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Topic: Matheology § 288
Replies: 160   Last Post: Jun 21, 2013 8:42 AM

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mueckenh@rz.fh-augsburg.de

Posts: 16,196
Registered: 1/29/05
Re: Matheology § 288
Posted: Jun 19, 2013 2:38 PM
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On 19 Jun., 19:04, Zeit Geist <tucsond...@me.com> wrote:

>
> Anyway, what Cantor wrote is NOT the theory of ZFC.


In modern ZFC omega is used as ordinal and as cardinal simultaneously.

>
> And regardless of what anyone wrote, an infinite ordinal
> or cardinal need not be a "digit numeral" as you wrote.


The numbers of digits of pi is aleph_0 = omega.
But that is impossible if aleph_0 = omega is greater than every
natural number.

And here for your pleasure a reent text of mine for my students and
other interested persons:


Betrachten wir als einfaches Beispiel die streng monoton steigenden
Folge der Anfangsabschnitte {1}, {1, 2}, {1, 2, 3}, ... Der n-te
Abschnitt ist die Vereinigung aller seiner Vorgänger mit {n}. Die
Folge enthält demnach unendlich viele Vereinigungen aber nicht |N;
vielmehr fehlen in jedem Anfangsabschnitt unendlich viele natürlichen
Zahlen. (Zwar können wir für jede benennbare natürliche Zahl
feststellen, in welchem Anfangsabschnitt sie erstmals vorkommt, doch
können wir nur solche natürlichen Zahlen benennen, auf die noch
unendlich viele weiter folgen.) Wenn aber schließlich all diese
unendlich vielen unendlich defizitären Anfangsabschnitte vereinigt
werden, so resultiert laut Mengenlehre die vollständige Menge |N. Es
wird also angenommen, dass unendlich viele Vereinigungen, bei denen
jeweils etwas hinzukommt, nicht zu |N führen, eine weitere
Vereinigung, bei der nichts mehr hinzukommt, die Menge |N aber ergibt.
*Ein unsinniges Resultat!* Denn, wie schon Ludwig Wittgenstein
feststellte: It isn't just impossible "for us men" to run through the
natural numbers one by one; it's impossible, it means nothing. ...
There's no such thing as "all numbers" simply because there are
infinitely many.


Regards, WM


Date Subject Author
6/14/13
Read Matheology § 288
mueckenh@rz.fh-augsburg.de
6/14/13
Read Re: Matheology § 288
LudovicoVan
6/14/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/14/13
Read Re: Matheology § 288
LudovicoVan
6/14/13
Read Re: Matheology § 288
Tucsondrew@me.com
6/14/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/14/13
Read Re: Matheology § 288
Tucsondrew@me.com
6/14/13
Read Re: Matheology � 288
Virgil
6/14/13
Read Re: Matheology § 288
Tucsondrew@me.com
6/15/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/15/13
Read Re: Matheology § 288
Tucsondrew@me.com
6/15/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/15/13
Read Re: Matheology � 288
Virgil
6/15/13
Read Re: Matheology � 288
Virgil
6/16/13
Read Re: Matheology § 288
apoorv
6/16/13
Read Re: Matheology � 288
Virgil
6/16/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/16/13
Read Re: Matheology � 288
Virgil
6/16/13
Read Re: Matheology § 288
apoorv
6/16/13
Read Re: Matheology � 288
Virgil
6/16/13
Read Re: Matheology § 288
apoorv
6/17/13
Read Re: Matheology � 288
Virgil
6/17/13
Read Re: Matheology § 288
apoorv
6/17/13
Read Re: Matheology � 288
Virgil
6/17/13
Read Re: Matheology � 288
Tanu R.
6/17/13
Read Re: Matheology � 288
Virgil
6/17/13
Read Re: Matheology § 288
fom
6/16/13
Read Re: Matheology § 288
FredJeffries@gmail.com
6/16/13
Read Re: Matheology § 288
apoorv
6/16/13
Read Re: Matheology § 288
apoorv
6/17/13
Read Re: Matheology § 288
FredJeffries@gmail.com
6/17/13
Read Re: Matheology � 288
Virgil
6/17/13
Read Re: Matheology § 288
FredJeffries@gmail.com
6/18/13
Read Re: Matheology § 288
LudovicoVan
6/18/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/18/13
Read Re: WMytheology � 288
Virgil
6/18/13
Read Re: Matheology § 288
LudovicoVan
6/18/13
Read Re: Matheology § 288
Tucsondrew@me.com
6/18/13
Read Re: Matheology § 288
LudovicoVan
6/18/13
Read Re: Matheology § 288
Tucsondrew@me.com
6/18/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/18/13
Read Re: Matheology § 288
Tucsondrew@me.com
6/19/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/19/13
Read Re: Matheology § 288
Tucsondrew@me.com
6/19/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/19/13
Read Re: Matheology § 288
Tucsondrew@me.com
6/20/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/20/13
Read Re: Matheology § 288
LudovicoVan
6/20/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/20/13
Read Re: Matheology § 288
LudovicoVan
6/20/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/20/13
Read Re: Matheology § 288
LudovicoVan
6/20/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/20/13
Read Re: Matheology § 288
LudovicoVan
6/20/13
Read Re: WMytheology � 288
Virgil
6/20/13
Read Re: Matheology � 288
Virgil
6/20/13
Read Re: Matheology � 288
Virgil
6/20/13
Read Re: Matheology � 288
Virgil
6/20/13
Read Re: Matheology � 288
Virgil
6/19/13
Read Re: Matheology � 288
Virgil
6/19/13
Read Re: WMytheology � 288
Virgil
6/18/13
Read Re: Matheology � 288
Virgil
6/18/13
Read Re: Matheology § 288
fom
6/18/13
Read Re: Matheology § 288
fom
6/18/13
Read Re: Matheology § 288
LudovicoVan
6/18/13
Read Re: Matheology § 288
fom
6/19/13
Read Re: Matheology § 288
LudovicoVan
6/19/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/19/13
Read Re: WMytheology � 288
Virgil
6/19/13
Read Re: Matheology § 288
LudovicoVan
6/19/13
Read Re: Matheology § 288
fom
6/20/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/20/13
Read Re: Matheology § 288
LudovicoVan
6/20/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/20/13
Read Re: Matheology § 288
LudovicoVan
6/20/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/20/13
Read Re: Matheology § 288
LudovicoVan
6/20/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/20/13
Read Re: Matheology § 288
LudovicoVan
6/20/13
Read Re: Matheology � 288
Virgil
6/20/13
Read Re: Matheology � 288
Virgil
6/20/13
Read Re: Matheology § 288
FredJeffries@gmail.com
6/20/13
Read Re: Matheology § 288
LudovicoVan
6/20/13
Read Re: Matheology § 288
Ralf Bader
6/21/13
Read Re: Matheology § 288
LudovicoVan
6/21/13
Read Re: Matheology § 288
LudovicoVan
6/20/13
Read Re: Matheology § 288
FredJeffries@gmail.com
6/20/13
Read Re: Matheology � 288
Virgil
6/20/13
Read Re: Matheology � 288
Virgil
6/15/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/15/13
Read Re: Matheology � 288
Virgil
6/14/13
Read Re: Matheology � 288
Virgil
6/14/13
Read Re: Matheology � 288
Virgil
6/14/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/14/13
Read Re: Matheology � 288
Virgil
6/14/13
Read Re: Matheology § 288
Tucsondrew@me.com
6/14/13
Read Re: Matheology � 288
Virgil
6/14/13
Read Re: Matheology § 288
Tucsondrew@me.com
6/14/13
Read Re: Matheology � 288
Virgil
6/14/13
Read Re: Matheology § 288
Tucsondrew@me.com
6/15/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/15/13
Read Re: Matheology § 288
Tucsondrew@me.com
6/15/13
Read Re: Matheology � 288
Virgil
6/15/13
Read Re: Matheology � 288
Tanu R.
6/14/13
Read Re: Matheology § 288
Tucsondrew@me.com
6/14/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/14/13
Read Re: Matheology § 288
LudovicoVan
6/14/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/14/13
Read Re: Matheology § 288
LudovicoVan
6/14/13
Read Re: Matheology § 288
Tucsondrew@me.com
6/14/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/14/13
Read Re: Matheology � 288
Virgil
6/14/13
Read Re: Matheology § 288
Tucsondrew@me.com
6/14/13
Read Re: Matheology � 288
Virgil
6/15/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/15/13
Read Re: Matheology � 288
Virgil
6/15/13
Read Re: Matheology � 288
Tanu R.
6/14/13
Read Re: Matheology � 288
Virgil
6/14/13
Read Re: Matheology � 288
Virgil
6/14/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/14/13
Read Re: Matheology � 288
Bergholt Stuttley Johnson
6/14/13
Read Re: Matheology � 288
Virgil
6/14/13
Read Re: Matheology § 288
Tucsondrew@me.com
6/14/13
Read Re: Matheology � 288
Virgil
6/15/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/15/13
Read Re: Matheology � 288
Virgil
6/15/13
Read Re: Matheology � 288
Tanu R.
6/15/13
Read Re: Matheology � 288
Bergholt Stuttley Johnson
6/14/13
Read Re: Matheology � 288
Virgil
6/14/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/14/13
Read Re: Matheology � 288
Virgil
6/15/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/15/13
Read Re: Matheology � 288
Virgil
6/15/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/15/13
Read Re: Matheology � 288
Virgil
6/16/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/16/13
Read Re: Matheology � 288
Virgil
6/16/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/16/13
Read Re: Matheology § 288
fom
6/16/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/16/13
Read Re: Matheology § 288
fom
6/16/13
Read Re: Matheology � 288
Virgil
6/17/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/17/13
Read Re: Matheology � 288
Virgil
6/17/13
Read Re: Matheology § 288
fom
6/16/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/16/13
Read Re: Matheology § 288
fom
6/16/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/16/13
Read Re: Matheology � 288
Virgil
6/16/13
Read Re: Matheology § 288
fom
6/16/13
Read Re: Matheology � 288
Virgil
6/16/13
Read Re: Matheology § 288
fom
6/16/13
Read Re: Matheology � 288
Virgil
6/16/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/16/13
Read Re: Matheology � 288
Virgil
6/17/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/17/13
Read Re: Matheology � 288
Virgil
6/16/13
Read Re: Matheology � 288
Virgil
6/16/13
Read Re: Matheology § 288
mueckenh@rz.fh-augsburg.de
6/16/13
Read Re: Matheology � 288
Virgil
6/15/13
Read Re: Matheology � 288
Tanu R.

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