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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, effectively) Date: Mon, 6 Jan 2025 18:42:45 +0100 Organization: A noiseless patient Spider Lines: 25 Message-ID: <vlh4ml$1nnkl$1@dont-email.me> References: <vg7cp8$9jka$1@dont-email.me> <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$1@dont-email.me> <a676a0802d5bdf15dd22a1f8cd5072893b6e1e33@i2pn2.org> <vldn14$vlah$2@dont-email.me> <171d790a8a99fa28e5b849e2726d1c9c0f93d932@i2pn2.org> <vlefcq$14esf$7@dont-email.me> <51593821cf96cef1e5f8c4d1cf692dc145064429@i2pn2.org> <vlenld$1686e$1@dont-email.me> <vlf1nu$17khf$11@dont-email.me> <vlf8k2$195g1$2@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Mon, 06 Jan 2025 18:42:45 +0100 (CET) Injection-Info: dont-email.me; posting-host="1858afcca4cf10199f24512bd9be19ae"; logging-data="1826453"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/d/cFsyDyzrqRWAAYung7a7c5FmicAv7A=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:WBO+0Fj4aSlGP4AtmflC7fAxlPw= In-Reply-To: <vlf8k2$195g1$2@dont-email.me> Content-Language: en-US Bytes: 2676 On 06.01.2025 01:37, Moebius wrote: >> On 1/5/2025 11:47 AM, WM wrote: >>>>>>> What should make the union larger than all FISONs? So it must appear to fools who cannot answer it. > A reasonable question might be: > > "What should make the union larger than each and every FISON?" > > That fact that the union of ALL FISONs "comprises" ALL natural numbers, > while each and every FISON only "comprises" finitely many numbers. That is not a fact but disproven nonsense. > >>>>>>> Every union of FISONs which stay below a certain threshold stays >>>>>>> below that threshold. > > Nope. What makes it larger? Regards, WM