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From: Moebius <invalid@example.invalid>
Newsgroups: sci.math
Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers
 (extra-ordinary, effectively)
Date: Sun, 29 Dec 2024 03:24:56 +0100
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Am 29.12.2024 um 03:13 schrieb Moebius:
> Am 29.12.2024 um 03:07 schrieb Chris M. Thomasson:
>> On 12/28/2024 5:58 PM, Moebius wrote:
>>> 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.
>>
>> It's an unsigned integer at every step? 
> 
> Sure.
> 
> For each and every n e IN the string
> 
>        d_n d_(n-1) ... d_0
> 
> where d_i e {"0", "1", ..., "9"} for all i e {0, ..., n} represents an 
> unsigned integer.

Actually,

       d_n d_(n-1) ... d_0

represents (denotes) the unsigned integer

       SUM_(k=0..n) [d_k] * 10^k ,

where ["0"] = 0, ["1"] = 1, ..., ["9"] = 9.

..
..
..