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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)
Date: Tue, 10 Dec 2024 22:12:21 +0100
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Am 10.12.2024 um 22:09 schrieb Chris M. Thomasson:
> On 12/10/2024 12:20 PM, Moebius wrote:
>> Am 10.12.2024 um 20:31 schrieb Chris M. Thomasson:
>>> On 12/10/2024 1:06 AM, Moebius wrote:
>>>> Am 09.12.2024 um 23:21 schrieb Chris M. Thomasson:
>>>>> On 12/9/2024 2:13 PM, WM wrote:
>>>>>> On 09.12.2024 23:05, FromTheRafters wrote:
>>>>>>> WM presented the following explanation :
>>>>
>>>>>>>> In sequences of sets only sets matter.
>>>>
>>>> Or rather _their contents_.
>>>>
>>>>>>> Then why are you averse to the empty set?
>>>>>>
>>>>>> Not at all! It proves the existence of dark numbers.
>>>>>
>>>>> Yawn...
>>>>
>>>> Well, the empty set contains each and every dark number, that's for 
>>>> sure!
>>>
>>> { } = infinite dark?
>>
>> Nope. Actually,
>>
>> for all x: If x is a dark number, then x is in {}.
>>
>> See?!
> 
> Shit. So, any natural number that WM cannot think of is dark? I guess.

Who knows? It's complicated. :-P

:-)