måndag 21 mars 2022 kl. 15:10:22 UTC+1 skrev WM:
>
zelos...@gmail.com schrieb am Montag, 21. März 2022 um 06:14:34 UTC+1:
> > lördag 19 mars 2022 kl. 17:35:13 UTC+1 skrev WM:
> > > There is no permutation of the Xs in
> > >
> > > XOOO...
> > > XOOO...
> > > XOOO...
> > > XOOO...
> > > ...
> > >
> > > such that all positions are covered by Xs.
> > >
> > > If it were, it would imply, that in the sequence
> > >
> > > XOOOOOOOOOOOOOOOOOOOOOOOOOOOO...
> > >
> > > all Os could be covered by the X.
> > >
> > > Therefore Cantor's notion of countability is trash.
> > >
> > Nope, it works just fine.
> It works according to (n + m)(n + m + 1)/2 + m = k. Alas for every such k the set of O's has not changed by more than zero.
Nothing has changed, no O's has been dealt with. The function is surjective
> > It is your argument that is fundamentally flawed.
> Why? Look, you can also try to bring the fractions into the first column. Also here you fail for every natural number k
We do not need to do anything of the sort. It is a function that is surjective and all and that is all that matters, not your fucking matrix.
>
> 1/1, 1/2, 1/3, 1/4, ...
> 2/1, 2/2, 2/3, 2/4, ...
> 3/1, 3/2, 3/3, 3/4, ...
> 4/1, 4/2, 4/3, 4/4, ...
> 5/1, 5/2, 5/3, 5/4, ...
> ...
>
> 1/1, 2/1, 1/3, 1/4, ... 1/1, 3/1, 1/3, 1/4, ... 1/1, 3/1, 4/1, 1/4, ... 1/1, 3/1, 4/1, 1/4, ...
> 1/2, 2/2, 2/3, 2/4, ... 1/2, 2/2, 2/3, 2/4, ... 1/2, 2/2, 2/3, 2/4, ... 1/2, 5/1, 2/3, 2/4, ...
> 3/1, 3/2, 3/3, 3/4, ... 2/1, 3/2, 3/3, 3/4, ... 2/1, 3/2, 3/3, 3/4, ... 2/1, 3/2, 3/3, 3/4, ...
> 4/1, 4/2, 4/3, 4/4, ... 4/1, 4/2, 4/3, 4/4, ... 1/3, 4/2, 4/3, 4/4, ... 1/3, 4/2, 4/3, 4/4, ...
> 5/1, 5/2, 5/3, 5/4, ... 5/1, 5/2, 5/3, 5/4, ... 5/1, 5/2, 5/3, 5/4, ... 2/2, 5/2, 5/3, 5/4, ...
> ... ... ... ...
All irrelevant to cantors function.
>
> to lear any position. let alone reaching
>
> 1/1, __, __, __, ...
> 1/2, __, __, __, ...
> 2/1, __, __, __, ...
> 1/3, __, __, __, ...
> 2/2, __, __, __, ...
This has nothing to do with cantors function.
> ...
> Cantor's notion of countability is trash.
Nope, this only demonstrates that you cannot argue without doing strawmen.
>
> Regards, WM