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Path: ...!feeds.phibee-telecom.net!weretis.net!feeder8.news.weretis.net!pasdenom.info!from-devjntp Message-ID: <fXsvooLcdeXXvk70PNId58XiGIc@jntp> JNTP-Route: news2.nemoweb.net JNTP-DataType: Article Subject: Re: Replacement of Cardinality References: <hsRF8g6ZiIZRPFaWbZaL2jR1IiU@jntp> <Aj67svgBqlC6ubyAZ01SM3EN5mc@jntp> <9ef8dd8a-69be-44e2-bcf6-ea9c1fb30e21@att.net> <LHtSphVaxvF9i9lsFtvEfbB4PS8@jntp> <92189533-0c1f-4532-816f-564651cc8bf7@att.net> <zzRMVwrDvZCAHeIta8vMnBBxp8E@jntp> <c4bbc4d3-26b3-4e53-9c82-87c8396d155d@att.net> <UxK9-w52mbKHJ77U1V4M6I24HeY@jntp> <c8abcebe-b826-45de-8507-71521bf2d6a7@att.net> <v9vune$2unef$1@dont-email.me> Newsgroups: sci.logic,sci.math JNTP-HashClient: YOy1dj1o5ZX7_-bpYCdlwm_DrIc JNTP-ThreadID: KFm3f7lT2HjaTSiMfnv5xqZoSBw JNTP-Uri: http://news2.nemoweb.net/?DataID=fXsvooLcdeXXvk70PNId58XiGIc@jntp User-Agent: Nemo/0.999a JNTP-OriginServer: news2.nemoweb.net Date: Tue, 20 Aug 24 13:00:46 +0000 Organization: Nemoweb JNTP-Browser: Mozilla/5.0 (Windows NT 10.0; Win64; x64) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/127.0.0.0 Safari/537.36 Injection-Info: news2.nemoweb.net; posting-host="82b75c1d0a83e677ff646b52485f72f8b23749df"; logging-data="2024-08-20T13:00:46Z/8993719"; 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: 2122 Lines: 20 Le 19/08/2024 à 19:17, Moebius a écrit : > WM: "Dark unit fractions have a smallest element." > > See?! The function NUF(x) grows by 1 at every unit fraction. It starts from 0. > > WM: "Visible unit fractions have the [or rather *a*] lower bound 0." It is the greatest lower bound because every greater number can be undercut by a visible unit fraction. > > Right, but the dark unit fractions ARE BETWEEN 0 and all the visible > unit fractions. So it is. Regards, WM