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Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!eternal-september.org!.POSTED!not-for-mail From: WM <wolfgang.mueckenheim@tha.de> Newsgroups: sci.math Subject: Re: The non-existence of "dark numbers" Date: Tue, 18 Mar 2025 11:07:22 +0100 Organization: A noiseless patient Spider Lines: 15 Message-ID: <vrbgkp$27e67$2@dont-email.me> References: <vqrbtd$1chb7$2@solani.org> <vqsuf0$2g64$1@news.muc.de> <vqucdi$36bb4$1@dont-email.me> <vqukqm$19g3$1@news.muc.de> <vqv0gq$3eapu$1@dont-email.me> <vqv62q$18mn$2@news.muc.de> <vr169k$18k4i$1@dont-email.me> <vr1bav$p45$1@news.muc.de> <vr1e8i$1er2v$1@dont-email.me> <vr1hig$5qt$1@news.muc.de> <vr29g3$23fi7$3@dont-email.me> <vr2d3k$jli$1@news.muc.de> <vr3fbu$1gbs1$3@solani.org> <vr3pvd$20r1$1@news.muc.de> <vr4cgl$3qbcs$3@dont-email.me> <vr6fgl$1uok$1@news.muc.de> <vr6tit$21dt9$1@dont-email.me> <vr71ea$qjf$1@news.muc.de> <vr774e$2a6rj$2@dont-email.me> <vr7ma8$2onbj$2@dont-email.me> <vr8arv$3dccd$1@dont-email.me> <vr9tha$pvuu$1@dont-email.me> <vr9url$q03i$2@dont-email.me> <vrbc8g$23ker$1@dont-email.me> <vrbek0$276rm$1@dont-email.me> <vrbfl1$27e67$1@dont-email.me> <vrbg13$28e26$1@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Tue, 18 Mar 2025 11:07:22 +0100 (CET) Injection-Info: dont-email.me; posting-host="ac4a04604081f55585198279358e958d"; logging-data="2341063"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/wAw4DLFbUz4uM/Ehi02wlKTPwmmx5DgQ=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:CWKDanB4Vsy4EP8ZPU5bukCruOE= Content-Language: en-US In-Reply-To: <vrbg13$28e26$1@dont-email.me> Bytes: 2282 On 18.03.2025 10:56, FromTheRafters wrote: > on 3/18/2025, WM supposed : >> The set is ordered and if it is actually infinite, then all its >> elements are there and do not appear from nothing but then it has a >> greatest element. > > Nope, it is a limit ordinal. All elements of ℕ are there. That is the assumption. If no greatest can be identified, then the reason are dark numbers. Otherwise only potential infinity could solve the dilemma. Regards, WM