Path: ...!news.misty.com!weretis.net!feeder9.news.weretis.net!i2pn.org!i2pn2.org!.POSTED!not-for-mail From: joes 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: <539edbdf516d69a3f1207687b802be7a86bd3b48@i2pn2.org> 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.