On 6 Feb., 00:31, Virgil <vir...@ligriv.com> wrote: > In article > <3ffb012f-81a5-410d-8257-f8eee410a...@e10g2000vbv.googlegroups.com>, > > WM <mueck...@rz.fh-augsburg.de> wrote: > > But how to pick this dark matter of numbers? Only accessible numbers > > can get picked. Unpickable numbers cannot appear anywhere, neither in > > mathematics nor in Cantor's lists. Therefore Cantor "proves" that the > > pickable numbers, for instance numbers that can appear as an > > antidiagonal of a defined list, i.e., the countable numbers, are > > uncountable. > > Nonsense! > > What Cantor proved was that no list of accessible real numbers > (accessible because listable) can include all accessible numbers, > because any such list itself proves the existence of numbers not listed.
Correct. And König proved (or at least knew the fact) that the set of accessible numbers is countable.