Path: ...!weretis.net!feeder9.news.weretis.net!i2pn.org!i2pn2.org!.POSTED!not-for-mail
From: joes <noreply@example.org>
Newsgroups: sci.math
Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers
Date: Tue, 12 Nov 2024 11:23:47 -0000 (UTC)
Organization: i2pn2 (i2pn.org)
Message-ID: <daced9caf42d63931e6eb22b5d718542f615dc30@i2pn2.org>
References: <vg7cp8$9jka$1@dont-email.me> <vgab11$st52$3@dont-email.me>
	<ecffc7c0-05a2-42df-bf4c-8ae3c2f809d6@att.net>
	<vgb0ep$11df5$4@dont-email.me>
	<35794ceb-825a-45df-a55b-0a879cfe80ae@att.net>
	<vgfgpo$22pcv$1@dont-email.me>
	<40ac3ed2-5648-48c0-ac8f-61bdfd1c1e20@att.net>
	<vgg57o$25ovs$2@dont-email.me>
	<71fea361-0069-4a98-89a4-6de2eef62c5e@att.net>
	<vggh9v$27rg8$3@dont-email.me>
	<ff2c4d7c-33b4-4aad-a6b2-88799097b86b@att.net>
	<vghuoc$2j3sg$1@dont-email.me>
	<d79e791d-d670-4a5a-bd26-fdf72bcde6bc@att.net>
	<vgj4lk$2ova9$3@dont-email.me>
	<f154138e-4482-4267-9332-151e2fd9f1ba@att.net> <vgkoi7$b5pp$1@solani.org>
	<6d9f3b10-47ad-459c-9536-098ce91f514b@att.net>
	<vgni02$3osmc$1@dont-email.me>
	<16028da0-456b-47ad-8baa-7982a7cbdf10@att.net> <vgpupb$abrr$2@dont-email.me>
	<fc4df00f-96d1-402f-89d2-739cb8ddd863@att.net> <vgsg04$t7fk$1@dont-email.me>
	<1fca3a53-1cb4-4fd2-85b6-85e9b69ca23b@att.net>
	<vgtpmo$153hf$6@dont-email.me> <vgtu6h$16i4q$1@dont-email.me>
	<vgv5b4$1gh9b$2@dont-email.me>
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit
Injection-Date: Tue, 12 Nov 2024 11:23:47 -0000 (UTC)
Injection-Info: i2pn2.org;
	logging-data="2078167"; mail-complaints-to="usenet@i2pn2.org";
	posting-account="nS1KMHaUuWOnF/ukOJzx6Ssd8y16q9UPs1GZ+I3D0CM";
User-Agent: Pan/0.145 (Duplicitous mercenary valetism; d7e168a
 git.gnome.org/pan2)
X-Spam-Checker-Version: SpamAssassin 4.0.0
Bytes: 2774
Lines: 22

Am Tue, 12 Nov 2024 09:58:12 +0100 schrieb WM:
> On 11.11.2024 22:50, FromTheRafters wrote:
>> It happens that WM formulated :
> 
>>> For that claim you need an infinite set of claims.
>> Good thing we have such.
> No.
Yes, we do claim something for each, every one and all of the
infinite set of (finite) natural numbers.

>>>> This is one ?????:
>>>> ⎛ All fractions are in bijection with ⎝ all natural numbers.
>>> It is wrong.
>> You 'think' it is wrong because you intuitively think it 'should' be
>> wrong. Saying it is wrong does not make it wrong no matter how many
>> times that you say it.
> Therefore I prove it. The set of intervals I(n) = [n - 1/10, n + 1/10]
> cannot cover all fractions on the real axis.
It absolutely does, for all fractions n.

-- 
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.