Path: ...!eternal-september.org!feeder3.eternal-september.org!news.quux.org!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: Wed, 8 Jan 2025 23:42:24 -0000 (UTC) Organization: i2pn2 (i2pn.org) Message-ID: References: <98519289-0542-40ce-886e-b50b401ef8cf@att.net> <8e95dfce-05e7-4d31-b8f0-43bede36dc9b@att.net> <53d93728-3442-4198-be92-5c9abe8a0a72@att.net> <9c18a839-9ab4-4778-84f2-481c77444254@att.net> <8ef20494f573dc131234363177017bf9d6b647ee@i2pn2.org> <66868399-5c4b-4816-9a0c-369aaa824553@att.net> <412770ca-7386-403f-b7c2-61f671d8a667@att.net> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Injection-Date: Wed, 8 Jan 2025 23:42:24 -0000 (UTC) Injection-Info: i2pn2.org; logging-data="2685577"; 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: 2441 Lines: 13 Am Wed, 08 Jan 2025 15:35:44 +0100 schrieb WM: > On 08.01.2025 12:04, FromTheRafters wrote: >> WM formulated on Wednesday : > >>> If ω exists, then ω-1 exists. >> Wrong. > A set like ℕ has a fixed number of elements. If ω-1 does not exist, what > is the fixed border of existence? It has an infinite number of elements, and that number happens to be invariant under finite subtraction/addition. -- 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.