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From: joes <noreply@example.org>
Newsgroups: sci.math
Subject: Re: The non-existence of "dark numbers"
Date: Sun, 16 Mar 2025 13:12:06 -0000 (UTC)
Organization: i2pn2 (i2pn.org)
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Am Sat, 15 Mar 2025 18:25:33 +0100 schrieb WM:
> On 15.03.2025 17:52, joes wrote:
>> Am Sat, 15 Mar 2025 17:44:40 +0100 schrieb WM:
>>> On 15.03.2025 12:26, joes wrote:
>>>> Am Fri, 14 Mar 2025 23:10:11 +0100 schrieb WM:
>>>
>>>>> ℕ_def contains all numbers the subtraction of which from ℕ does not
>>>>> result in the empty set.
>>>> This makes NO SENSE.
>>> There are numbers which can be removed from ℕ without emptying ℕ, for
>>> instance {2}. All numbers of that kind can be collected.
>> Like I said:
>>>> You either mean N_def=N (no single removed number makes the set empty
>>>> *facepalm*)
> The numbers which can be removed from ℕ without emptying ℕ are not all
> numbers of ℕ. Subtracting all numbers of ℕ from ℕ would empty ℕ.
So there is a number which when removed from N empties it?

>>>> or N_def={} (subtracting everything makes the set empty).
> ℕ_def contains 2, so it is not empty.

>>>>> Obviously the subtraction of all numbers which cannot empty ℕ cannot
>>>>> empty ℕ.
>>>> What? Is N_def finite? (don't come at me with "potential").
>>> Have you ever defined a number by an infinite FISON?
>> No such numbers.
-- 
Am Sat, 20 Jul 2024 12:35:31 +0000 schrieb WM in sci.math:
It is not guaranteed that n+1 exists for every n.