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From: joes <noreply@example.org>
Newsgroups: sci.math
Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers
Date: Thu, 21 Nov 2024 20:59:35 -0000 (UTC)
Organization: i2pn2 (i2pn.org)
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Am Thu, 21 Nov 2024 17:55:25 +0100 schrieb WM:
> On 21.11.2024 14:05, FromTheRafters wrote:
>> WM wrote :
> 
>>>>>>> Let every unit interval after a natural number on the real axis be
>>>>>>> coloured white with exception of the powers of 2 which are
>>>>>>> coloured black. Is it possible to shift the black intervals so
>>>>>>> that the whole real axis becomes black?
> 
>>> The analytical limit is wrong in your opinion?
>> Which limit?
> The limit of the sequence f(n) of relative coverings in the interval (0,
> n] is 0, not 1.
Yes, of the infinite real axis none are black.

>> Which limit?
> That is where Cantor's bijections are believed to be complete.
I mean, bijections are also complete for every finite subset.

-- 
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.