On Monday, 17 June 2013 21:46:17 UTC+2, Virgil wrote: > > This shows that these "proofs" are nonsense
> It only proves that different sets of assumptions lead to different conclusions,
In this case the question is whether the reals can be well-ordered - and absolutely nothing else! A theory that says yes and no does not contribute soemthing of value.
Look, when I ask what is 5 + 5? You may answer, depending on the axioms, 10 or not 10, then your answer shows just the same kind of value as matheology. The only empty set that has a right to ebe considered is the story of success of set theory.
Descartes once claimed that the only vacuum existing in the universe, was the brain of Pascal. With respect to modern set theorists, he might have even found some better sites.