Path: ...!eternal-september.org!feeder3.eternal-september.org!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
 (extra-ordinary)
Date: Thu, 26 Dec 2024 19:59:20 -0000 (UTC)
Organization: i2pn2 (i2pn.org)
Message-ID: <79d929f4202a241e1a931990cd6c35b7dbbf6e39@i2pn2.org>
References: <vg7cp8$9jka$1@dont-email.me> <vj9s4i$11a3p$1@dont-email.me>
	<vjam6d$1700v$1@dont-email.me> <vjc65g$1i9vk$3@dont-email.me>
	<vjf7kl$2s7e5$1@dont-email.me> <vjfmq3$2upa9$3@dont-email.me>
	<c6b624cb0b1b55d54aab969ee5b4e283ec7be3cd@i2pn2.org>
	<vjhp8b$3gjbv$1@dont-email.me>
	<dc9e7638be92c4d158f238f8c042c8559cd46521@i2pn2.org>
	<vjjg6p$3tvsg$1@dont-email.me>
	<c31edc62508876748c8cf69f93ab80c0a7fd84ac@i2pn2.org>
	<vjka3b$1tms$3@dont-email.me>
	<e11a34c507a23732d83e3d0fcde7b609cdaf3ade@i2pn2.org>
	<vjmse3$k2go$2@dont-email.me>
	<069069bf23698c157ddfd9b62b9b2f632b484c40@i2pn2.org>
	<vjooeq$11n0g$2@dont-email.me>
	<2d3620a6e2a8a57d9db7a33c9d476fe03cac455b@i2pn2.org>
	<vjrfcc$1m1b2$1@dont-email.me>
	<3c08ed64fa6193dc9ab6733b807a5c99a49810aa@i2pn2.org>
	<vjss56$1tr00$2@dont-email.me>
	<357a8740434fb6f1b847130ac3afbd33c850fc37@i2pn2.org>
	<vjv6fb$2dujf$2@dont-email.me>
	<87351ff85f6c8b1c6c56e8a023f1301298af93e7@i2pn2.org>
	<vk1b63$2srss$6@dont-email.me>
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit
Injection-Date: Thu, 26 Dec 2024 19:59:20 -0000 (UTC)
Injection-Info: i2pn2.org;
	logging-data="582743"; 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: 3173
Lines: 26

Am Thu, 19 Dec 2024 15:38:59 +0100 schrieb WM:
> On 18.12.2024 21:15, joes wrote:
>> Am Wed, 18 Dec 2024 20:06:19 +0100 schrieb WM:
>>> On 18.12.2024 13:29, Richard Damon wrote:
>>>> On 12/17/24 4:57 PM, WM wrote:
>>>
>>>>> You claimed that he uses more than I do, namely all natural numbers.
>>>> Right, you never use ALL the natural numbers, only a finite subset of
>>>> them.
>>> Please give the quote from which you obtain a difference between "The
>>> infinite sequence thus defined has the peculiar property to contain
>>> the positive rational numbers completely, and each of them only once
>>> at a determined place." [G. Cantor, letter to R. Lipschitz (19 Nov
>>> 1883)] and my "the infinite sequence f(n) = [1, n] contains all
>>> natural numbers n completely, and each of them only once at a
>>> determined place."
>> You deny the limit.
>> 
> When dealing with Cantor's mappings between infinite sets, it is argued
> usually that these mappings require a "limit" to be completed or that
> they cannot be completed. Such arguing has to be rejected flatly. For
> this reason some of Cantor's statements are quoted below.
Cantor doesn’t have a limit.

-- 
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.