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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: Thu, 15 Aug 2024 16:05:03 -0700 Organization: A noiseless patient Spider Lines: 18 Message-ID: <v9m1j1$14e6v$2@dont-email.me> References: <hsRF8g6ZiIZRPFaWbZaL2jR1IiU@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$2@dont-email.me> <6a761915-99c8-4203-a32d-d8158989a951@att.net> <Y8rRRDDal13P7xQh_P9SEPM5CYg@jntp> <v9iuuq$iiv3$1@dont-email.me> <XN_J9y_I1T03twsDf3EGGwcYpTo@jntp> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Fri, 16 Aug 2024 01:05:05 +0200 (CEST) Injection-Info: dont-email.me; posting-host="8b28403f99ffa92bcc2694c54178d92d"; logging-data="1194207"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX18yJwnGkPWztTlJr+WnTspTpT76jeOQsic=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:CfK4U7W9NWWn7jGgWkpqoa/hINM= In-Reply-To: <XN_J9y_I1T03twsDf3EGGwcYpTo@jntp> Content-Language: en-US Bytes: 2113 On 8/15/2024 6:57 AM, WM wrote: > Le 14/08/2024 à 21:01, "Chris M. Thomasson" a écrit : >> On 8/14/2024 5:28 AM, WM wrote: > >>> 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, > > There is a smallest one because all are separated: > > ∀n ∈ ℕ: 1/n - 1/(n+1) > 0 My god.... There is no smallest unit fraction! They get closer and closer to zero, but no unit fraction ever equals zero and there are infinitely many of them... Got it? WOW!!! You should be ashamed of yourself for teaching the crap to students. just, holy shit, wow!