/13
Read Re: Matheology § 238
fom
4/7/13
Read Re: Matheology § 238
William Hughes
4/8/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/8/13
Read Re: Matheology § 238
William Hughes
4/8/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/8/13
Read Re: Matheology § 238
William Hughes
4/8/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/8/13
Read Re: Matheology § 238
William Hughes
4/8/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/8/13
Read Re: Matheology § 238
William Hughes
4/8/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/8/13
Read Re: Matheology § 238
William Hughes
4/8/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/8/13
Read Re: Matheology § 238
William Hughes
4/8/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/8/13
Read Re: Matheology § 238
William Hughes
4/8/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/8/13
Read Re: Matheology § 238
William Hughes
4/9/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/9/13
Read Re: Matheology � 238
Virgil
4/9/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/9/13
Read Re: Matheology � 238
Virgil
4/9/13
Read Re: Matheology § 238
William Hughes
4/9/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/9/13
Read Re: Matheology § 238
William Hughes
4/9/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/9/13
Read Re: Matheology § 238
William Hughes
4/9/13
Read Re: Matheology § 238
Tanu R.
4/9/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/9/13
Read Re: Matheology § 238
William Hughes
4/10/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/10/13
Read Re: Matheology � 238
Virgil
4/10/13
Read Re: Matheology § 238
William Hughes
4/10/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/10/13
Read Re: Matheology § 238
William Hughes
4/10/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/10/13
Read Re: Matheology § 238
William Hughes
4/10/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/10/13
Read Re: Matheology § 238
William Hughes
4/10/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/10/13
Read Re: Matheology § 238
William Hughes
4/10/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/10/13
Read Re: Matheology § 238
William Hughes
4/11/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/11/13
Read Re: Matheology � 238
Virgil
4/11/13
Read Re: Matheology § 238
William Hughes
4/11/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/11/13
Read Re: Matheology § 238
William Hughes
4/11/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/11/13
Read Re: Matheology § 238
William Hughes
4/11/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/11/13
Read Re: Matheology § 238
William Hughes
4/11/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/11/13
Read Re: Matheology § 238
William Hughes
4/11/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/11/13
Read Re: Matheology § 238
William Hughes
4/12/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/12/13
Read Re: Matheology § 238
William Hughes
4/12/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/12/13
Read Re: Matheology § 238
fom
4/12/13
Read Re: Matheology � 238
Virgil
4/12/13
Read Re: Matheology § 238
fom
4/12/13
Read Re: Matheology § 238
William Hughes
4/12/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/12/13
Read Re: Matheology § 238
William Hughes
4/12/13
Read Re: Matheology § 238
Tanu R.
4/13/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/13/13
Read Re: Matheology � 238
Virgil
4/12/13
Read Re: Matheology � 238
Virgil
4/13/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/13/13
Read Re: Matheology § 238
fom
4/13/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/13/13
Read Re: Matheology § 238
fom
4/13/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/13/13
Read Re: Matheology § 238
fom
4/13/13
Read Re: Matheology � 238
Virgil
4/13/13
Read Re: Matheology � 238
Virgil
4/13/13
Read Re: Matheology � 238
Virgil
4/12/13
Read Re: Matheology � 238
Virgil
4/12/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/12/13
Read Re: Matheology � 238
Virgil
4/12/13
Read Re: Matheology � 238
Virgil
4/11/13
Read Re: Matheology � 238
Virgil
4/11/13
Read Re: Matheology � 238
Virgil
4/11/13
Read Re: Matheology � 238
Virgil
4/11/13
Read Re: Matheology � 238
Virgil
4/11/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/11/13
Read Re: Matheology � 238
Virgil
4/12/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/12/13
Read Re: Matheology § 238
fom
4/12/13
Read Re: Matheology � 238
Virgil
4/11/13
Read Re: Matheology � 238
Virgil
4/10/13
Read Re: Matheology � 238
Virgil
4/10/13
Read Re: Matheology § 238
fom
4/10/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/10/13
Read Re: Matheology § 238
fom
4/10/13
Read Re: Matheology � 238
Virgil
4/10/13
Read Re: Matheology � 238
Virgil
4/10/13
Read Re: Matheology � 238
Virgil
4/11/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/11/13
Read Re: Matheology � 238
Virgil
4/11/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/11/13
Read Re: Matheology � 238
Virgil
4/10/13
Read Re: Matheology � 238
Virgil
4/10/13
Read Re: Matheology � 238
Virgil
4/11/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/11/13
Read Re: Matheology � 238
Virgil
4/11/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/11/13
Read Re: Matheology � 238
Virgil
4/10/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/10/13
Read Re: Matheology § 238
dan.ms.chaos@gmail.com
4/10/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/10/13
Read Re: Matheology § 238
dan.ms.chaos@gmail.com
4/10/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/10/13
Read Re: Matheology � 238
Virgil
4/11/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/11/13
Read Re: Matheology § 238
fom
4/11/13
Read Re: Matheology � 238
Virgil
4/11/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/11/13
Read Re: Matheology � 238
Virgil
4/10/13
Read Re: Matheology � 238
Virgil
4/11/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/11/13
Read Re: Matheology § 238
fom
4/11/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/11/13
Read Re: Matheology § 238
fom
4/11/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/11/13
Read Re: Matheology � 238
Virgil
4/11/13
Read Re: Matheology § 238
fom
4/11/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/11/13
Read Re: Matheology § 238
fom
4/11/13
Read Re: Matheology � 238
Virgil
4/11/13
Read Re: Matheology � 238
Virgil
4/11/13
Read Re: Matheology � 238
Virgil
4/10/13
Read Re: Matheology � 238
Virgil
4/11/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/11/13
Read Re: Matheology � 238
Virgil
4/11/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/11/13
Read Re: Matheology � 238
Virgil
4/11/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/11/13
Read Re: Matheology § 238
fom
4/11/13
Read Re: Matheology � 238
Virgil
4/11/13
Read Re: Matheology � 238
Virgil
4/9/13
Read Re: Matheology � 238
Virgil
4/9/13
Read Re: Matheology � 238
Virgil
4/9/13
Read Re: Matheology � 238
Virgil
4/9/13
Read Re: Matheology � 238
Virgil
4/9/13
Read Re: Matheology � 238
Virgil
4/10/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/10/13
Read Re: Matheology � 238
Virgil
4/8/13
Read Re: Matheology � 238
Virgil
4/8/13
Read Re: Matheology � 238
Virgil
4/9/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/9/13
Read Re: Matheology � 238
Virgil
4/8/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/8/13
Read Re: Matheology � 238
Virgil
4/8/13
Read Re: Matheology § 238
Tanu R.
4/8/13
Read Re: Matheology � 238
Virgil
4/8/13
Read Re: Matheology § 238
Tanu R.
4/8/13
Read Re: Matheology � 238
Virgil
4/8/13
Read Re: Matheology � 238
Virgil
4/8/13
Read Re: Matheology � 238
Virgil
4/8/13
Read Re: Matheology � 238
Virgil
4/7/13
Read Re: Matheology � 238
Virgil
4/7/13
Read Re: Matheology � 238
Virgil
4/7/13
Read Re: Matheology § 238
fom
4/7/13
Read Re: Matheology � 238
Virgil
4/7/13
Read Re: Matheology � 238
Virgil
4/6/13
Read Re: Matheology § 238
fom
4/6/13
Read Re: Matheology � 238
Virgil
4/6/13
Read Re: Matheology � 238
Virgil
4/6/13
Read Re: Matheology § 238
fom
4/6/13
Read Re: Matheology � 238
Virgil
4/6/13
Read Re: Matheology § 238
fom
4/6/13
Read Re: Matheology § 238
Bergholt Stuttley Johnson
4/6/13
Read Re: Matheology � 238
Virgil
4/6/13
Read Re: Matheology � 238
Virgil
4/6/13
Read Re: Matheology � 238
Virgil
4/6/13
Read Re: Matheology § 238
namducnguyen
4/6/13
Read Re: Matheology § 238
namducnguyen
4/6/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/6/13
Read Re: Matheology § 238
fom
4/6/13
Read Re: Matheology � 238
Virgil
4/6/13
Read Re: Matheology § 238
fom

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