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Path: ...!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: "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> Newsgroups: sci.math Subject: Re: The set of necessary FISONs Date: Sat, 25 Jan 2025 12:12:55 -0800 Organization: A noiseless patient Spider Lines: 20 Message-ID: <vn3gk7$31l2d$1@dont-email.me> References: <vmo1bs$1rnl$1@dont-email.me> <3a603a4009f4bdb24c23fc0851757c687e136bc8@i2pn2.org> <vmo4s0$22am$1@dont-email.me> <a80db53803dda35ea37db12428ecd4a6260a0ebe@i2pn2.org> <vmqhj1$v2rb$1@dont-email.me> <d3c698a395c33f2cc8568b613888ec4a3c27df4b@i2pn2.org> <vmr1e1$12dva$1@dont-email.me> <133ef773ac71037ba38a5d922f64822d8f0ef7a3@i2pn2.org> <vmvn82$25r19$2@dont-email.me> <06783956e11e3791285bfbee537ec1b4ae44100d@i2pn2.org> <vn2gq3$2ouuo$4@dont-email.me> <68035b84d5259f49968914e50a8a9c0269136e3e@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Sat, 25 Jan 2025 21:12:56 +0100 (CET) Injection-Info: dont-email.me; posting-host="635ba437aaf51caf1bc9969eec7ea59c"; logging-data="3200077"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX18FRgnJsdu6Xxrzb7j2VoR0Cmzfh6xEoAc=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:L7mx9NSp6CN0HZEOFThT8NLfz40= In-Reply-To: <68035b84d5259f49968914e50a8a9c0269136e3e@i2pn2.org> Content-Language: en-US Bytes: 2434 On 1/25/2025 5:59 AM, joes wrote: > Am Sat, 25 Jan 2025 12:09:56 +0100 schrieb WM: >> On 24.01.2025 13:29, Richard Damon wrote: >>> On 1/24/25 4:41 AM, WM wrote: >>>> On 23.01.2025 13:01, Richard Damon wrote: >>>> >>>>> But There is no single UF(n) that equals N, because you can ony get >>>>> there from the union of an infinite set of FISONs. >>>> The union of all FISONs does not cover ℕ. Otherwise Cantor's theorem >>>> would require the existence of a first necessary FISON. > Cantor’s theorem does not force a necessary FISON. We already established > that no finite set of FISONs suffices. > >>> you just need to take the union of an infinite number of them. >> FISONs enumerate themselves. There is no infinite FISON and hence no >> infinite number of them. > What the FUCK that makes NO sense. > WOW! Holy shit. wow.