Actually I have no problem with calling the universe deterministic, as long it's realized that a system capable of emulating the universe precisely is at least the size of the universe.
What physics is about is making approximations that are good enough for normal work.
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‘To those who regard “crime fiction” as some sacred icon which must follow a rigid formula, I will always be the man who writes 18-syllable haiku.’ Trying to make sense of computers, The Error Log.
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