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

On 12/6/24 8:04 AM, WM wrote:

On 06.12.2024 11:32, joes wrote:

Am Fri, 06 Dec 2024 10:01:43 +0100 schrieb WM:

 

"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.

And each of them has infinitely many successors,

 The sequence has no successors. Therefore all numbers including their successors are contained in the sequence.
 Regards, WM
 

A sequence doesn't have successors, unless you are talking about a sequence that is part of a sequence of sequences.
You are just stuck in your false notions of what you are talking about.