Date: Jan 13, 2013 6:00 PM
Author: Virgil
Subject: Re: Matheology � 191
In article

<49fd32d6-eeca-489a-b6c0-b2d35e15e51f@f8g2000yqa.googlegroups.com>,

WM <mueckenh@rz.fh-augsburg.de> 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.

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