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

Am Fri, 17 Jan 2025 11:42:02 +0100 schrieb WM:

On 17.01.2025 01:37, Richard Damon wrote:
 

The fact that you think more can be created, just means you never
understood how to have all of them in the first place.

Only if we have all of them and can double all of them then by 2n > n
greater numbers than all of them are created.

On the contrary. Only if you have finitely many, does the "doubling"
of the elements (not the set) result in larger numbers. The results
might also not be larger than *every* input number.

--
Am Sat, 20 Jul 2024 12:35:31 +0000 schrieb WM in sci.math:
It is not guaranteed that n+1 exists for every n.