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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: Sat, 7 Dec 2024 10:06:20 +0100 Organization: A noiseless patient Spider Lines: 28 Message-ID: <vj136c$2vs8f$2@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> <52bcdc5dc54bbfb48a16c985885e5d527e483ceb@i2pn2.org> <visj63$1mmrh$3@dont-email.me> <vitgk0$1u0mg$4@dont-email.me> <viu7pj$26h5g$2@dont-email.me> <vivkav$2his5$1@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: Sat, 07 Dec 2024 10:06:21 +0100 (CET) Injection-Info: dont-email.me; posting-host="1c409d795df2295a384f31fa70bd78b1"; logging-data="3141903"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX19qOZMd3NWQPKfkvLlvij4l" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:GZNC6MyrFzzu1trQQChzxSojF/k= Content-Language: de-DE In-Reply-To: <vivkav$2his5$1@dont-email.me> Bytes: 3041 Am 06.12.2024 um 20:46 schrieb Chris M. Thomasson: > On 12/5/2024 11:06 PM, Moebius wrote: >> Am 06.12.2024 um 01:30 schrieb Chris M. Thomasson: >>> On 12/5/2024 8:08 AM, WM wrote: >>>> On 05.12.2024 13:26, Richard Damon wrote: >>>> >>>>> Which ones can not be "taken" or "given". >>>> >>>> Those with less than infinitely many successors. >> >> Mückenheim, bei Dir sind wirklich ein paar Schrauben locker. >> >> Indeed! Numbers which do not exist can not be "taken" or "given" >> Mückenheim is completely right here! On the other hand, "those"?! >> >>> Do you even know how to take any natural number, create a unique pair >>> and then get back to the original number from said pair? >> >> I certainly don't know. Please tell me! > > Take any natural number and run it through Cantor Pairing to get a > unique pair. From this pair alone we can also get back to the original > number. Where can I find those natural numbers? And what EXACTLY do you mean by "run it through Cantor Pairing"? I and how does it _create_ pairs? Strange things are going on.