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Topic: Matheology § 291
Replies: 28   Last Post: Jun 19, 2013 5:29 PM

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Posts: 18,076
Registered: 1/29/05
Re: Matheology § 291
Posted: Jun 19, 2013 9:15 AM
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On 18 Jun., 22:45, Zeit Geist <tucsond...@me.com> wrote:

> It contradicts the results of common arithmetic, but this does not
> make it "false".
> It is still consistent and has actual real-world applications.

An uncountable set cannot be well-ordered in any theory.
Therefore a theory which "proves" that it can be well-ordered is
false. That is completely independent of game theory or analysis. It
is an absolute proof - independent of any axioms.

Regards, WM

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