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Re: Cantor Confusion

Subject: Re: Cantor Confusion
From: Virgil
Date: Sat, 30 Sep 2006 12:11:26 -0600
Newsgroups: sci.math
In article <1159611066.767146.101490@xxxxxxxxxxxxxxxxxxxxxxxxxxx>,
 mueckenh@xxxxxxxxxxxxxxxxx wrote:

> cbrown@xxxxxxxxxxxxxxxxx schrieb:
> 
> 
> > Therefore, the assertion "M is a complete list of reals" is only true
> > if the assertion "M is complete, and M is not complete" is true.
> >
> > (A and ~A) = false.
> 
> A system has the property W, if it can be proved that the reals can be
> well-ordered. A system has the property ~W if it can be proved that the
> reals cannot be well-ordered. A system is self-contradictive, if W and
> ~W can be proved. Therefore the system does not exist.
> 
So "Mueckenh" concludes that there is no system in which there is a 
complete list of reals? So what else is new?

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