Re: A question for WM...

Le 12/06/2024 à 22:51, "Chris M. Thomasson" a écrit :

On 6/12/2024 1:42 PM, WM wrote:

Le 12/06/2024 à 22:23, "Chris M. Thomasson" a écrit :

Wrt your logic, I have some questions:
____________
Are there infinitely many "dark" numbers?

 Yes.

>
Is there only a finite number of "light" numbers?

 

As in a global database with all of the numbers witnessed by humans?

 Yes.
 

Say a little kid, say 3 years old has never saw the number 42 before... So, this number is light because I just wrote it, it is not dark. However, it is "dark" wrt the the kid?

 Yes, the darkness is related to the system. If the kid is isolated, then 42 is dark in its system.
 The next 10^1000 prime numbers are dark for us but an advanced civilization may know them already.

 Ahhhh. I think I see what you just might be getting at all along... Infinitely many dark numbers is saying that N is indeed infinite, but say the (current) largest number, say largest prime we have currently detected and printed out?... (kidding, lol), is light to us now, as we progress wrt technology and sheer smarts we will be able to actually calculate higher primes...,

but almost all will remain dark forever.

that will turn from dark to light, right? Am I getting closer to your line of thinking, WM? We know that there are infinitely many primes, but the ones we have not actually calculated yet, are dark, but the are still very much, _there_ in N, indeed. Any closer, WM? Or way off your mark, so to speak? Humm...

I think you've got it.
Regards, WM