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Path: ...!weretis.net!feeder8.news.weretis.net!pasdenom.info!from-devjntp Message-ID: <O52bVVDJKpPm6iiCGzJqOmB3CQI@jntp> JNTP-Route: news2.nemoweb.net JNTP-DataType: Article Subject: Re: Replacement of Cardinality References: <hsRF8g6ZiIZRPFaWbZaL2jR1IiU@jntp> <val92g$33pkn$1@dont-email.me> <val9hk$33mgs$1@dont-email.me> <GknMvtkLnWBwOVHuwhpOvuPVwIg@jntp> <5d289c3ad609a69bad184ed6c95fbedc401f0189@i2pn2.org> <van69b$3fpfi$1@dont-email.me> <dyeY8rd2o9vs021HNxZ7wfjDkq4@jntp> <ef4b55d630dd343b7a8469d41d16016ea1e24b20@i2pn2.org> <_i8vjorHGYGiBnx5JLtxIOZzc3U@jntp> <07a94ef915a81fb7c3c87accfbc207a13d5d27df@i2pn2.org> Newsgroups: sci.math JNTP-HashClient: IpLEszwmuX6NtxUtK9hOGhJ8_W0 JNTP-ThreadID: KFm3f7lT2HjaTSiMfnv5xqZoSBw JNTP-Uri: http://news2.nemoweb.net/?DataID=O52bVVDJKpPm6iiCGzJqOmB3CQI@jntp User-Agent: Nemo/0.999a JNTP-OriginServer: news2.nemoweb.net Date: Fri, 30 Aug 24 12:46:18 +0000 Organization: Nemoweb JNTP-Browser: Mozilla/5.0 (Windows NT 10.0; Win64; x64) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/128.0.0.0 Safari/537.36 Injection-Info: news2.nemoweb.net; posting-host="82b75c1d0a83e677ff646b52485f72f8b23749df"; logging-data="2024-08-30T12:46:18Z/9005869"; 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: 2299 Lines: 22 Le 29/08/2024 à 17:42, joes a écrit : > Am Thu, 29 Aug 2024 13:13:20 +0000 schrieb WM: >> Le 29/08/2024 à 12:48, joes a écrit : >>> Am Wed, 28 Aug 2024 13:11:10 +0000 schrieb WM: >> >>>> Why do you think that ℵo non-empty finite gaps are smaller than every >>>> x > 0? >>> I don’t. >> How many would you accept? > Nothing is smaller than all x. How man unit fractions are lessorequal than all unit fractions? How man unit fraction are lessorequal every unt fractions. > >>> Get your quantifiers in order. > However, the number of unit fractions less than any given x is infinite. This is the question: Can two unit fractions be lessorequal than all unit fractions? Regards, WM