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Path: ...!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, 12 Oct 2024 16:07:44 -0400 Organization: Peripheral Visions Lines: 27 Message-ID: <veekuo$9vn6$1@dont-email.me> References: <vb4rde$22fb4$2@solani.org> <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> <ve6a23$19d5$3@news.muc.de> <ve6c3b$6esq$2@solani.org> <48b939c8a1dfbe9ea0f38dd276df4f31bbe17a1f@i2pn2.org> <vedtp9$67jl$1@dont-email.me> <7d31b6a003f7e2de41bf5b632db5547aefc345a5@i2pn2.org> <veegdp$93q7$2@dont-email.me> 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, 12 Oct 2024 22:07:53 +0200 (CEST) Injection-Info: dont-email.me; posting-host="9ec2ef788b9c7c9fb25a4f03b2028663"; logging-data="327398"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/Es8w0NdkTxIjTlofF5EIzhlGyj4WpEtw=" Cancel-Lock: sha1:wHhQuSWbHOyuVYl8Ircbe4eyf/A= X-Newsreader: MesNews/1.08.06.00-gb X-ICQ: 1701145376 Bytes: 2785 WM used his keyboard to write : > On 12.10.2024 16:55, Richard Damon wrote: >> On 10/12/24 9:32 AM, WM wrote: >>> On 10.10.2024 21:48, joes wrote: >>>> Am Wed, 09 Oct 2024 18:47:39 +0200 schrieb WM: >>> >>>>> Numbers multiplied by 2 do not remain unchanged. That is not intuition >>>>> but mathematics. >>>> They do, however, remain natural. >>> >>> They do not remain the same set as before. They cover more of the real >>> line. If they all are natnumbers, then there are more than at the outset. >>> That means potential infinity. If there are not more natumbers than at the >>> outset, then infinite numbers have been created. There is no way to avoid >>> one of these results. > >> No, they do not cover "more" of the line, as they still cover exactly >> Aleph_0 point within the range of the finite numbers below omega. > > Wrong. >> >> The problem is you are applying properties of FINITE sets > > Wrong, I use properties of finite numbers. Wrong, you disbelieve (when it suits you) the idea of cardinality. How is that 'using the properties'?