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

Am 06.12.2024 um 20:46 schrieb Chris M. Thomasson:

On 12/5/2024 11:06 PM, Moebius wrote:

Am 06.12.2024 um 01:30 schrieb Chris M. Thomasson:

On 12/5/2024 8:08 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.

>
Mückenheim, bei Dir sind wirklich ein paar Schrauben locker.
>
Indeed! Numbers which do not exist can not be "taken" or "given" Mückenheim is completely right here! On the other hand, "those"?!
>

Do you even know how to take any natural number, create a unique pair and then get back to the original number from said pair?

>
I certainly don't know. Please tell me!

 Take any natural number and run it through Cantor Pairing to get a unique pair. From this pair alone we can also get back to the original number.

Where can I find those natural numbers? And what EXACTLY do you mean by "run it through Cantor Pairing"? I and how does it _create_ pairs?
Strange things are going on.