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Path: ...!weretis.net!feeder9.news.weretis.net!i2pn.org!rocksolid2!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, effectively) Date: Sat, 4 Jan 2025 10:59:47 -0000 (UTC) Organization: i2pn2 (i2pn.org) Message-ID: <a676a0802d5bdf15dd22a1f8cd5072893b6e1e33@i2pn2.org> 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$5@dont-email.me> <9a25e92033e0a4d24e9c27df0de95d8b033d0862@i2pn2.org> <vlasro$cr0k$1@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Injection-Date: Sat, 4 Jan 2025 10:59:47 -0000 (UTC) Injection-Info: i2pn2.org; logging-data="1957094"; 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: 2455 Lines: 13 Am Sat, 04 Jan 2025 09:52:08 +0100 schrieb WM: > 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. But not for the union. -- 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.