Path: ...!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: Fri, 13 Sep 2024 20:05:59 +0200 Organization: A noiseless patient Spider Lines: 24 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: 8bit Injection-Date: Fri, 13 Sep 2024 20:06:00 +0200 (CEST) Injection-Info: dont-email.me; posting-host="d45c0c2404748b6f9889e48002be3555"; logging-data="986572"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/o+BKeOcCHiHRUEx4NzVYGKy0uqPpXzok=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:PosU9WtZI+6lXR+eVodHIbhdHvk= In-Reply-To: <4faa63d0ff8c163f01a38736aeb5732184218a29@i2pn2.org> Content-Language: en-US Bytes: 2527 On 13.09.2024 17:52, Richard Damon wrote: > On 9/13/24 11:41 AM, WM wrote: >> Between [0, 1] and (0, 1] there is nothing, there is not a spot or >> point of the interval. >> > But that doesn't mean there is a lowest most point in (0, 1] as any > point you might want to call it will have another point between  it and 0. I will not call any point but consider all points. There is no point smaller than all points in the open interval but a smallest one. Only 0 is smaller than all. > > Note, I said between the point your THINK is the first, there is no such > point, and thus you are agreeing to that fact. > > You can only have a first point in the open interval if the interval has > only a finite number of points, 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. Regards, WM