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: Fri, 15 Nov 2024 11:31:50 -0000 (UTC) Organization: i2pn2 (i2pn.org) Message-ID: <5b085f20fd9f5ec67026fb86f41654bb79e4868c@i2pn2.org> References: <6d9f3b10-47ad-459c-9536-098ce91f514b@att.net> <16028da0-456b-47ad-8baa-7982a7cbdf10@att.net> <1fca3a53-1cb4-4fd2-85b6-85e9b69ca23b@att.net> <97304048-24f5-4625-82a7-d17427f2f6e3@att.net> <65febd06-662b-4fa4-9aa8-f7353a79a110@att.net> <157a949d-6c19-4693-8cee-9e067268ae45@att.net> <8165b44b-1ba5-429d-8317-0b043b214b53@att.net> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Injection-Date: Fri, 15 Nov 2024 11:31:50 -0000 (UTC) Injection-Info: i2pn2.org; logging-data="2563854"; 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: 2507 Lines: 12 Am Fri, 15 Nov 2024 11:04:33 +0100 schrieb WM: > It can be proven for every finite geometric figure that covering it by > small pieces or intervals does not depend on the individuality and > therefore on the order of the pieces. > That means if there is a configuration where the figure is not covered > completely, every possible shuffling will also fail. Duh. If some configuration doesn't cover it, shuffling the pieces changes nothing. But there may be other configurations that do cover the figure. -- 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.