Re: Simple enough for every reader?

On 18.05.2025 12:30, Mikko wrote:

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.
 

Maybe for a 3-year old child. Doves can count to 7. Earthworms may fail at 1 already. It depends on the system. But important is that no system can get over the infinite gap of dark numbers.
Regards, WM