Path: ...!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 (extra-ordinary) Date: Thu, 28 Nov 2024 17:36:23 -0000 (UTC) Organization: i2pn2 (i2pn.org) Message-ID: References: <96af151c-285d-4161-842a-63019cac9699@att.net> <09f8a86f-3f75-4af8-a190-0def76c1ab82@att.net> <68dc9b71-cf5d-4614-94e2-8a616e722a63@att.net> <67d9867b-2614-4475-975c-938bafca5c00@att.net> <4a810760-86a1-44bb-a191-28f70e0b361b@att.net> <23311c1a-1487-4ee4-a822-cd965bd024a0@att.net> <71758f338eb239b7419418f49dfd8177c59d778b@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Injection-Date: Thu, 28 Nov 2024 17:36:23 -0000 (UTC) Injection-Info: i2pn2.org; logging-data="286804"; 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: 2752 Lines: 20 Am Thu, 28 Nov 2024 18:09:16 +0100 schrieb WM: > On 28.11.2024 17:45, joes wrote: >> Am Thu, 28 Nov 2024 11:39:05 +0100 schrieb WM: > >>> A simpler arguments is this: All endsegments are in a decreasing >>> sequence. >> There is no decrease, they are all infinite. > Every endsegment has one number less than its predecessor. > That is called decrease. It is called a subset. It is still infinite >>> Before the decrease has reached finite endsegments, all are infinite >>> and share an infinite contents from E(1) = ℕ on. They have not yet had >>> the chance to reduce their infinite subset below infinity. >> All segments are infinite. Nothing can come "afterwards". > Then the intersection is never empty. No finite intersection anyway. -- 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.