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Path: ...!weretis.net!feeder9.news.weretis.net!i2pn.org!i2pn2.org!.POSTED!not-for-mail From: Richard Damon <richard@damon-family.org> Newsgroups: sci.math Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary) Date: Thu, 9 Jan 2025 07:18:25 -0500 Organization: i2pn2 (i2pn.org) Message-ID: <a0aff8d9ca313d39093282bca3d2d2505092e153@i2pn2.org> References: <vg7cp8$9jka$1@dont-email.me> <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> <59af1502-0bc9-4266-b556-6164edb6a8d4@att.net> <vlmscv$2vgqf$1@dont-email.me> <9a22a29bfd5af29db5bad5f3cae537665b8dafd7@i2pn2.org> <vlochd$3akpm$2@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Thu, 9 Jan 2025 12:18:26 -0000 (UTC) Injection-Info: i2pn2.org; logging-data="2766867"; mail-complaints-to="usenet@i2pn2.org"; posting-account="diqKR1lalukngNWEqoq9/uFtbkm5U+w3w6FQ0yesrXg"; User-Agent: Mozilla Thunderbird In-Reply-To: <vlochd$3akpm$2@dont-email.me> X-Spam-Checker-Version: SpamAssassin 4.0.0 Content-Language: en-US Bytes: 2585 Lines: 17 On 1/9/25 6:39 AM, WM wrote: > On 09.01.2025 01:07, joes wrote: >> Am Wed, 08 Jan 2025 22:57:52 +0100 schrieb WM: > >>> The rule is for n there is n+1. But the successor is not created but >>> does exist. How far do successors reach? Why do they not reach to ω-1? >>> Where do they cease before? >> They don't cease. They simply aren't in the same league, if you will. > > Cantor will. Every set of numbers of the first and second number class > has a smallest element. Hence they all are on the ordinal line. > > Regards, WM > Which doesn't prove your claim, becuase you logic is invalid. You brain is just incapable of handling the needed concepts.