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Path: ...!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.math Subject: Re: Replacement of Cardinality Date: Wed, 28 Aug 2024 12:10:26 -0700 Organization: A noiseless patient Spider Lines: 18 Message-ID: <vansn2$3j1oq$3@dont-email.me> References: <hsRF8g6ZiIZRPFaWbZaL2jR1IiU@jntp> <db885c7c1e1a5bfdf60e90fa9882bfb73b4e6ce7@i2pn2.org> <eY2Memk56jLKsrTeR3kBDQQqfHI@jntp> <bdfbb725-7fc3-4e17-b09b-4d6191d301a5@att.net> <tvUGDEKZBjBIOn4R0HIJvG5es4k@jntp> <val92g$33pkn$1@dont-email.me> <val9hk$33mgs$1@dont-email.me> <GknMvtkLnWBwOVHuwhpOvuPVwIg@jntp> <5d289c3ad609a69bad184ed6c95fbedc401f0189@i2pn2.org> <van69b$3fpfi$1@dont-email.me> <dyeY8rd2o9vs021HNxZ7wfjDkq4@jntp> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Wed, 28 Aug 2024 21:10:27 +0200 (CEST) Injection-Info: dont-email.me; posting-host="2c8646cb91d7ff00a258e5443d55288c"; logging-data="3770138"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX19qfMfir3nlT7DM5AAjOSF95zYxsKEPsfE=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:eqGYzo+vLh1WHItOzWV5iMHd0UY= Content-Language: en-US In-Reply-To: <dyeY8rd2o9vs021HNxZ7wfjDkq4@jntp> Bytes: 1956 On 8/28/2024 6:11 AM, WM wrote: > Le 28/08/2024 à 14:47, Moebius a écrit : >> Am 28.08.2024 um 06:20 schrieb joes: > >>> „Sufficient” meaning „not infinitesimal”. >> >> Right. After all, each and every _real_ number x > 0 is "sufficiently >> large". > > Wrong. "Sufficient" means that ℵo non-empty finite gaps between unit > fractions fit into the interval. One gap already is larger some x > 0. > Why do you think that ℵo non-empty finite gaps are smaller than every x > > 0? WM = Dipshiticus Moronicuss = WM ?