Path: ...!feeds.phibee-telecom.net!3.eu.feeder.erje.net!feeder.erje.net!eternal-september.org!feeder3.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? Date: Thu, 19 Sep 2024 02:17:27 +0200 Organization: A noiseless patient Spider Lines: 30 Message-ID: References: <405557f7289631d63264c712d137244c940b9926@i2pn2.org> <13c08e96ad635f8142b38d89863a80caf17a32a8@i2pn2.org> <4faa63d0ff8c163f01a38736aeb5732184218a29@i2pn2.org> <87jzfchnxc.fsf@bsb.me.uk> <4b617ec8573746a45483060acdd082653f14fda5@i2pn2.org> Reply-To: invalid@example.invalid MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Thu, 19 Sep 2024 02:17:27 +0200 (CEST) Injection-Info: dont-email.me; posting-host="bd91a57a63e57673b52e6c11b899002a"; logging-data="283939"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX19wvEU0l8LF8a8gp6oNStex" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:oYfi6ucOXt6rQGF4iulIjVVC6E8= Content-Language: de-DE In-Reply-To: Bytes: 3062 Am 18.09.2024 um 22:49 schrieb Moebius: > Am 18.09.2024 um 21:35 schrieb Chris M. Thomasson: >> On 9/18/2024 5:44 AM, WM wrote: >>> On 16.09.2024 03:16, Richard Damon wrote: >>>> On 9/15/24 3:39 PM, WM wrote: >>>>> On 15.09.2024 18:38, Ben Bacarisse wrote: >>>>> >>>>>> It might be worth pointing out that any non-trivial interval [a, >>>>>> b] on >>>>>> the real line (i.e. with b > a) contains an uncountable number of >>>>>> points. >>>>> >>>>> That proves that small intervals cannot be defined (they are dark). >>>> >>>> But arbirary small intervals CAN be defined. >>>> >>>> Try to name one that can't. >>> >>> Define an interval comprising 9182024 points, starting at zero. > > Mückenheim, Du bist wirklich der größte Spinner unter der Sonne! > > Hint: The IS NO "interval comprising 9182024 points", hence NOTHING TO > DEFINE HERE, you silly crank. WE: "We can define any triangle we want." WM: "Define a triangle with four corners." *sigh*