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From: joes <noreply@example.org>
Newsgroups: sci.math
Subject: Re: The non-existence of "dark numbers"
Date: Wed, 19 Mar 2025 14:10:39 -0000 (UTC)
Organization: i2pn2 (i2pn.org)
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Am Wed, 19 Mar 2025 10:39:38 +0100 schrieb WM:
> On 18.03.2025 21:40, joes wrote:
>> Am Tue, 18 Mar 2025 16:34:21 +0100 schrieb WM:
>>> On 18.03.2025 12:57, Alan Mackenzie wrote:
>>>> WM <wolfgang.mueckenheim@tha.de> wrote:
>>>
>>>>> The set of FISONs is an inductive set. But it is not ℕ because ∀n ∈
>>>>> UF: |ℕ \ {1, 2, 3, ..., n}| = ℵo.
>>>> That "because" doesn't hold
>>> Because you say so? That's not significant. Even if you can't
>>> understand the correct argument, it is decisive: ℕ_def contains all
>>> numbers the subtraction of which from ℕ does not result in the empty
>>> set. Obviously the subtraction of all numbers which cannot empty ℕ
>>> cannot empty ℕ.
>> There are many such sets: N\{0}, N\{1}, N\{2}, ...
> ℕ_def contains only numbers with FISONs. N\{0} is not a FISON.
It contains only numbers with FISONs.

-- 
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.