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 20:49:27 +0200 Organization: A noiseless patient Spider Lines: 15 Message-ID: References: <5d8b4ac0-3060-40df-8534-3e04bb77c12d@att.net> <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> <035b16b56a204dfe5e561b3cfe03238167dba39a@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 20:49:28 +0200 (CEST) Injection-Info: dont-email.me; posting-host="837f2c3dc4aadf987ea763493f18ad66"; logging-data="2645219"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX18jciKqtJXRVIEfL63pSEIUKQ1K2qGmK54=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:lF7lOqTOUHLvP66zBBSj2bu37ME= In-Reply-To: Content-Language: en-US Bytes: 2612 On 09.09.2024 17:27, Python wrote: > Le 09/09/2024 à 17:15, Prof. Dr. Mückenheim, aka WM a écrit : >> On 09.09.2024 16:32, Python wrote: >>> Le 09/09/2024 à 12:19, Prof. Dr. Mückenheim, aka WM a écrit : > 1/n is not in (0, x). Sure. So what? Nevertheless there are Aleph_0 unit > fractions in (0, x). No need for 1/n to be there, there far enough other > fractions. > If you cannot understand mathematics consider the simplest logic: If a sequence of different real points exists on the positive real axis, then it has a beginning. Otherwise it could be a cloud but not a sequence. Regards, WM