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Path: ...!feeder3.eternal-september.org!news.eternal-september.org!eternal-september.org!.POSTED!not-for-mail From: WM <wolfgang.mueckenheim@tha.de> Newsgroups: sci.math Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary, effectively) Date: Sun, 29 Dec 2024 18:53:18 +0100 Organization: A noiseless patient Spider Lines: 19 Message-ID: <vks2ae$13p6j$1@dont-email.me> References: <vg7cp8$9jka$1@dont-email.me> <7356267c-491b-45c2-b86a-d40c45dfa40c@att.net> <vjufr6$29khr$3@dont-email.me> <4bf8a77e-4b2a-471f-9075-0b063098153f@att.net> <vjv6uv$2dra0$1@dont-email.me> <31180d7e-1c2b-4e2b-b8d6-e3e62f05da43@att.net> <vk1brk$2srss$7@dont-email.me> <bb80c6c5-04c0-4e2d-bb21-ac51aab9e252@att.net> <vk23m7$31l8v$1@dont-email.me> <bce1b27d-170c-4385-8938-36805c983c49@att.net> <vk693m$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$1@dont-email.me> <c03cf79d-0572-4b19-ad92-a0d12df53db9@att.net> <n9CdnR02SsevtPL6nZ2dnZfqnPidnZ2d@giganews.com> <45a632ed-26cc-4730-a8dd-1e504d6df549@att.net> <vkpa98$dofu$2@dont-email.me> <15f183ae29abb8c09c0915ee3c8355634636da31@i2pn2.org> <vkra77$tpqs$1@dont-email.me> <c952199b5513be28bb1f5c8b374a2d7a77470743@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Sun, 29 Dec 2024 18:53:18 +0100 (CET) Injection-Info: dont-email.me; posting-host="2bdd8289678d0293abd2ca3e7b98ed0b"; logging-data="1172691"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX19FVMwbjUNY4CM1tqmHwSRySfIdCPyMgsk=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:85FZRuV3dFDl4L7tp9kQbAIvcX0= Content-Language: en-US In-Reply-To: <c952199b5513be28bb1f5c8b374a2d7a77470743@i2pn2.org> Bytes: 2495 On 29.12.2024 13:34, Richard Damon wrote: > On 12/29/24 6:01 AM, WM wrote: >> >> All definable numbers (FISONs) stay below 1 %. Every union of "below 1 >> %" stays below 1 %. > > Since 0 is Less than 1, you are sort of correct, but that fact doesn't > prove your claim. > > The problem is that when you get to *ALL* I get to all FISONs below a certain threshold, namely a threshold between which and ω there exist ℵ₀ natnumbers. Regards, WM