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: Mon, 9 Sep 2024 16:57:00 +0200 Organization: A noiseless patient Spider Lines: 14 Message-ID: References: <7e1e3f62-1fba-4484-8e34-6ff8f1e54625@att.net> <06ee7920-eff2-4687-be98-67a89b301c93@att.net> <38ypmjbnu3EfnKYR4tSIu-WavbA@jntp> <34e11216-439f-4b11-bdff-1a252ac98f8f@att.net> <27b3b5e088d82d4475c68a64f50a4bccac9c6f29@i2pn2.org> <9eeba8a5041ce7ee48e5019d9e98d4ea38a1eb72@i2pn2.org> <89ed6d8de6c20d65e869d384181b642309f63bc4@i2pn2.org> <937a4a53c27b209538bb77bfe8059a90cc70ee9e@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Mon, 09 Sep 2024 16:57:00 +0200 (CEST) Injection-Info: dont-email.me; posting-host="cd14fc04a24dd051d3dbc2b7b6e5cc4c"; logging-data="2578472"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX19KmJsbIRsZBSH4/WIVHavEO8IfX6Hubek=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:vUN7WaNu6gX7jcLXKJbaC1EGDbA= In-Reply-To: Content-Language: en-US Bytes: 2488 On 09.09.2024 13:46, joes wrote: > Am Mon, 09 Sep 2024 12:22:21 +0200 schrieb WM: >> ℵo unit fractions cannot fit into one of the ℵo intervals between two of >> them, because ℵo unit fractions occupy ℵo intervals. > What? It’s about the size, not the number of intervals. One of ℵo intervals is smaller than ℵo intervals. Unit fractions are real points on the real line. Therefore there is a beginning, one or more smallest unit fractions. Regards, WM