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

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Sujet : Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)
De : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.math
Date : 13. Dec 2024, 18:20:59
Autres entêtes
Message-ID : <vjhqdr$174ch$1@solani.org>
References : 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26
User-Agent : Mozilla Thunderbird
On 13.12.2024 15:41, joes wrote:
 > Am Fri, 13 Dec 2024 09:42:36 +0100 schrieb WM:
 >> The subset is considered as its own independent set D = {10n | n ∈ ℕ}
 >> and then it is attached to the set ℕ = {1, 2, 3, ...}. That does not
 >> change the subset.
 > It changes the domain from D to N. What operation is „attachment”?
You can also say pairing. The elements of D are paired with the elements 10n of ℕ. After this small detour everything proceeds as usual. Same procedure as every year.
Regards, WM

Date Sujet#  Auteur
13 Dec 24 * Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)5joes
13 Dec 24 `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)4WM
13 Dec 24  `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)3joes
13 Dec 24   `* Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)2WM
14 Dec 24    `- Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)1joes

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