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From: Jeff Barnett <jbb@notatt.com>
Newsgroups: sci.logic
Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers
 (extra-ordinary)
Date: Thu, 12 Dec 2024 10:29:58 -0700
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On 12/12/2024 6:59 AM, joes wrote:
> 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.

But that's sort of what mappings are for! Aren't they?
-- 
Jeff Barnett