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Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: FromTheRafters <FTR@nomail.afraid.org> Newsgroups: sci.math Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary) Date: Wed, 04 Dec 2024 05:33:52 -0500 Organization: Peripheral Visions Lines: 15 Message-ID: <vipb6l$qfig$1@dont-email.me> References: <vg7cp8$9jka$1@dont-email.me> <vi56or$3j04f$1@dont-email.me> <4a810760-86a1-44bb-a191-28f70e0b361b@att.net> <vi6uc3$3v0dn$4@dont-email.me> <b2d7ee1f-33ab-44b6-ac90-558ac2f768a7@att.net> <vi7tnf$4oqa$1@dont-email.me> <23311c1a-1487-4ee4-a822-cd965bd024a0@att.net> <e9eb6455-ed0e-43f6-9a53-61aa3757d22d@tha.de> <71758f338eb239b7419418f49dfd8177c59d778b@i2pn2.org> <via83s$jk72$2@dont-email.me> <viag8h$lvep$1@dont-email.me> <viaj9q$l91n$1@dont-email.me> <vibvfo$10t7o$1@dont-email.me> <vic6m9$11mrq$4@dont-email.me> <vicbp2$1316h$1@dont-email.me> <vid4ts$1777k$2@dont-email.me> <vidcv3$18pdu$1@dont-email.me> <bdbc0e3d-1db2-4d6a-9f71-368d36d96b40@tha.de> <vier32$1madr$1@dont-email.me> <vierv5$1l1ot$2@dont-email.me> <viiqfd$2qq41$5@dont-email.me> <vik73d$3a9jm$1@dont-email.me> <vikg6c$3c4tu$1@dont-email.me> <9bcc128b-dea8-4397-9963-45c93d1c14c7@att.net> <vimvgd$3vv5r$9@dont-email.me> <50c82b03-8aa1-492c-9af3-4cf2673d6516@att.net> <vip5mo$p0da$1@dont-email.me> Reply-To: erratic.howard@gmail.com MIME-Version: 1.0 Content-Type: text/plain; charset="utf-8"; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Wed, 04 Dec 2024 11:33:58 +0100 (CET) Injection-Info: dont-email.me; posting-host="36d1760a1ed0cb3157bb9bb0b6985926"; logging-data="867920"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/jO6tVjuFT4tdVutdt7nCccAm7pAb1h0I=" Cancel-Lock: sha1:biE36nQ/WiTzmYDey6+hmK9gvXs= X-ICQ: 1701145376 X-Newsreader: MesNews/1.08.06.00-gb Bytes: 2392 WM formulated the question : > On 03.12.2024 21:34, Jim Burns wrote: >> On 12/3/2024 8:02 AM, WM wrote: > >>> E(1)∩E(2)∩...∩E(n) = E(n). >>> Sequences which are identical in every term >>> have identical limits. >> >> An empty intersection does not require >> an empty end.segment. > > A set of non-empty endsegments has a non-empty intersection. The reason is > inclusion-monotony. Conclusion not supported by facts.