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Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: WM <wolfgang.mueckenheim@tha.de> Newsgroups: sci.math Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary) Date: Thu, 5 Dec 2024 09:54:11 +0100 Organization: A noiseless patient Spider Lines: 11 Message-ID: <virpnj$1g4uq$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> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Thu, 05 Dec 2024 09:54:12 +0100 (CET) Injection-Info: dont-email.me; posting-host="aa888f316780512dd90d3d5688c8792f"; logging-data="1577946"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/jhcQA3XSaZHSPKVEit5d1Pt7mApE6pbc=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:JFmTTxMCmUXjpF7+Tos1qGqMd1g= Content-Language: en-US In-Reply-To: <viqca6$12cut$2@dont-email.me> Bytes: 2144 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. Regards, WM