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From: FromTheRafters <FTR@nomail.afraid.org>
Newsgroups: sci.math
Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)
Date: Wed, 01 Jan 2025 09:47:11 -0500
Organization: Peripheral Visions
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References: <vg7cp8$9jka$1@dont-email.me>   <vjjg6p$3tvsg$1@dont-email.me> <c31edc62508876748c8cf69f93ab80c0a7fd84ac@i2pn2.org> <vjka3b$1tms$3@dont-email.me> <e11a34c507a23732d83e3d0fcde7b609cdaf3ade@i2pn2.org> <vjmse3$k2go$2@dont-email.me> <069069bf23698c157ddfd9b62b9b2f632b484c40@i2pn2.org> <vjooeq$11n0g$2@dont-email.me> <2d3620a6e2a8a57d9db7a33c9d476fe03cac455b@i2pn2.org> <vjrfcc$1m1b2$1@dont-email.me> <75921cc1f17cdb691969a99e666f237cd09c0b09@i2pn2.org> <vjsrp1$1tqvv$2@dont-email.me> <25729298b142c60d5b245231984119d42d4ac089@i2pn2.org> <vko14j$53b6$3@dont-email.me> <vko1vp$5mmo$1@dont-email.me> <vko2a3$5mmo$3@dont-email.me> <vkpkbr$fnhj$2@dont-email.me> <vkraki$tpqs$3@dont-email.me> <vkshm4$17741$1@dont-email.me> <vksjeq$17bf0$1@dont-email.me> <vktm9b$1hmvu$1@dont-email.me> <09ef32dfb3944d321e15e1383820166a2082d5cb@i2pn2.org> <vkv4p3$1qhgq$1@dont-email.me> <6d7fb8f4346eb09ea7ccdff45e8ff3d0c4a45ab0@i2pn2.org> <vl0e3v$25vs8$1@dont-email.me>
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WM wrote :
> On 31.12.2024 09:56, joes wrote:
>> Am Mon, 30 Dec 2024 22:53:38 +0100 schrieb WM:
>
> Correction:
>
> The collection of definable natural numbers (FISONs) is closed under 
> multiplication

How can that be? If you have defined your FISODNs as being what's left 
of the elements of N after 'almost all' have been excluded from 
consideration in the new set, then multiplication is only a partial 
function.