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Path: ...!news.misty.com!weretis.net!feeder9.news.weretis.net!i2pn.org!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) Date: Sat, 14 Dec 2024 11:00:04 -0000 (UTC) Organization: i2pn2 (i2pn.org) Message-ID: <dd8594509bb413ced8acf4cdbd1f9407c176cf98@i2pn2.org> References: <vg7cp8$9jka$1@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$1@dont-email.me> <vipb6l$qfig$1@dont-email.me> <viplj0$t1f8$1@dont-email.me> <5a122d22-2b21-4d65-9f5b-4f226eebf9d4@att.net> <viq3i2$105iq$1@dont-email.me> <e055ec41-a98d-4917-802f-169575a5b556@att.net> <virq3t$1gs07$1@dont-email.me> <c8faf784-348a-42e9-a784-b2337f4e8160@att.net> <3af23566-0dfc-4001-b19b-96e5d4110fee@tha.de> <9627c2aea5e3ebabd917ab0b9d1c7b241821d893@i2pn2.org> <vit62l$1rfas$1@dont-email.me> <b656288bb1d5bed80574cd066a1a7f06258e70bc@i2pn2.org> <vj2fv4$3b1no$2@dont-email.me> <cfe4e9fb6b3c7da70289d4a7a040f25b64ed8e94@i2pn2.org> <vj3tv7$3nktg$3@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Injection-Date: Sat, 14 Dec 2024 11:00:04 -0000 (UTC) Injection-Info: i2pn2.org; logging-data="2789670"; 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: 2498 Lines: 14 Am Sun, 08 Dec 2024 11:55:34 +0100 schrieb WM: > On 08.12.2024 11:43, joes wrote: >> Am Sat, 07 Dec 2024 22:50:27 +0100 schrieb WM: > >>> ∀n ∈ ℕ: E(1)∩E(2)∩...∩E(n) = E(n) >>> All n are infinitely many. >> That sentence only talks about a single n at a time, though, >> not about the infinite intersection. > It talks about all n and therefore about all E(n). No, it says nothing about the intersection of all E(n), only about finite intersections -- 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.