Deutsch English Français Italiano |
<a8b010b748782966268688a38b58fe1a9b4cc087@i2pn2.org> View for Bookmarking (what is this?) Look up another Usenet article |
Path: ...!news.misty.com!weretis.net!feeder9.news.weretis.net!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: Sun, 5 Jan 2025 18:03:03 -0000 (UTC) Organization: i2pn2 (i2pn.org) Message-ID: <a8b010b748782966268688a38b58fe1a9b4cc087@i2pn2.org> References: <vg7cp8$9jka$1@dont-email.me> <vk693m$f52$2@dont-email.me> <a17eb8b6-7d11-4c59-b98c-b4d5de8358ca@att.net> <vk7dmb$7mh2$2@dont-email.me> <b72490c1-e61a-4c23-a3a5-f624b2c084e4@att.net> <vk8tbq$j9h1$1@dont-email.me> <bd7dfdc7-6471-4fe6-b078-0ca739031580@att.net> <vklumc$3htmt$1@dont-email.me> <c03cf79d-0572-4b19-ad92-a0d12df53db9@att.net> <vkp0fv$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> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Injection-Date: Sun, 5 Jan 2025 18:03:03 -0000 (UTC) Injection-Info: i2pn2.org; logging-data="2119836"; 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: 2536 Lines: 13 Am Sun, 05 Jan 2025 12:14:47 +0100 schrieb WM: > On 04.01.2025 21:38, Chris M. Thomasson wrote: > >> For me, there are infinitely many natural numbers, period... Do you >> totally disagree? > No. There are actually infinitely many natural numbers. All can be > removed from ℕ, but only collectively ℕ \ {1, 2, 3, ...} = { }. > It is impossible to remove the numbers individually ∀n ∈ ℕ_def: |ℕ \ {1, > 2, 3, ..., n}| = ℵo. Well yes, the size of N is itself not a natural number. Big surprise. -- 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.