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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 Date: Sun, 15 Dec 2024 20:35:48 -0000 (UTC) Organization: i2pn2 (i2pn.org) Message-ID: <852f35e61c9f82a8f3191449358705068e71f617@i2pn2.org> References: <vg7cp8$9jka$1@dont-email.me> <vg7vgh$csek$1@dont-email.me> <vg8911$dvd6$1@dont-email.me> <vjgvpc$3bb3f$1@dont-email.me> <vjh28r$3b6vi$4@dont-email.me> <vjjfmj$3tuuh$1@dont-email.me> <vjjgds$3tvsg$2@dont-email.me> <539edbdf516d69a3f1207687b802be7a86bd3b48@i2pn2.org> <vjk97t$1tms$1@dont-email.me> <c9e28c8c52f4885d550cd9c4083d9cf19331e572@i2pn2.org> <vjku0v$5rcl$2@dont-email.me> <vjmcb9$hl7j$3@dont-email.me> <vjmdic$hn65$4@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Injection-Date: Sun, 15 Dec 2024 20:35:48 -0000 (UTC) Injection-Info: i2pn2.org; logging-data="3027156"; 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: 2009 Lines: 15 Am Sun, 15 Dec 2024 12:12:13 +0100 schrieb WM: > On 15.12.2024 11:51, Mikko wrote: >> On 2024-12-14 21:40:48 +0000, WM said: >> >>> In a geometry where all points exist, all points can be passed. >> Yes but none of them can be passed before passing other points. > That contradicts the actual existence of all. On the contrary. The density of the points prevents passing them. > When other points are passed, the former has been passed before. > Otherwise it would not be the former. When. This goes for all points, so none can actually be passed. -- 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.