On Saturday, January 18, 2014 5:44:32 PM UTC, wpih...@gmail.com wrote:
> Trivial. As WM has pointed out there is a list of every > integer. > > However, there is no list of every real number. > > So the real numbers, even though they are sub-countable > are not countable.
Most people think that WM's argument why Cantor's proof that the reals are uncountable should be invalid, is nonsense. However, if his argument were correct, then that argument on its own, without any involvement of Cantor's proof, would show that the reals are uncountable!