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Path: ...!weretis.net!feeder9.news.weretis.net!news.quux.org!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: Mon, 30 Dec 2024 22:45:02 +0100 Organization: A noiseless patient Spider Lines: 14 Message-ID: <vkv48u$1qb93$3@dont-email.me> References: <vg7cp8$9jka$1@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$2@dont-email.me> <3d2fe306aa299bc78e94c14dadd21645d8db9829@i2pn2.org> <vkr8sq$t59a$2@dont-email.me> <d4669f26483b01c8a43dfd3ac4b61ab4a42bf551@i2pn2.org> <vksikk$17fjt$1@dont-email.me> <cc282ee24e9d14c44b6da1d78bb2c3b83b54f4d0@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Mon, 30 Dec 2024 22:45:03 +0100 (CET) Injection-Info: dont-email.me; posting-host="44856cf207bdd54d351cfc9e4868dc63"; logging-data="1912099"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX18w02feSs2yaUeFy6mE3GZRhttExq12iMM=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:QIhzAPsfTw9KH+1Jul/Bv+4YiM4= In-Reply-To: <cc282ee24e9d14c44b6da1d78bb2c3b83b54f4d0@i2pn2.org> Content-Language: en-US Bytes: 2559 On 30.12.2024 21:10, joes wrote: > Am Sun, 29 Dec 2024 23:31:46 +0100 schrieb WM: >> My theorem: Every union of FISONs which stay below a certain threshold >> stays below that threshold. > Groundbreaking. And proven. My threshold is not a fixed number but a potentially infinite set which never grows to more than 1 % of ℕ. Proof: Every FISON that is multiplied by 100 remains a FISON that can be multiplied by 100 without changing this property. Regards, WM