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Path: news.eternal-september.org!eternal-september.org!news.eternal-september.org!feeder3.eternal-september.org!i2pn.org!i2pn2.org!.POSTED!not-for-mail From: Richard Damon <richard@damon-family.org> Newsgroups: sci.math Subject: Re: How many different unit fractions are lessorequal than all unit fractions? Date: Mon, 30 Sep 2024 19:14:35 -0400 Organization: i2pn2 (i2pn.org) Message-ID: <c23e4e3d9dfa7eade32142279e48303fe9f65539@i2pn2.org> References: <vb4rde$22fb4$2@solani.org> <vc7d61$2b1ga$1@dont-email.me> <4b617ec8573746a45483060acdd082653f14fda5@i2pn2.org> <vcehvl$2bop$1@dont-email.me> <vcfa23$67rd$3@dont-email.me> <vcfecj$6tlb$1@dont-email.me> <vch6v4$ip4a$1@dont-email.me> <vcht5k$mane$3@dont-email.me> <vci45p$n9ue$1@dont-email.me> <vckf64$1709n$5@dont-email.me> <c35b04a7d6ec19c5db1f9c5aba592f2614e09c9d@i2pn2.org> <890ae313-aa9b-4f49-a53a-2374c9957f01@tha.de> <2555906859e8d5836476a38f4fc437a67872f331@i2pn2.org> <vcp626$278um$5@dont-email.me> <534e5cd6b7a01203c28113337f108c745e57c6ae@i2pn2.org> <380cad54-83a7-4f20-976e-01d810d66c0a@att.net> <vcv4om$3a5lv$11@dont-email.me> <841bf27c18dffdc4ce0ea4d6392ccdfea2cef821@i2pn2.org> <vd19tt$3njbp$2@dont-email.me> <ac38f4a3b6d76f28c3acfec07c223f7a602b34f3@i2pn2.org> <vd1f6u$3od5s$6@dont-email.me> <f347fb8c-c754-4b7e-8e2e-b62135a9d351@tha.de> <vd7ad6$sv60$1@dont-email.me> <vdcavq$1rffd$4@dont-email.me> <vdckd8$1tg01$1@dont-email.me> <vdefaq$29746$4@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Mon, 30 Sep 2024 23:14:36 -0000 (UTC) Injection-Info: i2pn2.org; logging-data="18682"; mail-complaints-to="usenet@i2pn2.org"; posting-account="diqKR1lalukngNWEqoq9/uFtbkm5U+w3w6FQ0yesrXg"; User-Agent: Mozilla Thunderbird In-Reply-To: <vdefaq$29746$4@dont-email.me> Content-Language: en-US X-Spam-Checker-Version: SpamAssassin 4.0.0 On 9/30/24 11:15 AM, WM wrote: > On 30.09.2024 00:29, FromTheRafters wrote: >> WM explained on 9/29/2024 : >>> On 28.09.2024 00:08, FromTheRafters wrote: >>> > WM presented the following explanation : >>> >>> >> Between two unit fractions there is always a finite gap. >>> > >>> > How big? >>> >>> In terms of set theory: uncountably many points. >> >> How wide are these points? > > More than nothing. > > Regards, WM > But it must be next to nothing, which becomes nothing when we get to the actual infinite set. Sorry, your logi is just broken.