> "T.H. Ray" <thray123@aol.com> writes: > > >> > >> 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
