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Path: ...!2.eu.feeder.erje.net!feeder.erje.net!fdn.fr!glou.org!news.glou.org!pi2.pasdenom.info!from-devjntp Message-ID: <4ZkUiiIjjYEeLEZ1SDd23D_M54Q@jntp> JNTP-Route: news2.nemoweb.net JNTP-DataType: Article Subject: Re: Replacement of Cardinality References: <hsRF8g6ZiIZRPFaWbZaL2jR1IiU@jntp> <d4dd199f-088e-4b0e-b40e-a0f2366731e7@att.net> <hsF1KQs0AQ1chexm5WbqhBC9qdw@jntp> <7490d737-bfd0-431e-862b-2f06ead37c90@att.net> <RK4S1_zM8dN3ZmqNitRSqU5p6Tc@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> Newsgroups: sci.logic,sci.math JNTP-HashClient: HkdnAsrWKHoGGO3vNciAfdeB6SQ JNTP-ThreadID: KFm3f7lT2HjaTSiMfnv5xqZoSBw JNTP-Uri: http://news2.nemoweb.net/?DataID=4ZkUiiIjjYEeLEZ1SDd23D_M54Q@jntp User-Agent: Nemo/0.999a JNTP-OriginServer: news2.nemoweb.net Date: Wed, 14 Aug 24 12:14:21 +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="2024-08-14T12:14:21Z/8986493"; 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: 2090 Lines: 12 Le 13/08/2024 à 18:26, Jim Burns a écrit : > On 8/13/2024 10:27 AM, WM wrote: > No visibleᵂᴹ.or.darkᵂᴹ point ε > 0 is the end of > both visibleᵂᴹ and darkᵂᴹ unit.fractions. Every ε > 0 is visible, because it is chosen. But ℵo unit fractions occupy an interval y > 0 to settle there. Not every point of y has ℵo smaller unit fractions. Every chosen ε > 0 is larger than this interval y. Regards, WM