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From: Mikko <mikko.levanto@iki.fi>
Newsgroups: sci.logic
Subject: Re: Simple enough for every reader?
Date: Sat, 24 May 2025 11:13:17 +0300
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On 2025-05-23 08:31:27 +0000, WM said:

> On 23.05.2025 09:43, Mikko wrote:
>> Do you mean that every natural number is dark until
>> someone mentions it but no longer?
>> 
> Every natural number is dark in a system that cannot represent it in 
> any form like writing, thinking or whatever. The pocket calculator is 
> limited to decimal representations below 10^100, the universe is 
> limited to more or less sophisticated formulas requiring less than 
> 10^80 bit.
> 
> In every system almost all natural numbers are and remain dark - if an 
> actual infinity of them exists.

That is not a useful concept as it is not possible to know wich numbers are
presentable in future sysems and which will be actually presented.

At the end of the web page https://mlevanto.github.io/lauseke.html there
is an arithmetic expression that evaluates to a 65600 digit number. Although
the value of the expression is not written there I used that digit sequence
(and several others, some even longer) when I wrote the page.

We don't know whether our universe is finite or infinite. or wheter it
can be fully described with finite information.

-- 
Mikko