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There’s no way I could reproduce a calculus textbook verbatim, but I can probably prove all the important theorems in it.

Even then, given half of any sentence in the book, I don’t rate my chances of reproducing the next half. That’s more a question of knowing the author’s style than knowing calculus itself.

Does arithmetic coding capture all of that?

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Let’s say you come up with the exact same text given an initial seed (of you ate this and that that day). Then it really is just the arithmetic function of the difference, as it is deterministic.

Now, who will get closer to the algorithm with that added arithmetic coding? You, knowing the proofs, or a random guy that doesn’t even speak the language? Does it then measure intelligence all else being equals!

Yep

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