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Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: Moebius <invalid@example.invalid> Newsgroups: sci.math Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary) Date: Fri, 6 Dec 2024 07:59:18 +0100 Organization: A noiseless patient Spider Lines: 24 Message-ID: <viu7c7$26h5g$1@dont-email.me> References: <vg7cp8$9jka$1@dont-email.me> <vier32$1madr$1@dont-email.me> <vierv5$1l1ot$2@dont-email.me> <viiqfd$2qq41$5@dont-email.me> <vijhrd$34mp8$1@dont-email.me> <vilh59$3k21l$5@dont-email.me> <vilheq$3ks01$3@dont-email.me> <vilhjk$3k21l$9@dont-email.me> <vilhk8$3ks01$4@dont-email.me> <vilhnl$3k21l$10@dont-email.me> <viljdo$3k21l$12@dont-email.me> <87frn50zjp.fsf@bsb.me.uk> <vinuvc$cdlu$1@dont-email.me> <vinvvu$c7p5$6@dont-email.me> <vio0u4$c7p5$8@dont-email.me> <vio8rj$ei97$5@dont-email.me> <vio9nu$f13q$1@dont-email.me> <vip1f1$npsr$2@dont-email.me> <vipaue$qd3r$1@dont-email.me> <87y10vzo35.fsf@bsb.me.uk> <vipf6v$qr8p$2@dont-email.me> <87ser3zgez.fsf@bsb.me.uk> <viqca6$12cut$2@dont-email.me> <virpnj$1g4uq$1@dont-email.me> <ff5ee533dd180eb24978c76e7e00ba6f4676d51a@i2pn2.org> <vis3iq$1iu5p$1@dont-email.me> <visafv$1kq6a$1@dont-email.me> <vitgfu$1u0mg$2@dont-email.me> Reply-To: invalid@example.invalid MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Fri, 06 Dec 2024 07:59:20 +0100 (CET) Injection-Info: dont-email.me; posting-host="264de29ac4942d9c683be6cd16be928f"; logging-data="2311344"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX19Em8TOCo8Fo8XxPGq7UMyF" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:5GHIJO+bCZPvWqGAD/YL0Z8OlQk= In-Reply-To: <vitgfu$1u0mg$2@dont-email.me> Content-Language: de-DE Bytes: 2969 Am 06.12.2024 um 01:28 schrieb Chris M. Thomasson: > On 12/5/2024 5:40 AM, FromTheRafters wrote: >> WM used his keyboard to write : >>> On 05.12.2024 11:53, joes wrote: >>>> Am Thu, 05 Dec 2024 09:54:11 +0100 schrieb WM: >>>>> On 04.12.2024 20:59, Chris M. Thomasson wrote: >>>>> >>>>>> Not sure why WM thinks that Cantor Pairing does not work with any >>>>>> natural number... I think I am not misunderstanding WM here. >>>>> Take any natnumber you can. Almost all natnumbers are following. >>>>> Infinitely many of them cannot be "taken" or "given" and cannot be >>>>> proven to be in any mapping. But Cantor claims that all without any >>>>> exception can be taken. >>>> Yes, of course they can? Why shouldn't they? What does it mean to you? >>>> >>> All means all with no exception. But every number you can take >>> belongs to a vanishing subset of ℕ. >> >> What do you mean by vanishing? "vanishingly small" in comparison to the (infinite) rest. > Perhaps his brain in a toilet after a couple of flushes? Ugggh...