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 (extra-ordinary) Date: Sat, 14 Dec 2024 11:00:04 -0000 (UTC) Organization: i2pn2 (i2pn.org) Message-ID: References: <9bcc128b-dea8-4397-9963-45c93d1c14c7@att.net> <50c82b03-8aa1-492c-9af3-4cf2673d6516@att.net> <5a122d22-2b21-4d65-9f5b-4f226eebf9d4@att.net> <3af23566-0dfc-4001-b19b-96e5d4110fee@tha.de> <9627c2aea5e3ebabd917ab0b9d1c7b241821d893@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Injection-Date: Sat, 14 Dec 2024 11:00:04 -0000 (UTC) Injection-Info: i2pn2.org; logging-data="2789670"; 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: 2498 Lines: 14 Am Sun, 08 Dec 2024 11:55:34 +0100 schrieb WM: > On 08.12.2024 11:43, joes wrote: >> Am Sat, 07 Dec 2024 22:50:27 +0100 schrieb WM: > >>> ∀n ∈ ℕ: E(1)∩E(2)∩...∩E(n) = E(n) >>> All n are infinitely many. >> That sentence only talks about a single n at a time, though, >> not about the infinite intersection. > It talks about all n and therefore about all E(n). No, it says nothing about the intersection of all E(n), only about finite intersections -- 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.