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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: Wed, 4 Dec 2024 02:02:54 +0100 Organization: A noiseless patient Spider Lines: 22 Message-ID: <vio9nu$f13q$1@dont-email.me> References: <vg7cp8$9jka$1@dont-email.me> <71758f338eb239b7419418f49dfd8177c59d778b@i2pn2.org> <via83s$jk72$2@dont-email.me> <viag8h$lvep$1@dont-email.me> <viaj9q$l91n$1@dont-email.me> <vibvfo$10t7o$1@dont-email.me> <vic6m9$11mrq$4@dont-email.me> <vicbp2$1316h$1@dont-email.me> <vid4ts$1777k$2@dont-email.me> <vidcv3$18pdu$1@dont-email.me> <bdbc0e3d-1db2-4d6a-9f71-368d36d96b40@tha.de> <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$5@dont-email.me> Reply-To: invalid@example.invalid MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Wed, 04 Dec 2024 02:02:54 +0100 (CET) Injection-Info: dont-email.me; posting-host="f54805dd0852139be813890d7a58bd55"; logging-data="492666"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX19m6F5jdM7Vnngdd+kR11gN" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:7yIkAVglhzkRAajP/jna+0gmVKk= Content-Language: de-DE In-Reply-To: <vio8rj$ei97$5@dont-email.me> Bytes: 2513 Am 04.12.2024 um 01:47 schrieb Chris M. Thomasson: > On 12/3/2024 2:32 PM, Moebius wrote: >> Am 03.12.2024 um 23:16 schrieb Moebius: >>> Am 03.12.2024 um 22:59 schrieb Chris M. Thomasson: >> >>>> However, there is no largest natural number, when I think of that I >>>> see no limit to the naturals. >> >> Right. No "coventional" limit. Actually, >> >> "lim_(n->oo) n" >> >> does not exist. > > In the sense of as n tends to infinity there is no limit that can be > reached as in a so-called largest natural number type of shit? Fair enough? Exactly. We say, n is "growing beyond all bounds". :-P