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

On 20.01.2025 15:31, FromTheRafters wrote:

It happens that WM formulated :

On 19.01.2025 16:10, joes wrote:

Am Sun, 19 Jan 2025 11:47:50 +0100 schrieb WM:

>

They contain only natnumbers which have ℵ₀ successors.

There are no naturals with a finite number of successors, otherwise
you could count backwards from the end.

>
That is possible: ω-1, ω-2, ω-3, ...

 Wrong, omega has no immediate predecessor.

You cannot see the whole sequence from 1 to ω-1. But there are more things in heaven and earth than you can see.
Regards, WM