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Path: ...!eternal-september.org!feeder3.eternal-september.org!news.quux.org!news.nk.ca!rocksolid2!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 (extra-ordinary) Date: Wed, 8 Jan 2025 23:42:24 -0000 (UTC) Organization: i2pn2 (i2pn.org) Message-ID: <d1e9fb6482f30e8a4cde3db97587932cef7cb198@i2pn2.org> References: <vg7cp8$9jka$1@dont-email.me> <vkp0fv$b7ki$2@dont-email.me> <b125beff-cb76-4e5a-b8b8-e4c57ff468e9@att.net> <vkr8j0$t59a$1@dont-email.me> <98519289-0542-40ce-886e-b50b401ef8cf@att.net> <vksicn$16oaq$7@dont-email.me> <8e95dfce-05e7-4d31-b8f0-43bede36dc9b@att.net> <vl1ckt$2b4hr$1@dont-email.me> <53d93728-3442-4198-be92-5c9abe8a0a72@att.net> <vl5tds$39tut$1@dont-email.me> <9c18a839-9ab4-4778-84f2-481c77444254@att.net> <vl87n4$3qnct$1@dont-email.me> <8ef20494f573dc131234363177017bf9d6b647ee@i2pn2.org> <vl95ks$3vk27$2@dont-email.me> <vl9ldf$3796$1@dont-email.me> <vlaskd$cr0l$2@dont-email.me> <vlc68u$k8so$1@dont-email.me> <vldpj7$vlah$7@dont-email.me> <a8b010b748782966268688a38b58fe1a9b4cc087@i2pn2.org> <vlei6e$14nve$1@dont-email.me> <66868399-5c4b-4816-9a0c-369aaa824553@att.net> <vlir7p$24c51$1@dont-email.me> <412770ca-7386-403f-b7c2-61f671d8a667@att.net> <vllg47$2n0uj$3@dont-email.me> <vllm44$2oeeq$1@dont-email.me> <vlm2fv$2qk9u$2@dont-email.me> 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.