>> >> Again, I don't see how the hypothesis that >> >> 2^{aleph_0} = aleph_1 >> >> is relevant to any of these claims. Are you >> suggesting that if >> >> 2^{aleph_0} > aleph_1 >> >> then there would be finitely many reals between 0 and >> 1? > > No, of course not. Again, you need to read everything > in context of the claims. There is much more to > Cantor's theory than this simple proposition. The OP's > claim depends on a geometrical interpretation of the > difference between 0.999... and unity. If the CH > is true, no such interpretation is possible. If the > CH is not used, the OP's terms are not differentiable.
Well, I guess I give up. I still fail to see the relevance of the Continuum Hypothesis. Or what you mean by "differentiable".
-- Jesse F. Hughes "How come there's still apes running around loose and there are humans? Why did some of them decide to evolve and some did not? Did they choose to stay as a monkey or what?" -Kans. Board of Ed member
