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Path: ...!weretis.net!feeder9.news.weretis.net!news.quux.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: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary) Date: Sun, 29 Dec 2024 18:56:23 +0100 Organization: A noiseless patient Spider Lines: 14 Message-ID: <vks2g7$13p6j$2@dont-email.me> References: <vg7cp8$9jka$1@dont-email.me> <vjf7kl$2s7e5$1@dont-email.me> <vjfmq3$2upa9$3@dont-email.me> <c6b624cb0b1b55d54aab969ee5b4e283ec7be3cd@i2pn2.org> <vjhp8b$3gjbv$1@dont-email.me> <dc9e7638be92c4d158f238f8c042c8559cd46521@i2pn2.org> <vjjg6p$3tvsg$1@dont-email.me> <c31edc62508876748c8cf69f93ab80c0a7fd84ac@i2pn2.org> <vjka3b$1tms$3@dont-email.me> <e11a34c507a23732d83e3d0fcde7b609cdaf3ade@i2pn2.org> <vjmse3$k2go$2@dont-email.me> <069069bf23698c157ddfd9b62b9b2f632b484c40@i2pn2.org> <vjooeq$11n0g$2@dont-email.me> <2d3620a6e2a8a57d9db7a33c9d476fe03cac455b@i2pn2.org> <vjrfcc$1m1b2$1@dont-email.me> <75921cc1f17cdb691969a99e666f237cd09c0b09@i2pn2.org> <vjsrp1$1tqvv$2@dont-email.me> <25729298b142c60d5b245231984119d42d4ac089@i2pn2.org> <vko14j$53b6$3@dont-email.me> <vko1vp$5mmo$1@dont-email.me> <vkp06p$b7kj$1@dont-email.me> <8a5ea464a97000a9e3e8cad62bd9d2a0f5aa5742@i2pn2.org> <vkradm$tpqs$2@dont-email.me> <cb53956e1b9f9f294eabe4bb2931aec79af363ad@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Sun, 29 Dec 2024 18:56:23 +0100 (CET) Injection-Info: dont-email.me; posting-host="2bdd8289678d0293abd2ca3e7b98ed0b"; logging-data="1172691"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/jfnqD9fajSbzn354WSPmswaeiywzX41o=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:I10P7mgtfZC42ikozF/nrRDkDpM= In-Reply-To: <cb53956e1b9f9f294eabe4bb2931aec79af363ad@i2pn2.org> Content-Language: en-US Bytes: 2520 On 29.12.2024 15:43, joes wrote: > Am Sun, 29 Dec 2024 12:05:26 +0100 schrieb WM: >> My theorem: If all definable numbers (FISONs) stay below a certain >> threshold, then every union of those FISONs stays below that threshold. > The infinite union doesn’t. > The union of all FISONs below a certain threshold, namely a threshold between which and ω there exist ℵ₀ natnumbers, remains below this very threshold. Regards, WM