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Path: ...!news.mixmin.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: Wed, 14 Aug 2024 12:01:45 -0700 Organization: A noiseless patient Spider Lines: 17 Message-ID: <v9iuuq$iiv3$1@dont-email.me> References: <hsRF8g6ZiIZRPFaWbZaL2jR1IiU@jntp> <7490d737-bfd0-431e-862b-2f06ead37c90@att.net> <RK4S1_zM8dN3ZmqNitRSqU5p6Tc@jntp> <86b4ae54-b252-49b4-a835-b701ec1bacdf@att.net> <bXKL28bHgeFdCk5SZY53YFgJJUs@jntp> <7283ed38-26be-4ded-9dc1-ba879c881fe8@att.net> <nrBsep-L2K1nhRzOO5WLsFEZwXQ@jntp> <371fbe77-947b-4316-af06-30cdcdb5f29b@att.net> <v9g21a$3ukkk$2@dont-email.me> <6a761915-99c8-4203-a32d-d8158989a951@att.net> <Y8rRRDDal13P7xQh_P9SEPM5CYg@jntp> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Wed, 14 Aug 2024 21:01:46 +0200 (CEST) Injection-Info: dont-email.me; posting-host="5e373de7d69e38bc3cda1b9f3ac26aad"; logging-data="609251"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/dO+Z1vWNP9qoD3cqymr/n3cW3/Gho854=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:mY7v7WXPKk26+WmDxZkJH9bdM+4= Content-Language: en-US In-Reply-To: <Y8rRRDDal13P7xQh_P9SEPM5CYg@jntp> Bytes: 2015 On 8/14/2024 5:28 AM, WM wrote: > Le 13/08/2024 à 19:42, Jim Burns a écrit : >> On 8/13/2024 12:35 PM, Moebius wrote: > >> The existence of the smallest unit fractions >> is contradictory in the land of >> rationals with >> countable.to numerators and denominators >> with each split situated == >> a last point in the foresplit or >> a first point in the hindsplit. > > The existence of a smallest unit fraction is the only alternative to the > existence of more than one at a real point. There is no smallest unit fraction, DAMN IT!!! :^)