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Path: ...!weretis.net!feeder9.news.weretis.net!news.quux.org!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: Mikko <mikko.levanto@iki.fi> Newsgroups: sci.logic Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary) Date: Wed, 27 Nov 2024 11:33:41 +0200 Organization: - Lines: 20 Message-ID: <vi6p1l$3uoti$1@dont-email.me> References: <vg7cp8$9jka$1@dont-email.me> <vh1vlb$25kic$1@dont-email.me> <vh2j89$29gco$1@dont-email.me> <vh4f7p$2o5hn$1@dont-email.me> <vh4job$2ov2c$1@dont-email.me> <vh78jp$3cbq7$1@dont-email.me> <vh7d5c$3cpaf$1@dont-email.me> <5b8de1bc-9f6c-4dde-a7cd-9e22e8ce19d9@att.net> <vhata3$59e5$2@dont-email.me> <31419fde-62b3-46f3-89f6-a48f1fe82bc0@att.net> <vhc77g$hdd4$1@dont-email.me> <476ae6cb-1116-44b1-843e-4be90d594372@att.net> <vhhr6f$1q0r9$1@dont-email.me> <ffa63cb5-8898-4aa7-80eb-8b2c51c9986d@att.net> <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> MIME-Version: 1.0 Content-Type: text/plain; charset=utf-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Wed, 27 Nov 2024 10:33:42 +0100 (CET) Injection-Info: dont-email.me; posting-host="ab6fb872c92ba29b852804a380368ae9"; logging-data="4154290"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX19pvXrE18G2x6CiAjyZ3w5a" User-Agent: Unison/2.2 Cancel-Lock: sha1:YY/PvtrzFZK1Y25V9d8EAy4tcPs= Bytes: 2374 On 2024-11-26 11:07:57 +0000, WM said: > On 26.11.2024 10:09, Mikko wrote: >> On 2024-11-25 14:38:13 +0000, WM said: > >>> The simple example contradicts a bijection between the two sets >>> described above. >> >> What does "contradicts a bijection" mean? >> > It shows that the mapping claimed to be a bijection is not a bijection. If so, no bijection is contradicted. However, that does not prove that there is no bijection between the same two sets. -- Mikko