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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: "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> Newsgroups: sci.logic,sci.math Subject: Re: Replacement of Cardinality Date: Sat, 10 Aug 2024 15:52:07 -0700 Organization: A noiseless patient Spider Lines: 36 Message-ID: <v98qum$ue8e$1@dont-email.me> References: <hsRF8g6ZiIZRPFaWbZaL2jR1IiU@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> <v93eud$9abg$1@dont-email.me> <d4dd199f-088e-4b0e-b40e-a0f2366731e7@att.net> <hsF1KQs0AQ1chexm5WbqhBC9qdw@jntp> <v98q85$ue8i$3@dont-email.me> <v98qmp$ul4b$1@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Sun, 11 Aug 2024 00:52:06 +0200 (CEST) Injection-Info: dont-email.me; posting-host="4a54933427a42d7629aa5812cc9a6647"; logging-data="997646"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX18ixf2kt/8cshEVb/834SeN0zZnlljIDfU=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:g8jq/ZIHfOZoNqoB30CoyHYCkNc= In-Reply-To: <v98qmp$ul4b$1@dont-email.me> Content-Language: en-US Bytes: 2370 On 8/10/2024 3:47 PM, Moebius wrote: > Am 11.08.2024 um 00:40 schrieb Chris M. Thomasson: >> On 8/10/2024 8:59 AM, WM wrote: > >>> The set of unit fractions has two ends, namely at 1 and before 0. >> >> They have no end > > Nope. They have an end at 1/1. Well, I needed to give more context. 1/1, in my mind makes me think of the first, or largest one so to speak. I think that the following is okay: there is a largest unit fraction. there is no smallest unit fraction. there is a smallest natural number. there is no largest natural number. > Hint: 1/1 is the largest/last unit fractions, Hence the (set of the) > unit fractions has an end, namely 1/1. > > Hope this helps. :-P Yeah. > > _______________________________ > > ... 1/3 < 1/2 < 1/1 << this is the end. > > See: https://www.youtube.com/watch?v=VScSEXRwUqQ