Path: news.eternal-september.org!eternal-september.org!.POSTED!not-for-mail From: Moebius Newsgroups: sci.math Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary, effectively) Date: Sat, 4 Jan 2025 19:26:00 +0100 Organization: A noiseless patient Spider Lines: 37 Message-ID: References: <45a632ed-26cc-4730-a8dd-1e504d6df549@att.net> <3d2fe306aa299bc78e94c14dadd21645d8db9829@i2pn2.org> <2163aa0c0efba66c813e8ebda5ef5ece6d19ea34@i2pn2.org> <9387e323873e24f0a57b8daa49579d9a1c517563@i2pn2.org> <89598d353b5737d5cbfabd1cde31c797a212e13d@i2pn2.org> <7595ac4af886b0ab3c0f5fe6bcbcbce6103e78aa@i2pn2.org> Reply-To: invalid@example.invalid MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Sat, 04 Jan 2025 19:26:01 +0100 (CET) Injection-Info: dont-email.me; posting-host="0a8499f5dd11b0a7bb8fcf7459401dea"; logging-data="605776"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/bxcBCdaN5iGi690uCLC0U" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:/gjh9YatATo06/qJGqqjVJMr2pA= In-Reply-To: Content-Language: de-DE Am 03.01.2025 um 22:45 schrieb Chris M. Thomasson: > On 1/3/2025 6:50 AM, Richard Damon wrote: >> On 1/3/25 3:52 AM, WM wrote: >>> On 03.01.2025 02:52, Moebius wrote: >>> >>>> Nope. For each and every FISON F: F c_proper IN. >>>> >>>> But UNION(Set_of_FISONs) = IN. >>> >>> Every union of FISONs including them all which stay below a certain threshold stays below that threshold. >>> >>> Regards, WM I just mentioned a counterexample to your claim, you stupid idiot! Hint: | For each and every FISON F: F c_proper IN. But UNION(Set_of_FISONs) = IN. So the union of (the set of) _all_ FISONs does NOT "stay below" IN, though each and every FISON does. >> Which is different from *ALL* of them, which your logic can't do, and >> thus shows you are just a stupid idiot that just doesn't understand >> the infinite. > > Yet he teaches? wow. Maybe the patients in a psychiatric ward. .. .. ..