Sujet : Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)
De : noreply (at) *nospam* example.org (joes)
Groupes : sci.mathDate : 10. Jan 2025, 09:52:39
Autres entêtes
Organisation : i2pn2 (i2pn.org)
Message-ID : <3843025c38ccd3e0c669086eab08e88d09578d2e@i2pn2.org>
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User-Agent : Pan/0.145 (Duplicitous mercenary valetism; d7e168a git.gnome.org/pan2)
Am Thu, 09 Jan 2025 23:41:40 +0100 schrieb WM:
On 09.01.2025 23:05, Jim Burns wrote:
On 1/9/2025 3:23 PM, WM wrote:
Thus, because ordinals are well.ordered,
an infinite set of endsegments requires all natural numbers as indices.
That means the content becomes/is empty if the set becomes/is infinite.
There is no "infinitieth" index with an empty content.
-- 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.