Sujet : Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)
De : noreply (at) *nospam* example.org (joes)
Groupes : sci.mathDate : 26. Dec 2024, 20:59:29
Autres entêtes
Organisation : i2pn2 (i2pn.org)
Message-ID : <b559aa8077aafcc7d799b21e82445c9f724ee4c6@i2pn2.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
User-Agent : Pan/0.145 (Duplicitous mercenary valetism; d7e168a git.gnome.org/pan2)
Am Fri, 20 Dec 2024 11:13:41 +0100 schrieb WM:
On 20.12.2024 03:52, Richard Damon wrote:
He builds an infinite sequence that pairs a natural number to every
rational number .
And I build an infinite sequence of intervals [1, n] that contains every
natural number.
There is no entry in the sequence that contains every natural number.
-- 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.