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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: Sat, 31 Aug 2024 19:56:16 -0700 Organization: A noiseless patient Spider Lines: 32 Message-ID: <vb0l4g$1bv4g$2@dont-email.me> References: <hsRF8g6ZiIZRPFaWbZaL2jR1IiU@jntp> <db885c7c1e1a5bfdf60e90fa9882bfb73b4e6ce7@i2pn2.org> <eY2Memk56jLKsrTeR3kBDQQqfHI@jntp> <bdfbb725-7fc3-4e17-b09b-4d6191d301a5@att.net> <tvUGDEKZBjBIOn4R0HIJvG5es4k@jntp> <d921df64d59a0bcdd17b4df10452e1b80df52a63@i2pn2.org> <bzKSpxSf9uNp5CqHyyYXjN1qFJg@jntp> <eca2fc989ec057bba94c874e86af6e33d8987f89@i2pn2.org> <dbDJOjuZlR22ACs9b5j_GQZcXac@jntp> <vaqg0e$2r8p$3@dont-email.me> <b2vtJ9qNt-ZZ4HcdVjYZeX0tOnI@jntp> <vat5ub$k5je$1@dont-email.me> <vat65b$k5jd$1@dont-email.me> <vb08r5$16m2f$1@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Sun, 01 Sep 2024 04:56:17 +0200 (CEST) Injection-Info: dont-email.me; posting-host="c1e49c322955d749858c780541ab0a9a"; logging-data="1440912"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX181Mwwvo5Eu2XloGXVvwgB9C7jbxzLj8PI=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:vhCbRhVK5ud+moh951Y4uVyW1Ek= Content-Language: en-US In-Reply-To: <vb08r5$16m2f$1@dont-email.me> Bytes: 2367 On 8/31/2024 4:26 PM, Moebius wrote: > Am 30.08.2024 um 21:22 schrieb Chris M. Thomasson: >> On 8/30/2024 12:18 PM, Chris M. Thomasson wrote: > >>>> 0 lies below the end. Hence there is an end, even if you cannot see it. >>> >>> 1/0 is NOT a unit fraction damn it! wow. > >> We can all see 0. > > Can we? We can see the symbol used to represent zero? ;^) > >> But its not a unit fraction. If it was, then 1/0 would be defined as a >> unit fraction, but > > You are mixing up things here. > > Right 0 is not a unit fraction. > > On the other hand, if s is a unit fraction, then 1/s is a natural number > (and vice versa). > > "1/0" doesn't denote a real number. (Usually it's not even a defined term.) > > In general we have for natural numbers n,m: n < m -> 1/n > 1/m. >