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Path: ...!weretis.net!feeder8.news.weretis.net!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: FromTheRafters <FTR@nomail.afraid.org> Newsgroups: sci.math Subject: Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Date: Sat, 19 Oct 2024 10:09:24 -0400 Organization: Peripheral Visions Lines: 16 Message-ID: <vf0eir$3tkjp$1@dont-email.me> References: <vb4rde$22fb4$2@solani.org> <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$1@solani.org> <09d9f0df-b1bb-42a7-af9b-890bfbcfc581@att.net> <b0fa9a1c-8375-4523-a15e-65789688660e@tha.de> <3f63bc22-83b2-4d56-9837-849551170c77@att.net> <50ac7044-f8c1-47d9-947f-9fa6044e1848@tha.de> <68b8be64-7fe8-47e7-a991-7adf14713af5@att.net> <vejmkm$e069$1@solani.org> <eb21591a-a60a-4baf-bdbd-afef2a69c230@att.net> <vejte9$e3ds$1@solani.org> <53460f91-4542-4a92-bc4b-833c2ad61e52@att.net> <ventec$255vi$2@dont-email.me> <venunr$2533b$4@dont-email.me> <85cf251afab29f3d64d61a77dd728d0aebdaba96@i2pn2.org> <veoshk$2asur$2@dont-email.me> <6160c5b40650b2f1d6e03c082a4b8b2eac83d2aa@i2pn2.org> <verm26$2s66m$2@dont-email.me> <a91b3dff88d7ed17e3ddbb401547d2cd6ce69618@i2pn2.org> <vevtt6$3pi3s$4@dont-email.me> <bc68af08432288cad083e308e601a9200580d2ea@i2pn2.org> Reply-To: erratic.howard@gmail.com MIME-Version: 1.0 Content-Type: text/plain; charset="iso-8859-15"; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Sat, 19 Oct 2024 16:09:32 +0200 (CEST) Injection-Info: dont-email.me; posting-host="fc53af885f7ba9a0343781612740b9c9"; logging-data="4117113"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1+HleNuYO9bY+jfv4gZIzrrnjeSsdzYyVM=" Cancel-Lock: sha1:/SkhoIuHmiPjafBQDk0ZWnjG9uo= X-Newsreader: MesNews/1.08.06.00-gb X-ICQ: 1701145376 Bytes: 2634 joes wrote : > Am Sat, 19 Oct 2024 11:24:54 +0200 schrieb WM: >> On 18.10.2024 03:26, Richard Damon wrote: >>> On 10/17/24 2:46 PM, WM wrote: >>>> On 17.10.2024 02:18, Richard Damon wrote: >>>>> On 10/16/24 1:18 PM, WM wrote: > >>> It is proven that the set of Natural Numbers are closed under >>> multiplication. >> That is not the set but the potentially infinite collection of Peano >> numbers. > Same thing. The set of natural numbers is infinite, whether actual or > potential. What is a "collection"? It's one of his weasel words for insinuating 'potential infinity' where it does not belong.