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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, effectively) Date: Sat, 4 Jan 2025 09:52:08 +0100 Organization: A noiseless patient Spider Lines: 14 Message-ID: <vlasro$cr0k$1@dont-email.me> References: <vg7cp8$9jka$1@dont-email.me> <n9CdnR02SsevtPL6nZ2dnZfqnPidnZ2d@giganews.com> <45a632ed-26cc-4730-a8dd-1e504d6df549@att.net> <vkpa98$dofu$2@dont-email.me> <3d2fe306aa299bc78e94c14dadd21645d8db9829@i2pn2.org> <vkr8sq$t59a$2@dont-email.me> <d4669f26483b01c8a43dfd3ac4b61ab4a42bf551@i2pn2.org> <vksikk$17fjt$1@dont-email.me> <aa2941e93e806f1dda55d563dd062db67eb879f1@i2pn2.org> <vktmi3$1ia1u$1@dont-email.me> <c46775b30460bc564b3fe7bd1b838713829024f8@i2pn2.org> <vkv3t1$1qb93$1@dont-email.me> <2163aa0c0efba66c813e8ebda5ef5ece6d19ea34@i2pn2.org> <vl1bp4$2bcos$2@dont-email.me> <4d797c9134ea480aa4976cf866cacaede8d309bd@i2pn2.org> <vl5uid$3au1p$1@dont-email.me> <vl650i$3c2ia$1@dont-email.me> <vl6il4$3ecap$5@dont-email.me> <1e8ebc58a12fd659e38d0b9f0ff6fc0194f933be@i2pn2.org> <vl88v4$3qtjc$5@dont-email.me> <ecf6965f78c9152b3fff0d3b18d7df0247100acf@i2pn2.org> <vl9605$3vk27$5@dont-email.me> <9a25e92033e0a4d24e9c27df0de95d8b033d0862@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Sat, 04 Jan 2025 09:52:08 +0100 (CET) Injection-Info: dont-email.me; posting-host="5e5fed19649505844f9d2735c71191f8"; logging-data="420884"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX18Lauvewv/zkVRE7DliPQ5LsUoV4Bs90vk=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:PaetKJ8JoLYOXBg3JehT7w7/caE= In-Reply-To: <9a25e92033e0a4d24e9c27df0de95d8b033d0862@i2pn2.org> Content-Language: en-US Bytes: 2485 On 04.01.2025 05:06, Richard Damon wrote: > On 1/3/25 12:15 PM, WM wrote: >> Every union of FISONs which stay below a certain threshold stays below >> that threshold. > > Every union of a finite number of FISONs is just an admssion that you > can't do the actual union of *ALL* FISONs. For all FISONs:|ℕ \ {1, 2, 3, ..., n}| = ℵo. That means there is no exception. Regards, WM