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Path: ...!news.mixmin.net!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: FromTheRafters <FTR@nomail.afraid.org> Newsgroups: sci.logic,sci.math Subject: Re: Replacement of Cardinality Date: Thu, 08 Aug 2024 17:56:23 -0400 Organization: Peripheral Visions Lines: 18 Message-ID: <v93eud$9abg$1@dont-email.me> References: <hsRF8g6ZiIZRPFaWbZaL2jR1IiU@jntp> <IzWzFdkkm97GEXyAioF3IpRiSfI@jntp> <42d2b329-5394-47e0-b8c9-098908b2e9a8@att.net> <__cCn6h6Ey1Kz0BrIf6EShypg4M@jntp> <e8a3a66a-7d83-4658-9f4c-23d7dc354fb9@att.net> <iqelfxYKWhBbwcm10DcO5hr3scI@jntp> <f920592b-897c-48b9-a9af-80f25bc60e4b@att.net> <DDPks1ynTy6IhIWNHaxt25GM1v0@jntp> <c1f0efc8-04ca-4f2d-9820-cfd54c0eca73@att.net> <v90rp5$3dbpd$1@dont-email.me> <L8Pl0ELcnLfKVO0KrMmhSqDd-Y0@jntp> <v926ot$3tjq6$1@dont-email.me> <v93a8c$7o8h$1@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: Thu, 08 Aug 2024 23:56:30 +0200 (CEST) Injection-Info: dont-email.me; posting-host="44f82c6084f710fd056d906346bbb364"; logging-data="305520"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX18xIisF1gBMlVcoAekogB+EGSpWAsXIPzk=" Cancel-Lock: sha1:9SHTRiPMuSc7m9kTTb/9d2PwuRw= X-Newsreader: MesNews/1.08.06.00-gb X-ICQ: 1701145376 Bytes: 2135 Chris M. Thomasson has brought this to us : > On 8/8/2024 3:30 AM, FromTheRafters wrote: >> on 8/8/2024, WM supposed : >>> Le 08/08/2024 à 00:17, Moebius a écrit : >>> >>>> Actually, his "thinking process" is simple: >>>> >>>> "Since there is a gap (space) between adjacent unit fractions and all >>>> unit fractions are in the interval (0, 1], there must be FINITELY MANY of >>>> them (i.e. a first/smallest one)." >>> >>> No, that is nonsense. There are not finitely many unit fractions. >> >> Then stop assuming that there is a first and last element. > > The first unit fraction is 1/1, there is no last one... .... or there is a last one but no first one.