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

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mueckenh@rz.fh-augsburg.de

Posts: 18,076
Registered: 1/29/05
Re: ZFC is inconsistent
Posted: Mar 17, 2013 4:25 AM
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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.

Regards, WM


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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