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Topic: Matheology § 223: AC and AMS
Replies: 102   Last Post: Apr 18, 2013 12:26 AM

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 Ralf Bader Posts: 488 Registered: 7/4/05
Re: Matheology § 223: AC and AMS
Posted: Mar 17, 2013 4:05 PM
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WM wrote:

> On 17 Mrz., 07:49, fom <fomJ...@nyms.net> wrote:
>> On 3/16/2013 1:25 PM, WM wrote:
>>

>> > On 16 Mrz., 18:17, fom <fomJ...@nyms.net> wrote:
>>
>> > An additional remark:
>>
>> >> No.  Zermelo's AC requires that one name can be written
>> >> with certainty.

>>
>> > This statement is not Zermelo's original statement. It can be proven
>> > to hold, iff it was possible to choose, in practice, one element from
>> > every subset of T. If this was do-able.

>>
>> Well, the critical investigation of the
>> statement during the twentieth century
>> resulted in taking it as an axiom.
>>
>> Its provability is not the criterion
>> by which it is to be understood.
>>
>>
>>

>> > There have been many mathematicians criticizing Zermelo's axiom
>> > (Borel, Peano, Poincaré and others). Zermelo discusses a lot of
>> > objections in another 1908 paper. And the most amazing fact is, that
>> > at that time none of the arguments aims at the fact, that there are
>> > only countably many choices possible by theoretical reasons.

>>
>> > Zermelo agrees that the AC is not provable. He did not know, at that
>> > time, that it is disprovable by theoretical mathematics.

>>
>> Disprovable by belief, perhaps.

>
> Zermelo created the axiom of choice because it was obvious to him that
> is is correct, i.e., that his choice can be done, at least in
> principle.

So he first found its correctness obvious, and then he created it? You are
even too stupid to well-order a simple sequence of events. Children of
kindergarten age are expected, and usually able, to do this.

> Then he went on and "proved" from this axiom the well-
> ordering theorem. If he had known that the axiom of choice can be
> disproved by proving that at most countably many choiced can be
> executed, even in principle, why should he have used it? With same
> counterfactuality he could have inveted the axiom: Every set has a
> well-ordering.

And you believe that you can say anything about well-ordering an infinite
set on the basis of your inability to well-order a two-element set?
Your crap reaches hitherto unknown levels of stupidity every day.

Date Subject Author
3/14/13 Alan Smaill
3/14/13 mueckenh@rz.fh-augsburg.de
3/14/13 Virgil
3/14/13 fom
3/14/13 mueckenh@rz.fh-augsburg.de
3/14/13 fom
3/14/13 mueckenh@rz.fh-augsburg.de
3/14/13 fom
3/15/13 mueckenh@rz.fh-augsburg.de
3/15/13 fom
3/15/13 mueckenh@rz.fh-augsburg.de
3/15/13 Virgil
3/15/13 fom
3/16/13 mueckenh@rz.fh-augsburg.de
3/16/13 fom
3/16/13 mueckenh@rz.fh-augsburg.de
3/16/13 fom
3/16/13 mueckenh@rz.fh-augsburg.de
3/16/13 Virgil
3/17/13 fom
3/17/13 Virgil
3/16/13 mueckenh@rz.fh-augsburg.de
3/16/13 Virgil
3/17/13 fom
3/17/13 mueckenh@rz.fh-augsburg.de
3/17/13 Virgil
3/17/13 mueckenh@rz.fh-augsburg.de
3/17/13 Virgil
3/18/13 fom
3/18/13 mueckenh@rz.fh-augsburg.de
3/18/13 fom
3/18/13 mueckenh@rz.fh-augsburg.de
3/18/13 fom
3/18/13 Virgil
3/18/13 mueckenh@rz.fh-augsburg.de
3/18/13 fom
3/18/13 mueckenh@rz.fh-augsburg.de
3/18/13 fom
3/19/13 mueckenh@rz.fh-augsburg.de
3/19/13 fom
3/19/13 fom
3/19/13 mueckenh@rz.fh-augsburg.de
3/19/13 fom
3/19/13 Virgil
3/19/13 fom
3/19/13 Virgil
3/19/13 Virgil
4/17/13 Virgil
3/18/13 Virgil
3/18/13 Virgil
3/18/13 fom
3/18/13 fom
3/18/13 mueckenh@rz.fh-augsburg.de
3/18/13 fom
3/18/13 Virgil
3/19/13 fom
3/18/13 Virgil
3/18/13 fom
3/18/13 fom
3/18/13 mueckenh@rz.fh-augsburg.de
3/18/13 fom
3/18/13 mueckenh@rz.fh-augsburg.de
3/18/13 Virgil
3/18/13 fom
3/18/13 fom
3/18/13 mueckenh@rz.fh-augsburg.de
3/18/13 Virgil
3/19/13 mueckenh@rz.fh-augsburg.de
3/19/13 Virgil
3/19/13 mueckenh@rz.fh-augsburg.de
3/19/13 Virgil
3/18/13 fom
3/19/13 mueckenh@rz.fh-augsburg.de
3/19/13 Virgil
3/19/13 fom
4/17/13 Virgil
4/18/13 fom
3/18/13 Virgil
3/18/13 mueckenh@rz.fh-augsburg.de
3/18/13 Virgil
3/18/13 Virgil
3/18/13 Virgil
3/17/13 Ralf Bader
3/16/13 Virgil
3/16/13 Virgil
3/17/13 fom
3/15/13 fom
3/16/13 mueckenh@rz.fh-augsburg.de
3/16/13 Virgil
3/15/13 Virgil
3/15/13 mueckenh@rz.fh-augsburg.de
3/15/13 Virgil
3/15/13 fom
3/15/13 fom
3/15/13 Virgil
3/15/13 fom
3/16/13 Virgil
3/14/13 Virgil
3/14/13 Virgil
3/16/13 mueckenh@rz.fh-augsburg.de
3/16/13 Virgil
3/17/13 fom

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