Path: ...!news.mixmin.net!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: WM 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: References: <405557f7289631d63264c712d137244c940b9926@i2pn2.org> <13c08e96ad635f8142b38d89863a80caf17a32a8@i2pn2.org> <4faa63d0ff8c163f01a38736aeb5732184218a29@i2pn2.org> 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: 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