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Path: ...!weretis.net!feeder9.news.weretis.net!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? (infinitary) Date: Tue, 8 Oct 2024 14:01:25 -0400 Organization: i2pn2 (i2pn.org) Message-ID: <9e676dcc6d45fceae8c10f0c7addce0a59381283@i2pn2.org> References: <vb4rde$22fb4$2@solani.org> <vdqttc$mnhd$1@dont-email.me> <vdr1g3$n3li$6@dont-email.me> <8ce3fac3a0c92d85c72fec966d424548baebe5af@i2pn2.org> <vdrd5q$sn2$2@news.muc.de> <55cbb075e2f793e3c52f55af73c82c61d2ce8d44@i2pn2.org> <vdrgka$sn2$3@news.muc.de> <vds38v$1ih6$6@solani.org> <vdscnj$235p$1@news.muc.de> <RJKcnSeCMNokRpz6nZ2dnZfqnPadnZ2d@giganews.com> <vdto2k$1jte$1@news.muc.de> <vdu4mt$18h8h$1@dont-email.me> <vdu874$271t$2@news.muc.de> <vdua6f$18vqi$2@dont-email.me> <05a3027798506434bf2f30b527e0f57d300e76c3@i2pn2.org> <ve0570$1kqpu$2@dont-email.me> <6f188d193341a3862f4c788a44dff3dfb27fb6bd@i2pn2.org> <81f6f0271a53803c0bf79be304ce2484e33aecda@i2pn2.org> <ve1g7e$1r205$3@dont-email.me> <9c40b18616ae46bd3220da775ee80456b643c982@i2pn2.org> <ve1uv0$1tbus$3@dont-email.me> <ve2n02$23ume$3@dont-email.me> <ve2n34$23ume$4@dont-email.me> <ve3014$24i4i$4@dont-email.me> <50b4ecf5c6f8f0c7bd580775c382896660500045@i2pn2.org> <ve3jef$27hfk$5@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Tue, 8 Oct 2024 18:01:25 -0000 (UTC) Injection-Info: i2pn2.org; logging-data="1143189"; mail-complaints-to="usenet@i2pn2.org"; posting-account="diqKR1lalukngNWEqoq9/uFtbkm5U+w3w6FQ0yesrXg"; User-Agent: Mozilla Thunderbird X-Spam-Checker-Version: SpamAssassin 4.0.0 In-Reply-To: <ve3jef$27hfk$5@dont-email.me> Content-Language: en-US Bytes: 2850 Lines: 26 On 10/8/24 11:34 AM, WM wrote: > On 08.10.2024 15:36, Richard Damon wrote: >> On 10/8/24 6:03 AM, WM wrote: >>> On 08.10.2024 09:30, Moebius wrote: >>>> Am 08.10.2024 um 09:29 schrieb Moebius: >>> >>>>> Properly understood, the idea of a completed infinity is no longer >>>>> a problem in mathematics or philosophy. It is perfectly >>>>> intelligible and coherent. >>> >>> Yes, but it is completed and therefore fixed. The number of nines in >>> 0.999... does not change when shifted by one step. >>> >> But it must be infinite, and thus not have an "end" > > But it must be complete and therefore in linear order must have an end. > > Regards, WM > And then it isn't infinte. Seems you don't understand the problem with "completed infinity" that being infinite, it can't be actually fully understood by the finite. Having linear order does not imply having an end, unless you can assume a finiteness.