Path: ...!2.eu.feeder.erje.net!feeder.erje.net!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: FromTheRafters Newsgroups: sci.math Subject: Re: How many different unit fractions are lessorequal than all unit fractions? Date: Sun, 15 Sep 2024 17:24:41 -0400 Organization: Peripheral Visions Lines: 18 Message-ID: References: <405557f7289631d63264c712d137244c940b9926@i2pn2.org> <13c08e96ad635f8142b38d89863a80caf17a32a8@i2pn2.org> <4faa63d0ff8c163f01a38736aeb5732184218a29@i2pn2.org> Reply-To: erratic.howard@gmail.com MIME-Version: 1.0 Content-Type: text/plain; charset="iso-8859-15"; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Sun, 15 Sep 2024 23:24:43 +0200 (CEST) Injection-Info: dont-email.me; posting-host="674a138ef2aa1ffb66c70555f3307a8d"; logging-data="2516535"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX19ko/hUhbL5+GN5QBo3QuqWwo1VG1MaraM=" Cancel-Lock: sha1:zqS4T/41DjniUmTNIqj2dHjFCFY= X-Newsreader: MesNews/1.08.06.00-gb X-ICQ: 1701145376 Bytes: 2493 It happens that WM formulated : > On 14.09.2024 19:30, FromTheRafters wrote: >> WM presented the following explanation : > >>> Two points are next to each other means that no point is between them. >> >> So which point is next to zero. Is it rational, or is it irrational? > > That is unknown and will remain so forever because the point is dark with no > chance to get visible. There is a good chance however, that it is irrational > because there are many more irrational points than rational points. > >> In either case it is greater than zero and there is again more room for an >> even closer number. > > Dark numbers have no discernible order. Then they have no business being on the positive real line.