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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, effectively)
Date: Sun, 29 Dec 2024 06:32:43 -0500
Organization: Peripheral Visions
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References: <vg7cp8$9jka$1@dont-email.me>   <7356267c-491b-45c2-b86a-d40c45dfa40c@att.net> <vjufr6$29khr$3@dont-email.me> <4bf8a77e-4b2a-471f-9075-0b063098153f@att.net> <vjv6uv$2dra0$1@dont-email.me> <31180d7e-1c2b-4e2b-b8d6-e3e62f05da43@att.net> <vk1brk$2srss$7@dont-email.me> <bb80c6c5-04c0-4e2d-bb21-ac51aab9e252@att.net> <vk23m7$31l8v$1@dont-email.me> <bce1b27d-170c-4385-8938-36805c983c49@att.net> <vk693m$f52$2@dont-email.me> <a17eb8b6-7d11-4c59-b98c-b4d5de8358ca@att.net> <vk7dmb$7mh2$2@dont-email.me> <b72490c1-e61a-4c23-a3a5-f624b2c084e4@att.net> <vk8tbq$j9h1$1@dont-email.me> <bd7dfdc7-6471-4fe6-b078-0ca739031580@att.net> <vklumc$3htmt$1@dont-email.me> <c03cf79d-0572-4b19-ad92-a0d12df53db9@att.net> <n9CdnR02SsevtPL6nZ2dnZfqnPidnZ2d@giganews.com> <45a632ed-26cc-4730-a8dd-1e504d6df549@att.net> <vkpa98$dofu$2@dont-email.me> <15f183ae29abb8c09c0915ee3c8355634636da31@i2pn2.org> <UY-cndwXAt7-4O36nZ2dnZfqnPYAAAAA@giganews.com> <vkq69p$jue2$1@dont-email.me> <vkqacd$kiio$3@dont-email.me>
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Moebius brought next idea :
> Am 29.12.2024 um 01:48 schrieb Chris M. Thomasson:
>
>> Say, 1875520200019832...
>> 
>> Each digit is random. This [represents] a number and it's within the 
>> infinite set of unsigned integers.
>
> Nope. Such a "number" is not an integer.
>
> Hint: Each and every "unsigned" (i.e. non-negative) integer has to be 
> "represented" by a finite (!) string of digits.
>
> .
> .
> .

Like "0.999..."?