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Path: ...!news.nobody.at!weretis.net!feeder8.news.weretis.net!reader5.news.weretis.net!news.solani.org!.POSTED!not-for-mail From: WM <wolfgang.mueckenheim@tha.de> Newsgroups: sci.math Subject: Re: How many different unit fractions are lessorequal than all unit fractions? Date: Mon, 7 Oct 2024 11:51:43 +0200 Message-ID: <ve0avf$3q71$1@solani.org> References: <vb4rde$22fb4$2@solani.org> <vdpbuv$alvo$1@dont-email.me> <8c94a117d7ddaba3e7858116dc5bc7c66a46c405@i2pn2.org> <vdqttc$mnhd$1@dont-email.me> <vdr1g3$n3li$6@dont-email.me> <8ce3fac3a0c92d85c72fec966d424548baebe5af@i2pn2.org> <vdrd5q$sn2$2@news.muc.de> <55cbb075e2f793e3c52f55af73c82c61d2ce8d44@i2pn2.org> <vdrgka$sn2$3@news.muc.de> <vds38v$1ih6$6@solani.org> <vdscnj$235p$1@news.muc.de> <vdtt15$16hg6$4@dont-email.me> <vdu54i$271t$1@news.muc.de> <vduata$19d4m$1@dont-email.me> <vduf0m$1tif$1@news.muc.de> <vdufu0$1a71q$1@dont-email.me> <ve07ca$1kopi$3@dont-email.me> <ve0a35$1lnvn$1@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Mon, 7 Oct 2024 09:51:43 -0000 (UTC) Injection-Info: solani.org; logging-data="125153"; mail-complaints-to="abuse@news.solani.org" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:JtwBxIN4jC7N/u1GE1EQXCPn4Ik= X-User-ID: eJwNyMkBwCAIBMCWuBbZchSl/xKSeQ48NXtFIgODeWGtrHSLgbTWWcpzO/cmCYRZ5RM/RWx5soyX9refafX7AS9lFHw= In-Reply-To: <ve0a35$1lnvn$1@dont-email.me> Content-Language: en-US Bytes: 2104 Lines: 15 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. Regards, WM