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Path: ...!news.mixmin.net!proxad.net!feeder1-2.proxad.net!usenet-fr.net!glou.org!news.glou.org!pi2.pasdenom.info!from-devjntp Message-ID: <U8YVSGphNHvTenas6IC_7SR22wU@jntp> JNTP-Route: news2.nemoweb.net JNTP-DataType: Article Subject: Re: Replacement of Cardinality References: <hsRF8g6ZiIZRPFaWbZaL2jR1IiU@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> <b476ed29-d093-47ac-b16d-a64ee620e79b@att.net> <J3NuQSpglS65L-_3eT5X2z97Eqg@jntp> <b660a922-3af8-4224-9c66-a750f48ec63b@att.net> Newsgroups: sci.logic,sci.math JNTP-HashClient: erkixkLADf8ar5CXPNGFzPgQYRk JNTP-ThreadID: KFm3f7lT2HjaTSiMfnv5xqZoSBw JNTP-Uri: http://news2.nemoweb.net/?DataID=U8YVSGphNHvTenas6IC_7SR22wU@jntp User-Agent: Nemo/0.999a JNTP-OriginServer: news2.nemoweb.net Date: Wed, 21 Aug 24 10:43:17 +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="2024-08-21T10:43:17Z/8994986"; 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: 2277 Lines: 24 Le 20/08/2024 à 22:05, Jim Burns a écrit : > On 8/20/2024 9:07 AM, WM wrote: > No min.⅟ℕᵈᵉᶠ exists. The reason is potential infinity. But dark unit fractions are assumed to be actually infinite. > >> It starts from 0. > > If ⅟ℕᵈᵉᶠ starts, > ⅟ℕᵈᵉᶠ starts from min.⅟ℕᵈᵉᶠ > > No min.⅟ℕᵈᵉᶠ exists. > ⅟ℕᵈᵉᶠ does not start. > > Because 0 is glb.⅟ℕᵈᵉᶠ not.in ⅟ℕᵈᵉᶠ All that is correct for definable unit fractions. But NUF(x) starts from 0 and cannot avoid to take the values 1, 2, 3, ... .. Regards, WM