Sujet : Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)
De : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.logicDate : 10. Dec 2024, 18:01:04
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <vj9s4i$11a3p$1@dont-email.me>
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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.
Regards, WM
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