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

On 10.01.2025 14:09, joes wrote:

Am Fri, 10 Jan 2025 10:52:46 +0100 schrieb WM:

Hint: The set of all natural numbers, IN, does not change.

So all natural numbers are fixed. Then for every point on the ordinal
line it is determined whether there is a natural number. Although we
cannot determine it because most are dark.

There are no points without numbers.

As I said. You can prove it when doubling all elements of the set {1, 2, 3, ..., ω}. The regular distance of next neighbours remains as a conserved property in correct mathematics.
Regards, WM