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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: WM <wolfgang.mueckenheim@tha.de> Newsgroups: sci.logic Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary) Date: Mon, 2 Dec 2024 15:47:15 +0100 Organization: A noiseless patient Spider Lines: 27 Message-ID: <vikh9k$3cua3$1@dont-email.me> References: <vg7cp8$9jka$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> <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> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Mon, 02 Dec 2024 15:47:17 +0100 (CET) Injection-Info: dont-email.me; posting-host="ce3d3b9e7489de49abef8eb953641234"; logging-data="3569987"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/Mtrd0myBj6sNhVriVTx6JI4yG9Z+K79E=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:+8x4tI77Z3j4mRjxbSlX2GQQFIg= Content-Language: en-US In-Reply-To: <vijrru$37ce1$1@dont-email.me> Bytes: 2940 On 02.12.2024 09:41, Mikko wrote: > On 2024-12-01 10:55:15 +0000, WM said: >>>>>>> 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. The *claim* that a bijection is possible is disproved. >>>> >>>> The possibility of a bijection between the sets ℕ = {1, 2, 3, ...} >>>> and D = {10n | n ∈ ℕ} is contradicted. >>> >>> No, it is not. You merely deny it, disregarding obvious facts. >> >> Obvious is that for every interval (0, n] the relative covering is >> 1/10, and that there are no further black hats beyond all natnumbers n. > > Irrelevant to everything quoted above. > You are unable to understand? That's not my problem. Probably every proof meets readers who don't understand it. Regards, WM