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From: joes <noreply@example.org>
Newsgroups: sci.math
Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers
 (extra-ordinary)
Date: Thu, 5 Dec 2024 12:56:15 -0000 (UTC)
Organization: i2pn2 (i2pn.org)
Message-ID: <da99c67bd5f1d280212fbd29dec939f027876cbd@i2pn2.org>
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Am Thu, 05 Dec 2024 12:42:17 +0100 schrieb WM:
> On 05.12.2024 11:53, joes wrote:
>> Am Thu, 05 Dec 2024 09:54:11 +0100 schrieb WM:
>>> On 04.12.2024 20:59, Chris M. Thomasson wrote:
>>>
>>>> Not sure why WM thinks that Cantor Pairing does not work with any
>>>> natural number... I think I am not misunderstanding WM here.
>>> Take any natnumber you can. Almost all natnumbers are following.
>>> Infinitely many of them cannot be "taken" or "given" and cannot be
>>> proven to be in any mapping. But Cantor claims that all without any
>>> exception can be taken.
>> Yes, of course they can? Why shouldn't they? What does it mean to you?
> But every number you can take belongs to a vanishing subset of ℕ.
What does that have to do with the ability to be "chosen"?

-- 
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.