Path: ...!weretis.net!feeder9.news.weretis.net!news.nk.ca!rocksolid2!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: Mon, 2 Dec 2024 19:06:44 -0000 (UTC) Organization: i2pn2 (i2pn.org) Message-ID: <9eaeab963bd5f3825f745c8990c9901a690f9eba@i2pn2.org> References: <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: Mon, 2 Dec 2024 19:06:44 -0000 (UTC) Injection-Info: i2pn2.org; logging-data="948213"; 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: 2657 Lines: 18 Am Mon, 02 Dec 2024 17:51:22 +0100 schrieb WM: > On 02.12.2024 16:46, FromTheRafters wrote: >> WM wrote : > >>> E(1), E(2), E(3), ... >>> and E(1), E(1)∩E(2), E(1)∩E(2)∩E(3), ... >>> are identical for every n and in the limit because E(1)∩E(2)∩...∩E(n) >>> = E(n). >> Non sequitur. That which is true for finite sequences is not >> necessarily true for infinite sequences. > As easily can be obtaied from the above it is necessarily true that up > to every term and therefore also in the limit the sequences of > endsegments and of intersections are identical. Every contrary opinion > is matheology, outside of mathematics. What is the limit? -- 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.