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Path: ...!3.eu.feeder.erje.net!feeder.erje.net!usenet.goja.nl.eu.org!pasdenom.info!from-devjntp Message-ID: <ExQaialBrX4IGurUPddfSC610BQ@jntp> JNTP-Route: news2.nemoweb.net JNTP-DataType: Article Subject: Re: how References: <qHqKnNhkFFpow5Tl3Eiz12-8JEI@jntp> <c4a5b51e-a9c3-4d3f-b7f9-06a53593d836@att.net> <8SqWWZhhlVTCtwSAp_E7XuodBl8@jntp> <74cb7a4e-39ad-4832-80e8-2855d160af8a@att.net> <amH_j1aBYYp2aJdK8stwNkRBfPk@jntp> <86943ca8-a023-46d1-b068-78a03a0b0e76@att.net> <psHXzIfyki-gj3aETK8ifAexIXU@jntp> <v577hs$3t1c0$1@dont-email.me> <PRw7Djlebuwhq7QWYXw1Y5CSAC4@jntp> <v57evs$3uedm$1@dont-email.me> Newsgroups: sci.math JNTP-HashClient: x7843LpCTXm3-r3hszaLgrwRb-E JNTP-ThreadID: 4YLc1knY-8u5i_KQ0oWqy89D7aY JNTP-Uri: http://news2.nemoweb.net/?DataID=ExQaialBrX4IGurUPddfSC610BQ@jntp User-Agent: Nemo/0.999a JNTP-OriginServer: news2.nemoweb.net Date: Sat, 22 Jun 24 21:35:57 +0000 Organization: Nemoweb JNTP-Browser: Mozilla/5.0 (Windows NT 10.0; Win64; x64) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/126.0.0.0 Safari/537.36 Injection-Info: news2.nemoweb.net; posting-host="25d5a506365fc8262443ce1bd287e5d0233c1bef"; logging-data="2024-06-22T21:35:57Z/8914179"; 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: 2109 Lines: 14 Le 22/06/2024 à 23:16, "Chris M. Thomasson" a écrit : > On 6/22/2024 1:23 PM, WM wrote: >> Every existing set of ordinals has a first or smallest element. The set >> of FISONs necessary to yield ℕ would be a set of ordinals. It is well >> defined since for every FISON we can determine whether it is necessary. >> It has no smallest element. ==> It is empty. >> >> IF ℕ is the union of FISONs, THEN ℕ is empty. ℕ is not empty. >> > A infinite sequence of FISONS: Can you comprehend my argument? Regards, WM