Path: ...!npeer.as286.net!npeer-ng0.as286.net!weretis.net!feeder8.news.weretis.net!pasdenom.info!from-devjntp Message-ID: JNTP-Route: news2.nemoweb.net JNTP-DataType: Article Subject: Re: Does the number of nines =?UTF-8?Q?increase=3F?= References: <9f744198-219c-481d-970d-0ba4c264f090@att.net> <4RWgJcGMg1Zagk6yT04mcwxdZH4@jntp> <59961718-bd36-46df-801a-4f977fcc05cf@att.net> Newsgroups: sci.math JNTP-HashClient: X2n6veDrFohr9fezHx8oDoLIme4 JNTP-ThreadID: 0JbXgoRqYUfKvvWhEBWZVJgnda4 JNTP-Uri: http://news2.nemoweb.net/?DataID=JZpqdwwOwjdh5WP3Om6XikdFFoE@jntp User-Agent: Nemo/0.999a JNTP-OriginServer: news2.nemoweb.net Date: Wed, 03 Jul 24 20:05:48 +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="2024-07-03T20:05:48Z/8930812"; 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 Bytes: 2444 Lines: 25 Le 03/07/2024 à 19:09, Moebius a écrit : > Am 28.06.2024 um 15:55 schrieb WM: > > >> in {0, 1, 2, 3, ..., ω} before ω there is a natural number. > > Ja, "before ω" (im Sinne von kleiner) sind unendlich viele natural > numbers, nämlich die natürlichen Zahlen 0, 1, 2, 3, ... usw. > > Es gibt aber keine natürliche Zahl die "unmittelbar vor" ω steht. You cannot recognize it. It is existing but dark. > Zu jeder > natürlichen Zahl n gibt es eine natürliche Zahl m (beispielsweise n+1), > so dass n < m < ω gilt. For every visible natural number this is true. Like ∀x > 0: NUF(x) = ℵo is true. But this truth proves the existence of dark numbers, because between every such x and 0 there must lie ℵo unit fractions and ℵo finite distances between them. Regards, WM