Path: ...!eternal-september.org!feeder2.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: Moebius Newsgroups: sci.math Subject: Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Date: Wed, 30 Oct 2024 22:14:07 +0100 Organization: A noiseless patient Spider Lines: 15 Message-ID: References: <88e6a631-417a-4dd0-9443-a57116dcbd28@att.net> <7a1e34df-ffee-4d30-ae8c-2af5bcb1d932@att.net> <6a90a2e2-a4fa-4a8d-83e9-2e451fa8dd51@att.net> <0e5fb47d-60f7-42bb-beec-4a9661c807da@tha.de> Reply-To: invalid@example.invalid MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Wed, 30 Oct 2024 22:14:07 +0100 (CET) Injection-Info: dont-email.me; posting-host="fdaa24bb8ffa9c146356d5e1b8bc3fe2"; logging-data="2442616"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX18mJCTItLReNS8ssB/rp6wE" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:SXxWDwo0S6X8AnAqveLDPcuuKLk= In-Reply-To: Content-Language: de-DE Bytes: 2600 Am 30.10.2024 um 21:34 schrieb Chris M. Thomasson: > On 10/30/2024 1:19 PM, Moebius wrote: >> Mückenheim's great discovery is that the DISTANCE between two >> "adjacent" unit fractions is always > 0. Incredible! >> >> For absolutely no reason he now "thinks" that this fact implies a >> smallest unit fraction. :-) >> > We know that the unit fractions tend to zero but never equal it. So, WM > thinks well, the limit means finite? Or some shit like that? Humm... Yeah. He just can't comprehend the idea of infinitely many .