Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)

On 06.12.2024 00:48, Richard Damon wrote:

On 12/5/24 11:08 AM, WM wrote:

On 05.12.2024 13:26, Richard Damon wrote:
>

Which ones can not be "taken" or "given".

>
Those with less than infinitely many successors. Cantor claims that all numbers are in his bijections. No successors remaining.

Which since such numbers don't exist,

If so, then infinity cannot be used completely.
"The infinite sequence thus defined has the peculiar property to contain the positive rational numbers completely, and each of them only once at a determined place." [G. Cantor, letter to R. Lipschitz (19 Nov 1883)]
None is missing, let alone a natural number or infinitely many successors.
Regards, WM