Path: ...!news.misty.com!weretis.net!feeder9.news.weretis.net!news.quux.org!eternal-september.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: Thu, 2 Jan 2025 18:23:41 +0100 Organization: A noiseless patient Spider Lines: 17 Message-ID: References: <45a632ed-26cc-4730-a8dd-1e504d6df549@att.net> <3d2fe306aa299bc78e94c14dadd21645d8db9829@i2pn2.org> <2163aa0c0efba66c813e8ebda5ef5ece6d19ea34@i2pn2.org> <9387e323873e24f0a57b8daa49579d9a1c517563@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Thu, 02 Jan 2025 18:23:42 +0100 (CET) Injection-Info: dont-email.me; posting-host="a3e4916d82901f495981bca5b3dfcc34"; logging-data="3617113"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX18fXCxn6RF/c3riy14DJuiMMvaLqmfnOe0=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:ChwjARoDGJFIZzKhwk9KQN4MdOA= In-Reply-To: <9387e323873e24f0a57b8daa49579d9a1c517563@i2pn2.org> Content-Language: en-US Bytes: 2669 On 02.01.2025 14:25, Richard Damon wrote: > On 1/2/25 6:40 AM, WM wrote: >> Every union of FISONs including them all which stay below a certain >> threshold stays below that threshold. Every FISON stays below 1 % of ℕ. >> What can't you understand? > No, becuase "all which stay below a certain threshol" is not EVERY FISON. Which one is more than 1 % of ℵ₀? > When you actually take the union of ALL that infinite set of FISONs, you > will get the full infinite set of N. Stupid belief. Which FISON is more than 1 % of ℵ₀? Regards, WM