Sujet : Re: Simple enough for every reader?
De : mikko.levanto (at) *nospam* iki.fi (Mikko)
Groupes : sci.logicDate : 24. May 2025, 09:13:17
Autres entêtes
Organisation : -
Message-ID : <100rv2t$jpca$1@dont-email.me>
References : 1 2 3 4 5 6 7 8 9 10 11
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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