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Path: 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: Mon, 19 Aug 2024 13:12:34 -0700 Organization: A noiseless patient Spider Lines: 13 Message-ID: <va08vh$30ha0$4@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> <4ZkUiiIjjYEeLEZ1SDd23D_M54Q@jntp> <e4a1cde644d87088d5f9f8bafb5b234ac92c8f49@i2pn2.org> <U6c7wst8z7zdv6NRuKpGdzT1wJg@jntp> <29a08ef7634965dd6cdb61bf3310f2b965a9057e@i2pn2.org> <SrXZwY8I_oz6-SQsBtVNMu84QZs@jntp> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Mon, 19 Aug 2024 22:12:34 +0200 (CEST) Injection-Info: dont-email.me; posting-host="6efd8b5fa0a0bd57c78076782c4b1411"; logging-data="3163456"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX18TxoaLXwsvZ7ATl3x7GOwYq2CXOaM7028=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:eHbtPGq6CifRznufRAMin390Vx0= In-Reply-To: <SrXZwY8I_oz6-SQsBtVNMu84QZs@jntp> Content-Language: en-US On 8/19/2024 4:54 AM, WM wrote: > Le 18/08/2024 à 10:16, joes a écrit : >> Am Sat, 17 Aug 2024 13:42:03 +0000 schrieb WM: > >>> Try to choose an eps smaller infinitely many unit fractions. Fail. >> Why should it be possible? > > Because when infinitely many exist, then also finitely many must exist - > according to logic and mathematics: ∀n ∈ ℕ: 1/n - 1/(n+1) > 0 . > Everything else is the superstition of matheologians. Sigh