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Path: ...!weretis.net!feeder9.news.weretis.net!news.nk.ca!rocksolid2!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: Thu, 12 Sep 2024 08:29:19 -0400 Organization: i2pn2 (i2pn.org) Message-ID: <304a2ce3426bb0e518bc2cfff9dcb7f6e9440c1a@i2pn2.org> References: <vb4rde$22fb4$2@solani.org> <vbes57$qdqo$2@dont-email.me> <27b3b5e088d82d4475c68a64f50a4bccac9c6f29@i2pn2.org> <vbesjo$27gfe$1@solani.org> <vbf0s9$qp1j$3@dont-email.me> <vbfpf5$utdu$2@dont-email.me> <vbh5qe$19a45$1@dont-email.me> <vbhdf6$1btm1$1@dont-email.me> <vbhffg$1bi3l$3@dont-email.me> <035b16b56a204dfe5e561b3cfe03238167dba39a@i2pn2.org> <vbhiv7$1bi3k$1@dont-email.me> <vbhmj4$1cg6l$4@dont-email.me> <vbkttc$20uoj$3@dont-email.me> <vbl1nq$21t3j$3@dont-email.me> <vbmi4b$2ce0a$1@dont-email.me> <vbn0tb$2d8fc$6@dont-email.me> <vbn3eb$2em18$4@dont-email.me> <vbn45r$2d8fc$10@dont-email.me> <vbnfvo$2gn73$2@dont-email.me> <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> <0cf08c67524efb651d124a3cf0101e740bc0a5f7@i2pn2.org> <vbuj0f$7otn$1@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Thu, 12 Sep 2024 12:29:19 -0000 (UTC) Injection-Info: i2pn2.org; logging-data="1776782"; mail-complaints-to="usenet@i2pn2.org"; posting-account="diqKR1lalukngNWEqoq9/uFtbkm5U+w3w6FQ0yesrXg"; User-Agent: Mozilla Thunderbird X-Spam-Checker-Version: SpamAssassin 4.0.0 Content-Language: en-US In-Reply-To: <vbuj0f$7otn$1@dont-email.me> Bytes: 2920 Lines: 26 On 9/12/24 7:24 AM, WM wrote: > On 12.09.2024 03:04, Richard Damon wrote: >> On 9/11/24 3:40 PM, WM wrote: >> >>> Open intervals are intervals which have dark endpoints. Note that >>> between any pair of visible real numbers there are many dark real >>> numbers. > >> No, Open intervals are intervals that exclude the endpoint from the >> interval, and thus don't HAVE an "endpoint". > > Intervals consist of points. Where no point is, there is no interval. > Where an interval is, there is a point. The belif in an interval-end > without points is pure matheology. > > Regards, WM But there isn't a spot on the line without a "point", so there is no spot with "no point" Yes, it may be matheology, but that matheology is the only way to HAVE that line, Your "logic" just blew itself up when you went from a line with a finite number of descrete point, to being continous. Sorry, you are just too stupid to understand the limitiations of your logic,