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

Am Fri, 13 Dec 2024 18:20:59 +0100 schrieb WM:

On 13.12.2024 15:41, joes wrote:
 > Am Fri, 13 Dec 2024 09:42:36 +0100 schrieb WM:
 
 >> The subset is considered as its own independent set D = {10n | n ∈
 >> ℕ}
 >> and then it is attached to the set ℕ = {1, 2, 3, ...}. That does not
 >> change the subset.
 > It changes the domain from D to N. What operation is „attachment”?
You can also say pairing. The elements of D are paired with the elements
10n of ℕ. After this small detour everything proceeds as usual.

Aha, and what is paired with the rest of N? This is not the identity.
I was under the impression the bijection step came later.

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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.