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From: WM <wolfgang.mueckenheim@tha.de>
Newsgroups: sci.math
Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers
 (extra-ordinary)
Date: Fri, 13 Dec 2024 20:19:24 +0100
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On 13.12.2024 19:29, joes wrote:
> 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.

No, it came earlier and it was no bijecton.

Regards, WM
>