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Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: FromTheRafters <FTR@nomail.afraid.org> Newsgroups: sci.math Subject: Re: Replacement of Cardinality Date: Wed, 28 Aug 2024 10:00:39 -0400 Organization: Peripheral Visions Lines: 15 Message-ID: <vanaic$3ge7i$1@dont-email.me> References: <hsRF8g6ZiIZRPFaWbZaL2jR1IiU@jntp> <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> <valbld$33pko$1@dont-email.me> <CvvV1cSfPC3QJ3tElnVntHhM_ZE@jntp> Reply-To: erratic.howard@gmail.com MIME-Version: 1.0 Content-Type: text/plain; charset="iso-8859-15"; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Wed, 28 Aug 2024 16:00:44 +0200 (CEST) Injection-Info: dont-email.me; posting-host="379831b470fbec1a43a5e1a123102f2a"; logging-data="3684594"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX19ORgsSBqE2qAMoTojNBt2Aocmu/IXVdOA=" Cancel-Lock: sha1:VOdR9+xX+NYWM8y3p30uRNplNXI= X-ICQ: 1701145376 X-Newsreader: MesNews/1.08.06.00-gb Bytes: 1876 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?