Path: ...!feeds.phibee-telecom.net!news.mixmin.net!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: "Chris M. Thomasson" Newsgroups: sci.math Subject: Re: How many different unit fractions are lessorequal than all unit fractions? Date: Mon, 30 Sep 2024 16:59:48 -0700 Organization: A noiseless patient Spider Lines: 17 Message-ID: References: <4b617ec8573746a45483060acdd082653f14fda5@i2pn2.org> <890ae313-aa9b-4f49-a53a-2374c9957f01@tha.de> <2555906859e8d5836476a38f4fc437a67872f331@i2pn2.org> <534e5cd6b7a01203c28113337f108c745e57c6ae@i2pn2.org> <380cad54-83a7-4f20-976e-01d810d66c0a@att.net> <841bf27c18dffdc4ce0ea4d6392ccdfea2cef821@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Tue, 01 Oct 2024 01:59:49 +0200 (CEST) Injection-Info: dont-email.me; posting-host="a74435bdc195ce36e872655af29d8226"; logging-data="2561513"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX192fM02gbOgzZSSEArHK+cqH4iWBxjCrU8=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:+jfO/LX4SpPktsI8YKAi97LnLPA= Content-Language: en-US In-Reply-To: Bytes: 2561 On 9/30/2024 8:15 AM, WM wrote: > On 30.09.2024 00:29, FromTheRafters wrote: >> WM explained on 9/29/2024 : >>> On 28.09.2024 00:08, FromTheRafters wrote: >>>  > WM presented the following explanation : >>> >>>  >> Between two unit fractions there is always a finite gap. >>>  > >>>  > How big? >>> >>> In terms of set theory: uncountably many points. >> >> How wide are these points? > > More than nothing. How? A point is just a location. It has no radii attached to it.