Our friend Malcolm Pollock in Brake Failure expresses a reasoned pessimism about our future under AI. I share his concerns. Will we humans have a future? Or are we facing what I have elsewhere called the Ultimate Replacement?
In Stephen Wolfram on AI and Irreducible Complexity, Malcolm explains
. . . a distinction between two [disjoint] subsets of deterministic systems: those whose behavior are describable by simplifying formulas that can be used, by taking their initial conditions as inputs, to predict their future state, and those for which no such reduction is possible.
An example of the former is the movement of two bodies under mutual gravitational attraction, such as a planet and its moon, or the earth and a ballistic projectile. Given the masses of the two, and their initial positions and velocities, it is possible to calculate their positions for any future time.
A good example of the latter is what Wolfram examined at length in his book A New Kind Of Science (which I labored through when it cam[e] out in 2002): the behavior of “cellular automata“, simple systems whose behavior is defined by a small set of rules, but for which, given the system’s state at time t, the only way of determining its precise configuration at time t+n is actually to iterate over every step between t and t+ n. Chaotic systems, such as weather and turbulent flow, are of this kind. So is biological evolution.
Fascinating. What struck me is that the first type of deterministic system allows for prediction, whereas the second type decouples determinism from predictability. I would add that if time is a continuum, then there are continuum-many iterations between t and t + n, which implies then there will have to be continuum-many iterations total. That would be the ultimate nail in the coffin of predictability, a nail that not even the ultimate claw hammer could remove.
A couple of further questions occur to me.
In the second type of determinism, what becomes of the distinction between determinism and indeterminism? There would presumably still be the distinction, but how could one tell if a type-2 system was deterministic or indeterministic? Malcolm, glossing Wolfram and Greene, writes, "There is no quicker way, no shortcut, for predicting the future state of such systems than simply letting them run, and seeing what they do." That boils down to saying that in the second type of deterministic systems there would be no way at all of predicting future states of such systems. How then could one 'determine' (come to know) whether such a system was deterministic or indeterministic?
If the deterministic systems that really interest us are of the second type, then Laplace's Demon is, if not out of a job, then bound to be underemployed.
Second question. If we humans are deterministic systems of the second type, might this permit a deterministic reduction of the much-vaunted free will that we feel ourselves to possess? I don't think so, but knowing Malcolm, he may want to take this ball and run with it.
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