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Path: ...!eternal-september.org!feeder3.eternal-september.org!weretis.net!feeder8.news.weretis.net!reader5.news.weretis.net!news.solani.org!.POSTED!not-for-mail From: WM <wolfgang.mueckenheim@tha.de> Newsgroups: sci.math Subject: Re: Replacement of Cardinality Date: Mon, 2 Sep 2024 18:56:37 +0200 Message-ID: <vb4qo5$22fb4$1@solani.org> 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> <vb08e8$16m2g$1@dont-email.me> <vb0l0r$1bv4g$1@dont-email.me> <vb0mv2$1c4hh$1@dont-email.me> <vb2e67$1jf12$1@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Mon, 2 Sep 2024 16:56:37 -0000 (UTC) Injection-Info: solani.org; logging-data="2178404"; mail-complaints-to="abuse@news.solani.org" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:XOPSz2p2Rnv0hT6jA7KxsMZFdJM= Content-Language: en-US X-User-ID: eJwFwYkRwDAIA7CVEh4D4/QcvP8IldJxwQokIpWKHnCfDkpcIx6kOAY1x+ZD9lJjtytOb7XTykObcML4A172FWM= In-Reply-To: <vb2e67$1jf12$1@dont-email.me> Bytes: 2159 Lines: 16 On 01.09.2024 21:09, Chris M. Thomasson wrote: > On 8/31/2024 8:27 PM, Moebius wrote: >> In general, for all x e IR, x > 0: NUF(x) = aleph_0. Don't get confused by that nonsense. Everybody knows that unit fractions are different from each other. Therefore they cannot be counted at the same x, let alone at less than all positive x, i.e., at zero. >> > How does that fit with WM who thinks there is a smallest unit fraction > to start counting from? I do not think that but I prove that by the simple fact that not more than one unit fraction can be lessequal than all unit fractions. Regards, WM