On 14 Jan., 22:09, Virgil <vir...@ligriv.com> wrote: > In article > <77335c81-be83-493a-bd61-dfc75bc00...@10g2000yqo.googlegroups.com>, > > WM <mueck...@rz.fh-augsburg.de> wrote: > > On 14 Jan., 00:00, Virgil <vir...@ligriv.com> wrote: > > > > An infinitely long anti-diagonal can differ from a different listed > > > entry at each of its infinitely many places > > > each of which belongs to a finite intial segment and hence is present > > in a sensibly constructed list. > > it still differs from each of the listed elements
yes, but never from all - since all possibilities are in the list - like in the Binary Tree. > > > > > >Thus unless the list is > > > uncountably long, it can differ from all of the lists entries > > > and it cannot differ from all entries if they were sensibly chosen. > > But, nevertheless, it does.
Yes, it does and it does not. That's called a contradiction.