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Topic: Cantor's absurdity, once again, why not?
Replies: 77   Last Post: Mar 19, 2013 11:02 PM

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mueckenh@rz.fh-augsburg.de

Posts: 13,472
Registered: 1/29/05
Re: Cantor's absurdity, once again, why not?
Posted: Mar 15, 2013 3:41 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

On 15 Mrz., 02:51, "Jesse F. Hughes" <je...@phiwumbda.org> wrote:

> I'll pass on discussing this with you.  I've had my fill of debating
> anything with you for a while.


Your decision. Quite understandable.

Nevertheless readers should know that the ZF-axiom of extensionality
requires a technique to identify (= distinguish from others) every
element of a set. For non-material elements this means labelling (by
names, words, definitions). Since it is impossible for all elements of
an uncountable set we have a contradiction.

In principle AC is quite right. Only its application to uncountable
sets is impossible. There it has the same logical status as the
following axioms:

1) There are numbers that cannot be identified.
2) There are values that have not values.
3) There is a set of n positive natural numbers with sum n^2/2 (AMS).
4) There are two prime triples.
5) There is a smallest positive real number (not identifyable, of
course). This can be extended to:
6) There is a permutation of all rational numbers such that they are
well-ordered by magnitude.
... and many, many more of this sort, all based upon the basic idea
that some numbers cannot be identified or that there is a finished
unfinished.

Regards, WM



Date Subject Author
3/14/13
Read Cantor's absurdity, once again, why not?
David Petry
3/14/13
Read Re: Cantor's absurdity, once again, why not?
fom
3/14/13
Read Re: Cantor's absurdity, once again, why not?
David Petry
3/14/13
Read Re: Cantor's absurdity, once again, why not?
fom
3/14/13
Read Re: Cantor's absurdity, once again, why not?
David Petry
3/14/13
Read Re: Cantor's absurdity, once again, why not?
fom
3/17/13
Read Re: Cantor's absurdity, once again, why not?
Shmuel (Seymour J.) Metz
3/17/13
Read Re: Cantor's absurdity, once again, why not?
ross.finlayson@gmail.com
3/18/13
Read Re: Cantor's absurdity, once again, why not?
fom
3/18/13
Read Re: Cantor's absurdity, once again, why not?
Shmuel (Seymour J.) Metz
3/19/13
Read Re: Cantor's absurdity, once again, why not?
fom
3/14/13
Read Re: Cantor's absurdity, once again, why not?
Virgil
3/14/13
Read Re: Cantor's absurdity, once again, why not?
mueckenh@rz.fh-augsburg.de
3/14/13
Read Re: Cantor's absurdity, once again, why not?
Virgil
3/14/13
Read Re: Cantor's absurdity, once again, why not?
mueckenh@rz.fh-augsburg.de
3/14/13
Read Re: Cantor's absurdity, once again, why not?
fom
3/14/13
Read Re: Cantor's absurdity, once again, why not?
mueckenh@rz.fh-augsburg.de
3/14/13
Read Re: Cantor's absurdity, once again, why not?
fom
3/14/13
Read Re: Cantor's absurdity, once again, why not?
Virgil
3/14/13
Read Re: Cantor's absurdity, once again, why not?
Virgil
3/14/13
Read Re: Cantor's absurdity, once again, why not?
Virgil
3/14/13
Read Re: Cantor's absurdity, once again, why not?
mueckenh@rz.fh-augsburg.de
3/14/13
Read Re: Cantor's absurdity, once again, why not?
harold james
3/14/13
Read Re: Cantor's absurdity, once again, why not?
Virgil
3/14/13
Read Re: Cantor's absurdity, once again, why not?
fom
3/14/13
Read Re: Cantor's absurdity, once again, why not?
mueckenh@rz.fh-augsburg.de
3/14/13
Read Re: Cantor's absurdity, once again, why not?
Virgil
3/14/13
Read Re: Cantor's absurdity, once again, why not?
fom
3/14/13
Read Re: Cantor's absurdity, once again, why not?
Jesse F. Hughes
3/14/13
Read Re: Cantor's absurdity, once again, why not?
fom
3/14/13
Read Re: Cantor's absurdity, once again, why not?
mueckenh@rz.fh-augsburg.de
3/14/13
Read Re: Cantor's absurdity, once again, why not?
fom
3/14/13
Read Re: Cantor's absurdity, once again, why not?
David Petry
3/15/13
Read Re: Cantor's absurdity, once again, why not?
mueckenh@rz.fh-augsburg.de
3/15/13
Read Re: Cantor's absurdity, once again, why not?
Virgil
3/15/13
Read Re: Cantor's absurdity, once again, why not?
mueckenh@rz.fh-augsburg.de
3/15/13
Read Re: Cantor's absurdity, once again, why not?
Virgil
3/15/13
Read Re: Cantor's absurdity, once again, why not?
fom
3/16/13
Read Re: Cantor's absurdity, once again, why not?
mueckenh@rz.fh-augsburg.de
3/16/13
Read Re: Cantor's absurdity, once again, why not?
FredJeffries@gmail.com
3/16/13
Read Re: Cantor's absurdity, once again, why not?
mueckenh@rz.fh-augsburg.de
3/16/13
Read Re: Cantor's absurdity, once again, why not?
Virgil
3/16/13
Read Re: Cantor's absurdity, once again, why not?
fom
3/16/13
Read Re: Cantor's absurdity, once again, why not?
mueckenh@rz.fh-augsburg.de
3/16/13
Read Re: Cantor's absurdity, once again, why not?
Virgil
3/16/13
Read Re: Cantor's absurdity, once again, why not?
mueckenh@rz.fh-augsburg.de
3/16/13
Read Re: Cantor's absurdity, once again, why not?
Virgil
3/17/13
Read Re: Cantor's absurdity, once again, why not?
fom
3/19/13
Read Re: Cantor's absurdity, once again, why not?
mueckenh@rz.fh-augsburg.de
3/19/13
Read Re: Cantor's absurdity, once again, why not?
fom
3/19/13
Read Re: Cantor's absurdity, once again, why not?
mueckenh@rz.fh-augsburg.de
3/19/13
Read Re: Cantor's absurdity, once again, why not?
Virgil
3/19/13
Read Re: Cantor's absurdity, once again, why not?
fom
3/19/13
Read Re: Cantor's absurdity, once again, why not?
fom
3/19/13
Read Re: Cantor's absurdity, once again, why not?
fom
3/19/13
Read Re: Cantor's absurdity, once again, why not?
fom
3/19/13
Read Re: Cantor's absurdity, once again, why not?
fom
3/19/13
Read Re: Cantor's absurdity, once again, why not?
fom
3/19/13
Read Re: Cantor's absurdity, once again, why not?
Virgil
3/16/13
Read Re: WM's absurdity, once again, why not?
Virgil
3/17/13
Read Re: Cantor's absurdity, once again, why not?
fom
3/14/13
Read Re: Cantor's absurdity, once again, why not?
Virgil
3/14/13
Read Re: Cantor's absurdity, once again, why not?
Jesse F. Hughes
3/15/13
Read Re: Cantor's absurdity, once again, why not?
mueckenh@rz.fh-augsburg.de
3/15/13
Read Re: Cantor's absurdity, once again, why not?
Virgil
3/14/13
Read Re: Cantor's absurdity, once again, why not?
David Petry
3/14/13
Read Re: Cantor's absurdity, once again, why not?
Jesse F. Hughes
3/14/13
Read Re: Cantor's absurdity, once again, why not?
David Petry
3/14/13
Read Re: Cantor's absurdity, once again, why not?
Jesse F. Hughes
3/15/13
Read Re: Cantor's absurdity, once again, why not?
David Petry
3/15/13
Read Re: Cantor's absurdity, once again, why not?
Jesse F. Hughes
3/15/13
Read Re: Cantor's absurdity, once again, why not?
David Petry
3/15/13
Read Re: Cantor's absurdity, once again, why not?
Virgil
3/15/13
Read Re: Cantor's absurdity, once again, why not?
fom
3/15/13
Read Re: Cantor's absurdity, once again, why not?
fom
3/15/13
Read Re: Cantor's absurdity, once again, why not?
fom
3/15/13
Read Re: Cantor's absurdity, once again, why not?
Jesse F. Hughes
3/14/13
Read Re: Cantor's absurdity, once again, why not?
ross.finlayson@gmail.com

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