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Path: ...!weretis.net!feeder8.news.weretis.net!pasdenom.info!from-devjntp Message-ID: <KuLhHw2IN9iQNtbUjgjd4C_7Vtc@jntp> JNTP-Route: news2.nemoweb.net JNTP-DataType: Article Subject: Re: There is a first/smallest integer (in =?UTF-8?Q?M=C3=BCckenland=29?= References: <v78aei$1qhrg$2@dont-email.me> <7mXj2D8kEhAscu3HLTqTUKsaj18@jntp> <d9b0dacd61b979099d931df69cf76c214d690d39@i2pn2.org> <Eb-CQaKSaHkMpWykEcQGtifvbV0@jntp> <45c2168329b760983a8cbc9139b6decf1a1edf5b@i2pn2.org> <v79af9$20iae$1@dont-email.me> <0urLk9tzygU8hLyD_kwRho5GpbQ@jntp> <v79fdn$214l1$1@dont-email.me> <QrSd6-1GsHbccl2htOUYqKQ82uU@jntp> <v7bct4$2fgjd$2@dont-email.me> Newsgroups: sci.math JNTP-HashClient: puj3LwadI-dlHZZGkoxfvuMED30 JNTP-ThreadID: v78aei$1qhrg$2@dont-email.me JNTP-Uri: http://news2.nemoweb.net/?DataID=KuLhHw2IN9iQNtbUjgjd4C_7Vtc@jntp User-Agent: Nemo/0.999a JNTP-OriginServer: news2.nemoweb.net Date: Thu, 18 Jul 24 18:24:28 +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="82b75c1d0a83e677ff646b52485f72f8b23749df"; logging-data="2024-07-18T18:24:28Z/8954028"; 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: 2398 Lines: 24 Le 18/07/2024 à 17:38, Moebius a écrit : > Am 18.07.2024 um 15:20 schrieb WM: >> Le 18/07/2024 à 00:08, Moebius a écrit : >>> Am 17.07.2024 um 23:17 schrieb WM: >> >>> Es gilt also für alle x e IR, x > 0: |(0, x)| = 2^ℵo. >> >> Nein. > > Ja, doch. > > Hast Du das nicht gewusst? Jedes noch so kleine reelle Intervall (das > nicht zu einem Punkt ausgeartet ist), hat die Mächtigkeit von ganz IR, > also 2^ℵo. Das hat schon Cantor bewiesen. Das ist ein Indiz dafür, dass diese Theorie falsch ist, hier aber irrelevant. A claim for all x > 0 is a claim for all points of the interval (0, oo). The claim "between 0 and every point of (0, oo) NUF(x) = ℵo" implies the existence of ℵo unit fractions betwee 0 and (0, oo) and is false. Regards, WM