Path: ...!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, effectively)
Date: Tue, 31 Dec 2024 19:08:38 +0100
Organization: A noiseless patient Spider
Lines: 13
Message-ID: <vl1bv6$2bcos$3@dont-email.me>
References: <vg7cp8$9jka$1@dont-email.me>
 <31180d7e-1c2b-4e2b-b8d6-e3e62f05da43@att.net> <vk1brk$2srss$7@dont-email.me>
 <bb80c6c5-04c0-4e2d-bb21-ac51aab9e252@att.net> <vk23m7$31l8v$1@dont-email.me>
 <bce1b27d-170c-4385-8938-36805c983c49@att.net> <vk693m$f52$2@dont-email.me>
 <a17eb8b6-7d11-4c59-b98c-b4d5de8358ca@att.net> <vk7dmb$7mh2$2@dont-email.me>
 <b72490c1-e61a-4c23-a3a5-f624b2c084e4@att.net> <vk8tbq$j9h1$1@dont-email.me>
 <bd7dfdc7-6471-4fe6-b078-0ca739031580@att.net> <vklumc$3htmt$1@dont-email.me>
 <c03cf79d-0572-4b19-ad92-a0d12df53db9@att.net>
 <n9CdnR02SsevtPL6nZ2dnZfqnPidnZ2d@giganews.com>
 <45a632ed-26cc-4730-a8dd-1e504d6df549@att.net> <vkpa98$dofu$2@dont-email.me>
 <3d2fe306aa299bc78e94c14dadd21645d8db9829@i2pn2.org>
 <vkr8sq$t59a$2@dont-email.me>
 <d4669f26483b01c8a43dfd3ac4b61ab4a42bf551@i2pn2.org>
 <vksikk$17fjt$1@dont-email.me>
 <cc282ee24e9d14c44b6da1d78bb2c3b83b54f4d0@i2pn2.org>
 <vkv48u$1qb93$3@dont-email.me>
 <aa3d67eefc7e0d9ad9eec10a17641a284a64f149@i2pn2.org>
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8; format=flowed
Content-Transfer-Encoding: 7bit
Injection-Date: Tue, 31 Dec 2024 19:08:38 +0100 (CET)
Injection-Info: dont-email.me; posting-host="f381e8cbf6f8cad106a41c0e6b63673a";
	logging-data="2470684"; mail-complaints-to="abuse@eternal-september.org";	posting-account="U2FsdGVkX1/53BbWllL05ejs5xg5NdbqKOavL+MwCtw="
User-Agent: Mozilla Thunderbird
Cancel-Lock: sha1:kp8LId/XEhkF6WRbji4zDt8FYtU=
In-Reply-To: <aa3d67eefc7e0d9ad9eec10a17641a284a64f149@i2pn2.org>
Content-Language: en-US
Bytes: 2477

On 31.12.2024 16:39, Richard Damon wrote:

> All you have proved is that any finite set has a maximum value, while 
> the INFINITE set of Natural Numbers (or FISONs) do not, and thus your 
> logic can't talk about "all".

The set of natural numbers in FISONs is finite because it is the union 
of FISONs.
Every union of FISONs which stay below a certain threshold stays below 
that threshold. Every FISON is finite.

Regards, WM