Path: ...!weretis.net!feeder9.news.weretis.net!news.quux.org!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!eternal-september.org!.POSTED!not-for-mail
From: WM <wolfgang.mueckenheim@tha.de>
Newsgroups: sci.math
Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers
 (extra-ordinary)
Date: Mon, 20 Jan 2025 18:18:01 +0100
Organization: A noiseless patient Spider
Lines: 18
Message-ID: <vmm0ga$39kjl$2@dont-email.me>
References: <vg7cp8$9jka$1@dont-email.me>
 <d6ed4797-65e8-4004-853c-f07a37af0c11@att.net> <vls4j6$7v2k$3@dont-email.me>
 <494bfd3b-3c70-4d8d-9c70-ce917c15fc22@att.net> <vm0okb$16cq0$2@dont-email.me>
 <bff18686-503a-4b7b-9406-b47796f68b47@att.net> <vm15pj$18v7t$1@dont-email.me>
 <72142d82-0d71-460a-a1be-cadadf78c048@att.net> <vm3hrs$1s9ld$2@dont-email.me>
 <812e64b1-c85c-48ac-a58c-e8955bc02f8c@att.net> <vm59g4$2b5ib$1@dont-email.me>
 <22b74adc-bf38-4aa4-a44f-622f0a2a5c41@att.net> <vm8u36$31v8s$5@dont-email.me>
 <77a1069f5c5b8f95927ed9a33ecc6374c9d0a2dd@i2pn2.org>
 <vmb821$3i6nm$1@dont-email.me>
 <da8e83072697acf06f9ca2b2946d7b9ccfcbcaac@i2pn2.org>
 <20e517f6-d709-46fd-83f8-04c6b4fe9f59@tha.de>
 <4679319ea238a03fb042ae0c4de078c1a310c8a5@i2pn2.org>
 <vmejlt$845r$1@dont-email.me>
 <21586c471d7da511d9a2bc75fb13ee29f30e4e66@i2pn2.org>
 <vmil8m$252qj$2@dont-email.me>
 <f93aa4ee481c73918867d4cfc78229461805770a@i2pn2.org>
 <vmlghd$34j33$2@dont-email.me> <vmlmos$36pcp$1@dont-email.me>
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8; format=flowed
Content-Transfer-Encoding: 8bit
Injection-Date: Mon, 20 Jan 2025 18:18:02 +0100 (CET)
Injection-Info: dont-email.me; posting-host="ad3059a076be5126998b2dbdaa149b09";
	logging-data="3461749"; mail-complaints-to="abuse@eternal-september.org";	posting-account="U2FsdGVkX1+MNZAgApaV5Zy40hyQ2XFWfUG24khge4Q="
User-Agent: Mozilla Thunderbird
Cancel-Lock: sha1:aH+GthLd9aa8KqFt+wNhM3ii6Qk=
In-Reply-To: <vmlmos$36pcp$1@dont-email.me>
Content-Language: en-US
Bytes: 2653

On 20.01.2025 15:31, FromTheRafters wrote:
> It happens that WM formulated :
>> On 19.01.2025 16:10, joes wrote:
>>> Am Sun, 19 Jan 2025 11:47:50 +0100 schrieb WM:
>>
>>>> They contain only natnumbers which have ℵ₀ successors.
>>> There are no naturals with a finite number of successors, otherwise
>>> you could count backwards from the end.
>>
>> That is possible: ω-1, ω-2, ω-3, ...
> 
> Wrong, omega has no immediate predecessor.

You cannot see the whole sequence from 1 to ω-1. But there are more 
things in heaven and earth than you can see.

Regards, WM