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Failed to connect to MySQL: (1203) User howardkn already has more than 'max_user_connections' active connectionsPath: ...!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 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: References: <4bf8a77e-4b2a-471f-9075-0b063098153f@att.net> <31180d7e-1c2b-4e2b-b8d6-e3e62f05da43@att.net> <45a632ed-26cc-4730-a8dd-1e504d6df549@att.net> <3d2fe306aa299bc78e94c14dadd21645d8db9829@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: 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