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Tonico schrieb:
> The argument seems extremely simple to me...so simple that some seem to
> feel it MUST be wrong, for some reason (perhaps the reason is that if
> something ain't complex then it can't be maths...): take ANY list of
> real numbers (or take ANY injective mapping
> f:N --> R). Then it can be shown with the genial and simple diagonal
> argument that Cantor came up,
Unfortunately, his method fails in some cases which is fatal for an
impossibility proof. The list, for instance,
0.0
0.1
0.11
0.111
...
with the prescription that the diagonal digit 0 is replaced by 1,
delivers a number which is not different from any list number, except
in the last digit, which, however, does not exist.
Regards, WM
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