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From: "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com>
Newsgroups: sci.math
Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers
(extra-ordinary)
Date: Thu, 12 Dec 2024 18:35:06 -0800
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On 12/10/2024 1:12 PM, Moebius wrote:
> 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
>
> :-)
>
>
>
Yikes!