Path: ...!weretis.net!feeder8.news.weretis.net!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: Fri, 4 Oct 2024 20:34:43 +0200 Organization: A noiseless patient Spider Lines: 20 Message-ID: References: <2555906859e8d5836476a38f4fc437a67872f331@i2pn2.org> <534e5cd6b7a01203c28113337f108c745e57c6ae@i2pn2.org> <380cad54-83a7-4f20-976e-01d810d66c0a@att.net> <841bf27c18dffdc4ce0ea4d6392ccdfea2cef821@i2pn2.org> <461bf21a7f094701b936484f17bd3d68211fcf81@i2pn2.org> <5086a1e540cdfb8fd979d8eca95ab8123166bf54@i2pn2.org> <63b03cafeddb7c5485f1a863d629f56dd10c5bc1@i2pn2.org> <8d9d2296-ea12-4aa1-9e62-03828b3e516e@tha.de> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Fri, 04 Oct 2024 20:34:44 +0200 (CEST) Injection-Info: dont-email.me; posting-host="cd52098a363a32d965ffd9d5c2a12340"; logging-data="350200"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1+YWgWbtUVrCE2uIkKy52m30Tr+k96Ux+8=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:2rh2JlbqynhvDVLmToXO1MUEIi4= Content-Language: en-US In-Reply-To: Bytes: 2780 On 04.10.2024 17:10, joes wrote: > Am Fri, 04 Oct 2024 11:23:13 +0200 schrieb WM: >> On 04.10.2024 00:55, Richard Damon wrote: >>> On 10/3/24 2:34 PM, WM wrote: >>>> On 03.10.2024 01:03, Richard Damon wrote: >> >>>>> But that also means that no point are "next to" each other. >>>> Therefore NUF can increase at most by 1 at every real point. >>> Why? >> This is the precondition: The unit fractions are all existing! If so, >> then they are different fixed points on the positive real line above >> zero. Hence one is the first after zero. > What kind of fucked up condition is that? It doesn’t even make sense > for a UF to not exist. Learn what potential infinity is. Regards, WM