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Topic: ZFC is inconsistent
Replies: 54   Last Post: Mar 23, 2013 9:02 PM

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fom

Posts: 1,968
Registered: 12/4/12
Re: ZFC is inconsistent
Posted: Mar 18, 2013 4:00 AM
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On 3/17/2013 3:25 AM, WM wrote:
> On 17 Mrz., 00:10, Virgil <vir...@ligriv.com> wrote:
>> In article
>> <489bd644-d0e7-41cb-8aca-18c916979...@bs5g2000vbb.googlegroups.com>,
>>
>> WM <mueck...@rz.fh-augsburg.de> wrote:

>>> On 16 Mrz., 16:10, fom <fomJ...@nyms.net> wrote:
>>
>>>> Borel was critical of the axiom of choice.
>>
>>> Very.
>>
>>>> According to most accounts, it had been determined
>>>> that much of his work had implicitly used the
>>>> axiom of choice.

>
> Impossible. Borel worked in mathematics only. And he knew that
> uncountability is not a part of mathematics. In other instances AC is
> not required.

>>
>>> There is no problem. The axiom of choice as such is completely
>>> acceptable. What is inacceptable (because provably false) is the
>>> application of AC to uncountable sets.

>>
>> While the axiom of choice applied to solid spheres has led to an unusual
>> result, that result does not DISPROVE the axiom of choice, since the
>> sort of partitioning required is not guaranteed to preserve volumes,

>
> So it is an insane partition, i.e., it is not a partition at all.
> However, the result is 1 = 2 and that is wrong in mathematics, with no
> regards of its generation.


Actually, there is regard taken of its
generation. On page 4 you will find the
quote:

"The Banach-Tarski Paradox does not apply
to finite sets, so it cannot be used to
take a finite set and double it."

http://sdsu-dspace.calstate.edu/bitstream/handle/10211.10/292/Freiling_Eric.pdf?sequence=1







Date Subject Author
3/13/13
Read ZFC is inconsistent
byron
3/13/13
Read Re: ZFC is inconsistent
Inverse 18 Mathematics
3/13/13
Read Re: ZFC is inconsistent
byron
3/13/13
Read Re: ZFC is inconsistent
YBM
3/23/13
Read Re: ZFC is inconsistent
Jesse F. Hughes
3/13/13
Read Re: ZFC is inconsistent
Frederick Williams
3/14/13
Read Re: ZFC is inconsistent
byron
3/15/13
Read Re: ZFC is inconsistent
mueckenh@rz.fh-augsburg.de
3/15/13
Read Re: ZFC is inconsistent
YBM
3/15/13
Read Re: ZFC is inconsistent
Virgil
3/15/13
Read Re: ZFC is inconsistent
fom
3/16/13
Read Re: ZFC is inconsistent
mueckenh@rz.fh-augsburg.de
3/16/13
Read Re: ZFC is inconsistent
fom
3/16/13
Read Re: ZFC is inconsistent
mueckenh@rz.fh-augsburg.de
3/16/13
Read Re: ZFC is inconsistent
Virgil
3/17/13
Read Re: ZFC is inconsistent
mueckenh@rz.fh-augsburg.de
3/17/13
Read Re: ZFC is inconsistent
Virgil
3/18/13
Read Re: ZFC is inconsistent
fom
3/18/13
Read Re: ZFC is inconsistent
fom
3/17/13
Read Re: ZFC is inconsistent
fom
3/17/13
Read Re: ZFC is inconsistent
mueckenh@rz.fh-augsburg.de
3/17/13
Read Re: ZFC is inconsistent
Virgil
3/17/13
Read Re: ZFC is inconsistent
fom
3/18/13
Read Re: ZFC is inconsistent
mueckenh@rz.fh-augsburg.de
3/18/13
Read Re: ZFC is inconsistent
Virgil
3/17/13
Read Re: ZFC is inconsistent
Virgil
3/18/13
Read Re: ZFC is inconsistent
fom
3/16/13
Read Re: ZFC is inconsistent
Virgil
3/16/13
Read Re: ZFC is inconsistent
mueckenh@rz.fh-augsburg.de
3/16/13
Read Re: ZFC is inconsistent
fom
3/16/13
Read Re: ZFC is inconsistent
mueckenh@rz.fh-augsburg.de
3/16/13
Read Re: ZFC is inconsistent
Virgil
3/17/13
Read Re: ZFC is inconsistent
mueckenh@rz.fh-augsburg.de
3/17/13
Read Re: ZFC is inconsistent
Virgil
3/17/13
Read Re: ZFC is inconsistent
mueckenh@rz.fh-augsburg.de
3/17/13
Read Re: ZFC is inconsistent
Virgil
3/17/13
Read Re: ZFC is inconsistent
fom
3/17/13
Read Re: ZFC is inconsistent
fom
3/17/13
Read Re: ZFC is inconsistent
mueckenh@rz.fh-augsburg.de
3/17/13
Read Re: ZFC is inconsistent
fom
3/17/13
Read Re: ZFC is inconsistent
mueckenh@rz.fh-augsburg.de
3/17/13
Read Re: ZFC is inconsistent
Virgil
3/18/13
Read Re: ZFC is inconsistent
fom
3/18/13
Read Re: ZFC is inconsistent
mueckenh@rz.fh-augsburg.de
3/18/13
Read Re: ZFC is inconsistent
Virgil
3/18/13
Read Re: ZFC is inconsistent
mueckenh@rz.fh-augsburg.de
3/18/13
Read Re: ZFC is inconsistent
fom
3/18/13
Read Re: ZFC is inconsistent
Virgil
3/18/13
Read Re: ZFC is inconsistent
Virgil
3/18/13
Read Re: ZFC is inconsistent
fom
3/18/13
Read Re: ZFC is inconsistent
Virgil
3/18/13
Read Re: ZFC is inconsistent
fom
3/18/13
Read Re: ZFC is inconsistent
fom
3/17/13
Read Re: ZFC is inconsistent
Virgil
3/16/13
Read Re: WM is inconsistent
Virgil

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