In article <firstname.lastname@example.org>, WM <email@example.com> wrote:
> 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.
So that in the wild weird world of WMytheology, though not elsewhere, one can have a thing which differing from each member of a list without differing from all members of that list. > > > > > > > > > >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.
But note that that only happens in WMytheology.
Outside WMytheology, an infinite sequence differs from each of any set of finite sequences, if only by being infinite instead of finite. But according to WM, within his wild wild world of WMytheology an infinite sequence can be identical to a finite sequence.