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: Sun, 29 Sep 2024 21:49:13 +0200 Organization: A noiseless patient Spider Lines: 10 Message-ID: References: <87jzfchnxc.fsf@bsb.me.uk> <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: 7bit Injection-Date: Sun, 29 Sep 2024 21:49:14 +0200 (CEST) Injection-Info: dont-email.me; posting-host="2e85079e58d159a05eb03b7aba9b0e69"; logging-data="1949165"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/Jbuo6bGbb/HjhabCW/a7QZUEAY116YMY=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:bb/3cAoiAzyyzzhJdJOj/9DDXhY= Content-Language: en-US In-Reply-To: Bytes: 2221 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. Regards, WM