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Path: ...!news.mixmin.net!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.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: Sat, 14 Sep 2024 16:01:02 +0200 Organization: A noiseless patient Spider Lines: 12 Message-ID: <vc44uu$1gc40$1@dont-email.me> References: <vb4rde$22fb4$2@solani.org> <vbnuqq$2it4a$2@dont-email.me> <vbp9dk$2u3sh$1@dont-email.me> <vbq4ve$31fu6$10@dont-email.me> <fd09e9afa6b0c3041b90c5d788681bb2c92f9d2e@i2pn2.org> <vbs9v8$3l368$3@dont-email.me> <405557f7289631d63264c712d137244c940b9926@i2pn2.org> <vbsroa$3mvi7$2@dont-email.me> <vbt0fs$3pr1d$1@dont-email.me> <vbt15n$3qapk$1@dont-email.me> <btbO__HYVIMPfoOcmXp4_whV8-8@jntp> <vbums6$8kdn$1@dont-email.me> <vbv9i7$bpjh$2@dont-email.me> <13c08e96ad635f8142b38d89863a80caf17a32a8@i2pn2.org> <vc1mfe$u3ec$2@dont-email.me> <4faa63d0ff8c163f01a38736aeb5732184218a29@i2pn2.org> <vc1uu8$u3ec$9@dont-email.me> <vc2gfb$130uk$1@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Sat, 14 Sep 2024 16:01:02 +0200 (CEST) Injection-Info: dont-email.me; posting-host="0a44786590782c8c5480d243f1300b8d"; logging-data="1585280"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1+IkcV5orAJbZEzCUV6RIU5SBg9Dn01Zh0=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:QIE25oF7ycTELKv89ZJErqBvbhA= Content-Language: en-US In-Reply-To: <vc2gfb$130uk$1@dont-email.me> Bytes: 2017 On 14.09.2024 01:05, FromTheRafters wrote: > WM explained : >> No, that is your big mistake. In the interval [0, 1] there is a point >> next to 0 and a point next to 1, and infinitely many are beteen them. > > Define 'next' in this context. Two points are next to each other means that no point is between them. Regards, WM