Path: ...!feeds.phibee-telecom.net!3.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: Mon, 07 Oct 2024 06:22:46 -0400 Organization: Peripheral Visions Lines: 16 Message-ID: References: <8c94a117d7ddaba3e7858116dc5bc7c66a46c405@i2pn2.org> <8ce3fac3a0c92d85c72fec966d424548baebe5af@i2pn2.org> <55cbb075e2f793e3c52f55af73c82c61d2ce8d44@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: Mon, 07 Oct 2024 12:22:50 +0200 (CEST) Injection-Info: dont-email.me; posting-host="b3876a1dbbdf7ded9fa4ef710eda5d02"; logging-data="1773810"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX19Kbt5dMNqSEEZ3yTxmhi7VHMF17YZNFyQ=" Cancel-Lock: sha1:vYnRCCkTxJi5Awy9zBqL/aNv7Ug= X-ICQ: 1701145376 X-Newsreader: MesNews/1.08.06.00-gb Bytes: 2258 WM wrote : > On 07.10.2024 11:36, FromTheRafters wrote: >> WM formulated the question : >>> On 06.10.2024 19:03, FromTheRafters wrote: >>>> A set is a collection of well-defined objects, meaning we must be able to >>>> determine if an element belongs to a particulr set. >>> >>> But you can't determine the smallest unit fraction although it is a >>> singleton set, a point on the real axis. >> >> There is no smallest unit fraction. > > If there are only fixed points, then there is a point such that between it > and zero there is no further point. Non sequitur.