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From: Mikko <mikko.levanto@iki.fi>
Newsgroups: sci.logic
Subject: Re: Simple enough for every reader?
Date: Sun, 18 May 2025 13:30:13 +0300
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On 2025-05-17 15:00:33 +0000, WM said:

> Are you aware of the fact that in
> 
> {1}
> {1, 2}
> {1, 2, 3}
> ...
> {1, 2, 3, ..., n}
> ...
> 
> up to every n infinitely many natural numbers of the whole set
> 
> {1, 2, 3, ...}
> 
> are missing? Infinitely many of them will never be mentioned 
> individually. They are dark.

For example, if we pick 5 for n we have

{1}
{1, 2}
{1, 2, 3}
{1, 2, 3, 4}
{1, 2, 3, 4, 5}

then 6 and infinitely many other numbers are missing. So numbers
6, and 7 are dark as are ingfinitely many other numbers.

-- 
Mikko