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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: Fri, 30 Aug 2024 07:21:46 -0000 (UTC) Organization: i2pn2 (i2pn.org) Message-ID: <1373928244f778869985cb9264d778bed5ccf85a@i2pn2.org> References: <hsRF8g6ZiIZRPFaWbZaL2jR1IiU@jntp> <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> <valbld$33pko$1@dont-email.me> <CvvV1cSfPC3QJ3tElnVntHhM_ZE@jntp> <vanaic$3ge7i$1@dont-email.me> <nTstM2rqnAPVLSM935ZrojNuyoY@jntp> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Injection-Date: Fri, 30 Aug 2024 07:21:46 -0000 (UTC) Injection-Info: i2pn2.org; logging-data="224886"; 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: 2234 Lines: 25 Am Thu, 29 Aug 2024 13:34:14 +0000 schrieb WM: > Le 28/08/2024 à 16:00, FromTheRafters a écrit : >> WM presented the following explanation : >>> Le 27/08/2024 à 22:07, "Chris M. Thomasson" a écrit : >>>> On 8/27/2024 12:36 PM, WM wrote: >>> >>>>> 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. >>>> >>>> Define visible? >>> >>> The simplest definition is this: A visible number can be expressed in >>> decimals or binaries. >> >> Can be? Or is? Or has previously been? > > Is or has previously been. If not yet expressed in the system, it is > dark in the system. But small dark numbers can become visisble. (They > have been called grey numbers.) By induction that goes for every number. -- 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.