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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: Fri, 15 Nov 2024 11:31:50 -0000 (UTC) Organization: i2pn2 (i2pn.org) Message-ID: <5b085f20fd9f5ec67026fb86f41654bb79e4868c@i2pn2.org> References: <vg7cp8$9jka$1@dont-email.me> <d79e791d-d670-4a5a-bd26-fdf72bcde6bc@att.net> <vgj4lk$2ova9$3@dont-email.me> <f154138e-4482-4267-9332-151e2fd9f1ba@att.net> <vgkoi7$b5pp$1@solani.org> <6d9f3b10-47ad-459c-9536-098ce91f514b@att.net> <vgni02$3osmc$1@dont-email.me> <16028da0-456b-47ad-8baa-7982a7cbdf10@att.net> <vgpupb$abrr$2@dont-email.me> <fc4df00f-96d1-402f-89d2-739cb8ddd863@att.net> <vgsg04$t7fk$1@dont-email.me> <1fca3a53-1cb4-4fd2-85b6-85e9b69ca23b@att.net> <vgtpmo$153hf$6@dont-email.me> <d17f7542-986e-4897-89b4-dccaf11d5311@att.net> <vh00jj$1m6co$1@dont-email.me> <97304048-24f5-4625-82a7-d17427f2f6e3@att.net> <vh0hta$1pmql$1@dont-email.me> <65febd06-662b-4fa4-9aa8-f7353a79a110@att.net> <vh2k9p$29cql$1@dont-email.me> <157a949d-6c19-4693-8cee-9e067268ae45@att.net> <vh35nd$2d81g$1@dont-email.me> <cb0c9917-09a9-45f0-8fe9-cd059fa82dde@att.net> <vh4itg$2o3vu$1@dont-email.me> <8165b44b-1ba5-429d-8317-0b043b214b53@att.net> <vh76bi$3bnde$1@dont-email.me> 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.