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Path: ...!weretis.net!feeder8.news.weretis.net!pasdenom.info!from-devjntp Message-ID: <zfhqECAXJARe3hbRnJ_oaYyjkro@jntp> JNTP-Route: news2.nemoweb.net JNTP-DataType: Article Subject: Re: Replacement of Cardinality References: <hsRF8g6ZiIZRPFaWbZaL2jR1IiU@jntp> <MyfajwdXdoZZDQyGfKtmPKpt08o@jntp> <6cc86827-def3-4948-9e69-a3fea9e86c06@att.net> <vagheo$24vpo$4@dont-email.me> <6SLKsYqqtl1spoN6trAGFCEcAxc@jntp> <valbld$33pko$1@dont-email.me> <CvvV1cSfPC3QJ3tElnVntHhM_ZE@jntp> <vanaic$3ge7i$1@dont-email.me> <nTstM2rqnAPVLSM935ZrojNuyoY@jntp> <1373928244f778869985cb9264d778bed5ccf85a@i2pn2.org> Newsgroups: sci.math JNTP-HashClient: zaJoBJ5VhTUXNqMX8z3qm6469XE JNTP-ThreadID: KFm3f7lT2HjaTSiMfnv5xqZoSBw JNTP-Uri: http://news2.nemoweb.net/?DataID=zfhqECAXJARe3hbRnJ_oaYyjkro@jntp User-Agent: Nemo/0.999a JNTP-OriginServer: news2.nemoweb.net Date: Fri, 30 Aug 24 13:01:08 +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="2024-08-30T13:01:08Z/9005884"; 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: 2603 Lines: 28 Le 30/08/2024 à 09:21, joes a écrit : > Am Thu, 29 Aug 2024 13:34:14 +0000 schrieb WM: >> Le 28/08/2024 à 16:00, FromTheRafters a écrit : >>> WM presented the following explanation : >>>> Le 27/08/2024 à 22:07, "Chris M. Thomasson" a écrit : >>>>> On 8/27/2024 12:36 PM, WM wrote: >>>> >>>>>> Dark natural numbers are larger than any visible natural number but >>>>>> smaller than their bound omega. >>>>>> Dark unit fractions are smaller than any visible unit fractions but >>>>>> larger than their bound 0. >>>>> >>>>> Define visible? >>>> >>>> The simplest definition is this: A visible number can be expressed in >>>> decimals or binaries. >>> >>> Can be? Or is? Or has previously been? >> >> Is or has previously been. If not yet expressed in the system, it is >> dark in the system. But small dark numbers can become visisble. (They >> have been called grey numbers.) > By induction that goes for every number. *If actual infinity exists*, then induction fails to reach most numbers. Regards, WM