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Path: ...!news.mixmin.net!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> Newsgroups: sci.math Subject: Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Date: Sun, 20 Oct 2024 12:57:57 -0700 Organization: A noiseless patient Spider Lines: 16 Message-ID: <vf3nc5$hre6$5@dont-email.me> References: <vb4rde$22fb4$2@solani.org> <2b6f9104-a927-49ee-9cf0-6ee3f82edc23@att.net> <verkkk$2r6kk$1@dont-email.me> <verlk6$4dv$1@news.muc.de> <vermdv$2s24h$1@dont-email.me> <verv6f$2oo0$1@news.muc.de> <e4d00f83-42df-4f14-a007-4a90f3b5d644@tha.de> <vf085m$1gf6$1@news.muc.de> <vf0cpf$3t4q1$1@dont-email.me> <vf0feo$2un7$1@news.muc.de> <vf0ovc$3v3cv$1@dont-email.me> <vf0qev$2fe9$1@news.muc.de> <47ada01f-e2a7-42e7-bb63-390a73412938@tha.de> <vf0tdu$2fe9$2@news.muc.de> <vf0vo9$6c6$2@dont-email.me> <vf148m$o0d$1@news.muc.de> <vf2bj3$ambv$1@dont-email.me> <28e5b8e6317491eed09526bb1abe5bed724d0569@i2pn2.org> <vf3ma1$hgts$3@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Sun, 20 Oct 2024 21:57:58 +0200 (CEST) Injection-Info: dont-email.me; posting-host="4348f2eaa7e685a949c1bfdab9f7454c"; logging-data="585158"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX18/Hst72VgZY3uo8u3BdXOmB6MQyFru40w=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:bzzasfXAYxbQexHBL16UTh2pop0= Content-Language: en-US In-Reply-To: <vf3ma1$hgts$3@dont-email.me> Bytes: 2204 On 10/20/2024 12:39 PM, WM wrote: > On 20.10.2024 21:30, Richard Damon wrote: > >> No, the alternative is that infinite sets work like infinite sets >> without an end, and that this means that some of the properties of >> finite sets don't hold for infinite sets. >> > When the density is reduced and the number remains the same, then the > size is increased. Not accepting this means violating mathematics. > > Regards, WM > Too much brain coolants? Wine perhaps? https://youtu.be/zXt56MB-3vc