Sujet : Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)
De : noreply (at) *nospam* example.org (joes)
Groupes : sci.mathDate : 16. Dec 2024, 14:13:06
Autres entêtes
Organisation : i2pn2 (i2pn.org)
Message-ID : <6062f20ae753ad3a27fbf2a62ad6453b9e88ffe4@i2pn2.org>
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User-Agent : Pan/0.145 (Duplicitous mercenary valetism; d7e168a git.gnome.org/pan2)
Am Fri, 13 Dec 2024 09:54:12 +0100 schrieb WM:
On 13.12.2024 03:29, Richard Damon wrote:
On 12/12/24 4:57 PM, WM wrote:
D = {10n | n ∈ ℕ} is the set being mapped. The set D being mapped does
not change when it is attached to the set ℕ being mapped in form of
black hats.
And so, which element of which set didn't get mapped to a member of the
other by the defined mapping?
No such element can be named. But 9/10 of all ℕ cannot get mapped
because the limit of the constant sequence 1/9, 1/9, 1/9, ... is 1/9.
This proves the existence of numbers which cannot be named.
I bet you that 2, …, 9 can be mapped.
-- 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.
Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)