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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!eternal-september.org!.POSTED!not-for-mail From: "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> Newsgroups: sci.math Subject: Re: The non-existence of "dark numbers" Date: Mon, 17 Mar 2025 12:35:05 -0700 Organization: A noiseless patient Spider Lines: 13 Message-ID: <vr9tha$pvuu$1@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> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Mon, 17 Mar 2025 20:35:07 +0100 (CET) Injection-Info: dont-email.me; posting-host="0b3569b296defbc46d8f9f8c90c10f87"; logging-data="851934"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX181MN99Z6Zv9dwUoeH/ONSRNvP7jIV3r+8=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:KidM9rjaL/RPL4hF8arFqjwbWL0= In-Reply-To: <vr8arv$3dccd$1@dont-email.me> Content-Language: en-US Bytes: 2151 On 3/16/2025 10:10 PM, WM wrote: > On 17.03.2025 00:19, Chris M. Thomasson wrote: >> On 3/16/2025 12:00 PM, WM wrote: > >>> No. The definable natural numbers strive to the smallest infinite >>> number ω. But they are never there. >> >> What is wrong with you? N is all the natural numbers. Saying all does >> not mean finite... Name a natural number that cannot be defined? > > The number next to ω cannot be defined. Any natural number can be defined...