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Path: ...!weretis.net!feeder8.news.weretis.net!pasdenom.info!from-devjntp Message-ID: <XN_J9y_I1T03twsDf3EGGwcYpTo@jntp> JNTP-Route: news2.nemoweb.net JNTP-DataType: Article Subject: Re: Replacement of Cardinality References: <hsRF8g6ZiIZRPFaWbZaL2jR1IiU@jntp> <86b4ae54-b252-49b4-a835-b701ec1bacdf@att.net> <bXKL28bHgeFdCk5SZY53YFgJJUs@jntp> <7283ed38-26be-4ded-9dc1-ba879c881fe8@att.net> <nrBsep-L2K1nhRzOO5WLsFEZwXQ@jntp> <371fbe77-947b-4316-af06-30cdcdb5f29b@att.net> <v9g21a$3ukkk$2@dont-email.me> <6a761915-99c8-4203-a32d-d8158989a951@att.net> <Y8rRRDDal13P7xQh_P9SEPM5CYg@jntp> <v9iuuq$iiv3$1@dont-email.me> Newsgroups: sci.logic,sci.math JNTP-HashClient: YQEtFhdu_owDiFkhfOqUIcHjCSs JNTP-ThreadID: KFm3f7lT2HjaTSiMfnv5xqZoSBw JNTP-Uri: http://news2.nemoweb.net/?DataID=XN_J9y_I1T03twsDf3EGGwcYpTo@jntp User-Agent: Nemo/0.999a JNTP-OriginServer: news2.nemoweb.net Date: Thu, 15 Aug 24 13:57:34 +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="2024-08-15T13:57:34Z/8987740"; 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: 1958 Lines: 12 Le 14/08/2024 à 21:01, "Chris M. Thomasson" a écrit : > On 8/14/2024 5:28 AM, WM wrote: >> The existence of a smallest unit fraction is the only alternative to the >> existence of more than one at a real point. > > There is no smallest unit fraction, There is a smallest one because all are separated: ∀n ∈ ℕ: 1/n - 1/(n+1) > 0 Regards, WM