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Topic: Matheology §252
Replies: 110   Last Post: Apr 24, 2013 5:58 PM

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mueckenh@rz.fh-augsburg.de

Posts: 14,636
Registered: 1/29/05
Matheology §252
Posted: Apr 17, 2013 8:18 AM
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Matheology §252

The table T

1
2, 1
3, 2, 1
...
n, ..., 3, 2, 1
...

is a sequence of finite initial segments (1, ..., n) of natural
numbers. It contains every natural number that can be somewhere. Every
number in the sequence T is in one line L_n and in all further lines
by construction of T (always the last line is added). Every number in
T is in the first column C (and in every other column too).

forall n : (1, ..., n) c C ==> (1, ..., n) e T
forall n : (1, ..., n) e T ==> (1, ..., n) c C

Therefore it is impossible that C contains more than T and more than
any line L_n of T. But we know that there is no line L_n with an
actually infite set |N of numbers (because T is a sequence of finite
lines L_n). Conclusion: An actually infinite set |N cannot be in the
first column either (and nowhere else).

Regards, WM



Date Subject Author
4/17/13
Read Matheology §252
mueckenh@rz.fh-augsburg.de
4/17/13
Read Re: Matheology §252
fom
4/17/13
Read Re: Matheology �252
Virgil
4/18/13
Read Re: Matheology §252
mueckenh@rz.fh-augsburg.de
4/18/13
Read Re: Matheology §252
fom
4/18/13
Read Re: Matheology §252
mueckenh@rz.fh-augsburg.de
4/18/13
Read Re: Matheology §252
fom
4/18/13
Read Re: Matheology §252
fom
4/18/13
Read Re: Matheology §252
fom
4/18/13
Read Re: Matheology §252
fom
4/18/13
Read Re: Matheology §252
mueckenh@rz.fh-augsburg.de
4/18/13
Read Re: Matheology §252
fom
4/18/13
Read Re: Matheology §252
mueckenh@rz.fh-augsburg.de
4/18/13
Read Re: Matheology §252
fom
4/18/13
Read Re: Matheology §252
mueckenh@rz.fh-augsburg.de
4/18/13
Read Re: Matheology §252
fom
4/18/13
Read Re: Matheology �252
Virgil
4/18/13
Read Re: Matheology �252
Virgil
4/19/13
Read Re: Matheology §252
mueckenh@rz.fh-augsburg.de
4/19/13
Read Re: Matheology §252
fom
4/19/13
Read Re: Matheology §252
fom
4/19/13
Read Re: Matheology §252
mueckenh@rz.fh-augsburg.de
4/19/13
Read Re: Matheology §252
fom
4/19/13
Read Re: Matheology §252
fom
4/19/13
Read Re: Matheology §252
fom
4/19/13
Read Re: Matheology �252
Virgil
4/20/13
Read Re: Matheology §252
mueckenh@rz.fh-augsburg.de
4/20/13
Read Re: Matheology §252
netzweltler
4/20/13
Read Re: Matheology §252
mueckenh@rz.fh-augsburg.de
4/20/13
Read Re: Matheology §252
netzweltler
4/20/13
Read Re: Matheology §252
mueckenh@rz.fh-augsburg.de
4/20/13
Read Re: Matheology §252
netzweltler
4/20/13
Read Re: Matheology §252
mueckenh@rz.fh-augsburg.de
4/20/13
Read Re: Matheology §252
fom
4/20/13
Read Re: Matheology �252
Virgil
4/20/13
Read Re: Matheology §252
fom
4/20/13
Read Re: Matheology �252
Virgil
4/21/13
Read Re: Matheology §252
mueckenh@rz.fh-augsburg.de
4/21/13
Read Re: Matheology §252
fom
4/21/13
Read Re: Matheology §252
Bergholt Stuttley Johnson
4/21/13
Read Re: Matheology §252
gus gassmann
4/21/13
Read Re: Matheology �252
Virgil
4/21/13
Read Re: Matheology §252
netzweltler
4/21/13
Read Re: Matheology §252
mueckenh@rz.fh-augsburg.de
4/21/13
Read Re: Matheology §252
netzweltler
4/21/13
Read Re: Matheology §252
mueckenh@rz.fh-augsburg.de
4/21/13
Read Re: Matheology §252
netzweltler
4/21/13
Read Re: Matheology §252
mueckenh@rz.fh-augsburg.de
4/21/13
Read Re: Matheology §252
fom
4/21/13
Read Re: Matheology §252
netzweltler
4/21/13
Read Re: Matheology §252
netzweltler
4/22/13
Read Re: Matheology §252
mueckenh@rz.fh-augsburg.de
4/22/13
Read Re: Matheology §252
netzweltler
4/22/13
Read Re: Matheology �252
Virgil
4/22/13
Read Re: Matheology §252
netzweltler
4/22/13
Read Re: Matheology �252
Virgil
4/23/13
Read Re: Matheology §252
mueckenh@rz.fh-augsburg.de
4/23/13
Read Re: Matheology �252
Virgil
4/23/13
Read Re: Matheology §252
netzweltler
4/24/13
Read Re: Matheology §252
mueckenh@rz.fh-augsburg.de
4/24/13
Read Re: Matheology �252
Virgil
4/24/13
Read Re: Matheology §252
netzweltler
4/24/13
Read Re: Matheology §252
mueckenh@rz.fh-augsburg.de
4/24/13
Read Re: Matheology �252
Virgil
4/24/13
Read Re: Matheology §252
netzweltler
4/24/13
Read Re: Matheology §252
mueckenh@rz.fh-augsburg.de
4/24/13
Read Re: WMytheology �252
Virgil
4/24/13
Read Re: Matheology §252
netzweltler
4/21/13
Read Re: Matheology §252
fom
4/21/13
Read Re: Matheology �252
Virgil
4/22/13
Read Re: Matheology §252
mueckenh@rz.fh-augsburg.de
4/22/13
Read Re: Matheology �252
Virgil
4/23/13
Read Re: Matheology §252
mueckenh@rz.fh-augsburg.de
4/23/13
Read Re: Matheology �252
Virgil
4/21/13
Read Re: Matheology §252
Bergholt Stuttley Johnson
4/21/13
Read Re: Matheology �252
Virgil
4/20/13
Read Re: Matheology §252
fom
4/20/13
Read Re: Matheology �252
Virgil
4/20/13
Read Re: Matheology §252
fom
4/20/13
Read Re: Matheology �252
Virgil
4/20/13
Read Re: Matheology §252
fom
4/20/13
Read Re: Matheology §252
mueckenh@rz.fh-augsburg.de
4/20/13
Read Re: Matheology §252
fom
4/20/13
Read Re: Matheology �252
Virgil
4/20/13
Read Re: Matheology �252
Virgil
4/19/13
Read Re: Matheology �252
Virgil
4/20/13
Read Re: Matheology §252
mueckenh@rz.fh-augsburg.de
4/20/13
Read Re: Matheology §252
fom
4/20/13
Read Re: Matheology §252
mueckenh@rz.fh-augsburg.de
4/20/13
Read Re: Matheology §252
fom
4/20/13
Read Re: Matheology §252
fom
4/20/13
Read Re: Matheology §252
fom
4/20/13
Read Re: Matheology �252
Virgil
4/20/13
Read Re: Matheology �252
Virgil
4/18/13
Read Re: Matheology §252
fom
4/18/13
Read Re: Matheology §252
fom
4/18/13
Read Re: Matheology �252
Virgil
4/18/13
Read Re: Matheology §252
mueckenh@rz.fh-augsburg.de
4/18/13
Read Re: Matheology �252
Virgil
4/18/13
Read Re: Matheology §252
Bergholt Stuttley Johnson
4/18/13
Read Re: Matheology §252
fom
4/18/13
Read Re: Matheology §252
fom
4/18/13
Read Re: Matheology �252
Virgil
4/18/13
Read Re: Matheology §252
mueckenh@rz.fh-augsburg.de
4/18/13
Read Re: Matheology §252
fom
4/18/13
Read Re: Matheology �252
Virgil
4/18/13
Read Re: Matheology �252
Virgil
4/18/13
Read Re: Matheology §252
mueckenh@rz.fh-augsburg.de
4/18/13
Read Re: Matheology §252
fom
4/18/13
Read Re: Matheology �252
Virgil
4/18/13
Read Re: Matheology �252
Virgil

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