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Re: Matheology § 191
Posted:
Jan 14, 2013 4:35 PM
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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.
Regards, WM
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