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.