In article <88476fa9-bbc3-4ac1-9080-557f6a3b5f74@j8g2000yqd.googlegroups.com>, WM <mueckenh@rz.fh-augsburg.de> wrote:
> On 18 Jun., 13:09, "Peter Webb" > > > The computable numbers are countable. > > > > And similarly Cantor's proof does not show that there are an uncountable > > number of Reals. > > What do you understand by "uncountable"? > > > It proves exactly what Cantor claimed it did, which is that > > you cannot list all Reals. > > Cantor said that there are 2^aleph_0 reals and aleph_0 rationals. And > he "proved" that 2^aleph_0 > aleph_0. And he said that there are an > uncountable number of reals because countable means listable. > > Regards, WM