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From: joes <noreply@example.org>
Newsgroups: sci.logic
Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers
 (extra-ordinary)
Date: Thu, 12 Dec 2024 13:59:02 -0000 (UTC)
Organization: i2pn2 (i2pn.org)
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Am Tue, 10 Dec 2024 18:01:04 +0100 schrieb WM:
> On 10.12.2024 13:19, Richard Damon wrote:
> 
>> The pairing is between TWO sets, not the members of a set with itself.
> 
> The pairing is between the elements. Otherwise you could pair R and Q by
> simply claiming it.
> "The infinite sequence thus defined has the peculiar property to contain
> the positive rational numbers completely, and each of them only once at
> a determined place." [Cantor] Note the numbers, not the set.
What Richard meant: do not confuse the set being mapped with the one being
mapped onto.

-- 
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.