In article <firstname.lastname@example.org>, Graham Cooper <email@example.com> wrote:
>by ... 'use the diagonal' 0.a1a2a3... > >a1 = 0 if the first real on YOUR list is 1, otherwise 1. >a2 = 0 if the first real on YOUR list is 1, otherwise 0. >... > >proves nothing. chose a different enumeration f, and the values >arbitrarily change depending on your particular f.
Yes, and *every one of them* gives you a number that isn't in the set. There isn't just one number missing from your set of reals, almost all of them are missing!