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Path: ...!weretis.net!feeder8.news.weretis.net!pasdenom.info!from-devjntp Message-ID: <FR6GjPImkFWyV8gBew-j-0GtJAk@jntp> JNTP-Route: news2.nemoweb.net JNTP-DataType: Article Subject: Re: Replacement of Cardinality References: <hsRF8g6ZiIZRPFaWbZaL2jR1IiU@jntp> <cec0225a1e6ec21e1bca57b37fff99612e4505c4@i2pn2.org> <8G0IFYrPqHdBEH1pzbz9ifVRvd0@jntp> <11698e94cb8361b62f1686b64d6351a9720d4d3d@i2pn2.org> <nhZZyv1rDmL90pLuaDma-8md3qw@jntp> <1b259a91952c93a56ad1e0063a2d7440aed185f2@i2pn2.org> <rHIaB-dFODVqSY7-aRnf4ItTyG0@jntp> <20e0e340532aa10bcc86e51eb5d19d006acefb12@i2pn2.org> <el_h_RPLN1ZVr_KeaLK-R-0CPpY@jntp> <411a6d693f5dac5ec7cf51a239a9570ac5ce7bd4@i2pn2.org> Newsgroups: sci.logic,sci.math JNTP-HashClient: QHI53ififeXivAacGi1gWL3Ok9Q JNTP-ThreadID: KFm3f7lT2HjaTSiMfnv5xqZoSBw JNTP-Uri: http://news2.nemoweb.net/?DataID=FR6GjPImkFWyV8gBew-j-0GtJAk@jntp User-Agent: Nemo/0.999a JNTP-OriginServer: news2.nemoweb.net Date: Fri, 02 Aug 24 14:50:22 +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="2024-08-02T14:50:22Z/8973077"; 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: 2060 Lines: 10 Le 01/08/2024 à 18:04, joes a écrit : > A "gap" implies some sort of space that is not filled. There is no such > space (it would be filled with infinitely many natural numbers). > We just condense the whole of N into one concept and call that omega, > or add it on the next level of infinity. The limit is not a next level but extends the ordinals just like 0 extends their reciprocals. Regards, WM