In article <firstname.lastname@example.org>, WM <email@example.com> wrote:
> On 13 Jan., 21:19, Virgil <vir...@ligriv.com> wrote: > > > > A listing of all finite initial segments of all possible tails is > > > possible. > > > Cantor's diagonal argument leads to an anti-diagonal that differs from > > > every finite initial segment by a finite initial segment which is a > > > self-contradiction since all possible finite initial segments that > > > possibly could differ are already there. > > > > Any non-finite sequence, such as an anti-diagonal, NECESSARILY differs > > from every finite sequence > > at a finite place, i.e., within a finite initial segment of the anti- > diagonal. (Elsewhere it is impossible to fix a digit which could > differ.) Therefore, if the list contains all possible finite initial > segments, then the anti-diagonal necessarily differs and necessarily > cannot differ from all entries of the list.
An infinitely long anti-diagonal can differ from a different listed entry at each of its infinitely many places. Thus unless the list is uncountably long, it can differ from all of the lists entries. > > How long have you needed to understand the former when you were young?
That WMytheology is bad mathematics, I learned at my first acquaintance with WM's corrupted versions of mathematics.
> Have you meanwhile grown too senile to understand the latter, which is > as easy to comprehend?
I never "comprehend" claims that I have disproved. --