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

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.