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Path: ...!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? (infinitary) Date: Thu, 10 Oct 2024 20:12:56 +0200 Organization: A noiseless patient Spider Lines: 16 Message-ID: <ve95f8$38m5j$2@dont-email.me> References: <vb4rde$22fb4$2@solani.org> <vdto2k$1jte$1@news.muc.de> <vdu4mt$18h8h$1@dont-email.me> <vdu874$271t$2@news.muc.de> <vdua6f$18vqi$2@dont-email.me> <vdubg3$24me$1@news.muc.de> <4bc3b086-247a-4547-89cc-1d47f502659d@tha.de> <ve0n4i$1vps$1@news.muc.de> <ve10qb$1p7ge$1@dont-email.me> <ve117p$vob$1@news.muc.de> <ve315q$24f8f$3@dont-email.me> <ve46vu$324$2@news.muc.de> <ve5u2i$2jobg$4@dont-email.me> <ve6329$19d5$1@news.muc.de> <ve64kl$2m0nm$4@dont-email.me> <ve66f3$19d5$2@news.muc.de> <ve683o$6c2o$1@solani.org> <4dd0fdc7bacdf96058061fc0b48486eb57a613a2@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Thu, 10 Oct 2024 20:12:56 +0200 (CEST) Injection-Info: dont-email.me; posting-host="5a3097e3986a32338a92b2aee4985ff2"; logging-data="3430579"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1+TvhtBxSBl8P7RCzIiOS8KKB+38nMyfNA=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:HG9QDwP5SH5u30HlGO2kjZC/5Uw= In-Reply-To: <4dd0fdc7bacdf96058061fc0b48486eb57a613a2@i2pn2.org> Content-Language: en-US Bytes: 2182 On 09.10.2024 19:40, joes wrote: > Am Wed, 09 Oct 2024 17:39:36 +0200 schrieb WM: >> But those endsegments which have lost only finitely many numbers >> and yet contain infinitely many, have an infinite intersection. > Not what we are discussing. It is claimed that all endsegments are infinite, hence have lost only finitely many numbers as indices, but have an empty intersection. > So, for an infinite number of infinite sets infinitely many numbers > have been "lost", leaving nothing. True. Therefore not all endsegments are infinity. Regards, WM