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Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: Richard Damon <richard@damon-family.org> Newsgroups: sci.logic Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary) Date: Wed, 11 Dec 2024 00:25:49 -0000 (UTC) Organization: A noiseless patient Spider Lines: 24 Message-ID: <vjam6d$1700v$1@dont-email.me> References: <vhkhun$28qt$1@dont-email.me> <vhmtph$j1ek$1@dont-email.me> <vhn1jk$jf6v$1@dont-email.me> <vhn3po$jvo1$1@dont-email.me> <vhn420$jf6v$3@dont-email.me> <vhpg51$13soc$1@dont-email.me> <vhpnrb$15239$1@dont-email.me> <vhs2gn$1kjtc$1@dont-email.me> <vhs4ue$1ku9t$1@dont-email.me> <vhv6or$280s6$1@dont-email.me> <vhvbjb$28n6o$1@dont-email.me> <vi1dbj$2moon$1@dont-email.me> <vi224l$2pgrd$1@dont-email.me> <vi4383$3csd4$2@dont-email.me> <vi4a6c$3dt4s$2@dont-email.me> <vi6p1l$3uoti$1@dont-email.me> <vi6unr$3v0dn$5@dont-email.me> <vihd3l$2d9fk$1@dont-email.me> <vihfai$2cnof$1@dont-email.me> <vijrru$37ce1$1@dont-email.me> <vikh9k$3cua3$1@dont-email.me> <viml28$6j3$1@dont-email.me> <0b1bb1a1-40e3-464f-9e3d-a5ac22dfdc6f@tha.de> <95183b4d9c2e32651963bac79965313ad2bfe7e8@i2pn2.org> <vj6vhh$elqh$2@dont-email.me> <33512b63716ac263c16b7d64cd1d77578c8aea9d@i2pn2.org> <vj9s4i$11a3p$1@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Injection-Date: Wed, 11 Dec 2024 01:25:49 +0100 (CET) Injection-Info: dont-email.me; posting-host="7d00a12bb40ff3cda3e3b7540eeb9452"; logging-data="1277983"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX196LZru8IhjgFIT2Zv5pEfKPCaxtWHeK9w=" User-Agent: NewsTap/5.5 (iPad) Cancel-Lock: sha1:9RJNrFbpWa8Gzid4LVlQqKGCCkk= sha1:fd/RK/cNV4RzKn0gM+SdYesbU7M= Bytes: 2692 WM <wolfgang.mueckenheim@tha.de> wrote: > On 10.12.2024 13:19, Richard Damon wrote: > >> >> The pairing is between TWO sets, not the members of a set with itself. > > The pairing is between the elements. Otherwise you could pair R and Q by > simply claiming it. > "The infinite sequence thus defined has the peculiar property to contain > the positive rational numbers completely, and each of them only once at > a determined place." [Cantor] Note the numbers, not the set. > > Regards, WM > > The pairing of the elements of *TWO* sets, like R and Q or N and the set of elements of N that are 0 mod 10. TWO different sets, not the elements of a set and some of the elements of that same set. Sorry, you are just proving that you logic is based on LIES.