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Path: ...!weretis.net!feeder9.news.weretis.net!i2pn.org!i2pn2.org!.POSTED!not-for-mail From: joes <noreply@example.org> Newsgroups: sci.math Subject: Re: Replacement of Cardinality Date: Wed, 28 Aug 2024 04:20:59 -0000 (UTC) Organization: i2pn2 (i2pn.org) Message-ID: <af38bb98f2bad271a1883903959de9f6cb9d1d3b@i2pn2.org> References: <hsRF8g6ZiIZRPFaWbZaL2jR1IiU@jntp> <980a0ec7476c9dc5823e59b2969398bd39d9b91d@i2pn2.org> <va5c09$3vapv$1@dont-email.me> <h6Deptvp2nWZ7A-WxxE_8LCEIYY@jntp> <8d5b0145-b30d-44d2-b4ff-b01976f7ca66@att.net> <WtY45o_2xWeSk0s5VFpkO7OO7b0@jntp> <bd225e98-2fa5-49d5-806e-f25e2c8f24da@att.net> <MyfajwdXdoZZDQyGfKtmPKpt08o@jntp> <6cc86827-def3-4948-9e69-a3fea9e86c06@att.net> <vagheo$24vpo$4@dont-email.me> <6SLKsYqqtl1spoN6trAGFCEcAxc@jntp> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Injection-Date: Wed, 28 Aug 2024 04:20:59 -0000 (UTC) Injection-Info: i2pn2.org; logging-data="4176253"; mail-complaints-to="usenet@i2pn2.org"; posting-account="nS1KMHaUuWOnF/ukOJzx6Ssd8y16q9UPs1GZ+I3D0CM"; User-Agent: Pan/0.145 (Duplicitous mercenary valetism; d7e168a git.gnome.org/pan2) X-Spam-Checker-Version: SpamAssassin 4.0.0 Bytes: 2028 Lines: 18 Am Tue, 27 Aug 2024 19:36:08 +0000 schrieb WM: > Le 26/08/2024 à 02:15, Moebius a écrit : >> Am 25.08.2024 um 23:18 schrieb Jim Burns: >>> On 8/25/2024 3:35 PM, WM wrote: >> >>>> Dark numbers are not any bounds. >> >> Fascinating: So we have that there are "dark numbers" which are smaller >> (larger) than each and every s e SB (n e IN), but they are no bounds? > > Dark natural numbers are larger than any visible natural number but > smaller than their bound omega. > Dark unit fractions are smaller than any visible unit fractions but > larger than their bound 0. This sounds an awful lot like the hyperreal numbers. -- Am Sat, 20 Jul 2024 12:35:31 +0000 schrieb WM in sci.math: It is not guaranteed that n+1 exists for every n.