Path: ...!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: Tue, 7 Jan 2025 11:31:25 +0100
Organization: A noiseless patient Spider
Lines: 19
Message-ID: <vlivps$256n8$2@dont-email.me>
References: <vg7cp8$9jka$1@dont-email.me>
 <b125beff-cb76-4e5a-b8b8-e4c57ff468e9@att.net> <vkr8j0$t59a$1@dont-email.me>
 <98519289-0542-40ce-886e-b50b401ef8cf@att.net> <vksicn$16oaq$7@dont-email.me>
 <8e95dfce-05e7-4d31-b8f0-43bede36dc9b@att.net> <vl1ckt$2b4hr$1@dont-email.me>
 <53d93728-3442-4198-be92-5c9abe8a0a72@att.net> <vl5tds$39tut$1@dont-email.me>
 <9c18a839-9ab4-4778-84f2-481c77444254@att.net> <vl87n4$3qnct$1@dont-email.me>
 <6db7afa9-f1e1-4d2b-beba-a5fc7a8b8686@att.net> <vl952v$3vk28$1@dont-email.me>
 <e97ca358-cc9c-4f6f-a93b-3459821fc4aa@att.net> <vl9ev9$1u2d$1@dont-email.me>
 <53806d5c-f456-4c13-8506-24c0b9ab310e@att.net> <vlas93$cr0l$1@dont-email.me>
 <931a709f-7dc7-46ed-a1a2-d0e1b60fc542@att.net> <vldp55$vlah$5@dont-email.me>
 <0c4df4ba-a731-46ce-b2ef-80a497cf58eb@att.net> <vlh45n$1mcph$3@dont-email.me>
 <vlh73o$1oaah$1@dont-email.me> <vlhbn2$1p52c$1@dont-email.me>
 <vlhj98$1qnj9$1@dont-email.me> <vliqej$24c50$1@dont-email.me>
 <vliteg$2554a$1@dont-email.me>
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8; format=flowed
Content-Transfer-Encoding: 8bit
Injection-Date: Tue, 07 Jan 2025 11:31:25 +0100 (CET)
Injection-Info: dont-email.me; posting-host="ae605ac3e7bf74a89532ac4e88c94750";
	logging-data="2267880"; mail-complaints-to="abuse@eternal-september.org";	posting-account="U2FsdGVkX1/Qy9OUgtvToJlIBRif5gCkIkCS4fQtVHY="
User-Agent: Mozilla Thunderbird
Cancel-Lock: sha1:d9ZgpBzHkV8y2cvIkUthWcasJJA=
Content-Language: en-US
In-Reply-To: <vliteg$2554a$1@dont-email.me>
Bytes: 2685

On 07.01.2025 10:51, FromTheRafters wrote:

> First several von Neumann ordinals

v. Neumann was bright but not bright enough.
Why should we use the nomenclature of his disproven theory?
> 
> 0     =     {}     =     ∅
> 1     =     {0}     =     {∅}
> 2     =     {0,1}     =     {∅,{∅}}
> 3     =     {0,1,2}     =     {∅,{∅},{∅,{∅}}}
> 4     =     {0,1,2,3}     =     {∅,{∅},{∅,{∅}},{∅,{∅},{∅,{∅}}}}
> =====================================
> 
> Notice they start at zero (emptyset)

It would be more important to reach the full set.

Regards, WM