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cousin_it comments on Kevin T. Kelly's Ockham Efficiency Theorem - Less Wrong
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Kolmogorov complexity also depends on the description language used to create strings. If the language has a recursive feature, for example, this would assign lower complexity to members of the Fibonacci sequence.
So, part of the task of Science is to induce what Nature's description language is.
I'm pretty sure Nature doesn't have one.
Obligatory XKCD
In the game described by the OP, Nature must invent a law, which must be expressed in a language. So, in the game, there must be a description language.
As to whether (real life) Nature can be said to have a description language: I assess the validity of this concept in terms of its success or failure in explaining phenomena. I wouldn't be 'pretty sure' of any hypothesis unless it were tested.
So, in a true language the results of saying something could be equal to actions?
I'm not sure how to phrase this...
I think say and do: Heat + Air + Fuel and I get Fire?
Hmm...