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Path: ...!2.eu.feeder.erje.net!3.eu.feeder.erje.net!feeder.erje.net!fdn.fr!usenet-fr.net!pasdenom.info!from-devjntp Message-ID: <obYT-_bzBjy2gbbsrpDRJdbDxs4@jntp> JNTP-Route: news2.nemoweb.net JNTP-DataType: Article Subject: Re: Does the number of nines =?UTF-8?Q?increase=3F?= References: <tJf9P9dALSN4l2XH5vdqPbXSA7o@jntp> <v669vp$2pluv$1@dont-email.me> <v66kcm$2rgql$1@dont-email.me> <v66u7k$2t154$1@dont-email.me> <v66v36$2t7em$1@dont-email.me> <v670bh$2tdhr$1@dont-email.me> <v670q1$2tc0j$2@dont-email.me> Newsgroups: sci.math JNTP-HashClient: QCv70kqPqZ8U4JQuXkEmcVJOWXU JNTP-ThreadID: 0JbXgoRqYUfKvvWhEBWZVJgnda4 JNTP-Uri: http://news2.nemoweb.net/?DataID=obYT-_bzBjy2gbbsrpDRJdbDxs4@jntp User-Agent: Nemo/0.999a JNTP-OriginServer: news2.nemoweb.net Date: Fri, 05 Jul 24 07:59:59 +0000 Organization: Nemoweb JNTP-Browser: Mozilla/5.0 (Windows NT 10.0; Win64; x64) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/126.0.0.0 Safari/537.36 Injection-Info: news2.nemoweb.net; posting-host="25d5a506365fc8262443ce1bd287e5d0233c1bef"; logging-data="2024-07-05T07:59:59Z/8933231"; posting-account="217@news2.nemoweb.net"; mail-complaints-to="julien.arlandis@gmail.com" JNTP-ProtocolVersion: 0.21.1 JNTP-Server: PhpNemoServer/0.94.5 MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit X-JNTP-JsonNewsGateway: 0.96 From: WM <wolfgang.mueckenheim@tha.de> Bytes: 1961 Lines: 13 Le 04/07/2024 à 22:30, Moebius a écrit : > Am 04.07.2024 um 22:23 schrieb Chris M. Thomasson: >> there are an infinite amount of [real] numbers between say, .0000001 and >> .00000001 > > _Uncountably_ infinitely many. Wrong. That would require complete infinite sequences which cannot be given because the not given part is always larger, namely infinite. And only finite formulas defining real numbers are not enough to establish an uncountable set. Regards, WM