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Path: ...!2.eu.feeder.erje.net!feeder.erje.net!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: WM <wolfgang.mueckenheim@tha.de> Newsgroups: sci.math Subject: Re: How many different unit fractions are lessorequal than all unit fractions? Date: Thu, 19 Sep 2024 14:55:01 +0200 Organization: A noiseless patient Spider Lines: 30 Message-ID: <vch6v4$ip4a$1@dont-email.me> References: <vb4rde$22fb4$2@solani.org> <vbnuqq$2it4a$2@dont-email.me> <vbp9dk$2u3sh$1@dont-email.me> <vbq4ve$31fu6$10@dont-email.me> <fd09e9afa6b0c3041b90c5d788681bb2c92f9d2e@i2pn2.org> <vbs9v8$3l368$3@dont-email.me> <405557f7289631d63264c712d137244c940b9926@i2pn2.org> <vbsroa$3mvi7$2@dont-email.me> <vbt0fs$3pr1d$1@dont-email.me> <vbt15n$3qapk$1@dont-email.me> <btbO__HYVIMPfoOcmXp4_whV8-8@jntp> <vbums6$8kdn$1@dont-email.me> <vbv9i7$bpjh$2@dont-email.me> <13c08e96ad635f8142b38d89863a80caf17a32a8@i2pn2.org> <vc1mfe$u3ec$2@dont-email.me> <4faa63d0ff8c163f01a38736aeb5732184218a29@i2pn2.org> <vc1uu8$u3ec$9@dont-email.me> <vc2gfb$130uk$1@dont-email.me> <vc44uu$1gc40$1@dont-email.me> <c94d6140f000f75c5e95e1acc785ebff9894a18b@i2pn2.org> <vc58cf$1o4dp$3@dont-email.me> <87jzfchnxc.fsf@bsb.me.uk> <vc7d61$2b1ga$1@dont-email.me> <4b617ec8573746a45483060acdd082653f14fda5@i2pn2.org> <vcehvl$2bop$1@dont-email.me> <vcfa23$67rd$3@dont-email.me> <vcfecj$6tlb$1@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Thu, 19 Sep 2024 14:55:00 +0200 (CEST) Injection-Info: dont-email.me; posting-host="c9eccf8fbeb1de895a1202f1e5c01e96"; logging-data="615562"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1+bz9a1vEzt/LqBYTFhfASlKOwnGi5465M=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:gpGa55Q1ohMd4HDDknRebyOcdzA= Content-Language: en-US In-Reply-To: <vcfecj$6tlb$1@dont-email.me> Bytes: 2954 On 18.09.2024 22:49, Moebius wrote: > 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 arbitrary small intervals CAN be defined. >>>> >>>> Try to name one that can't. >>> >>> Define an interval comprising 9182024 points, starting at zero. > > There IS NO "interval comprising 9182024 points", hence NOTHING TO > DEFINE HERE, How can infinitely many points be accumulated without a first one? This belief proves that matheology is mistaken. Regards, WM