Earlier quoted context omitted.
So this is to repeat hume and mistake causal analysis as a kind of induction or inference. It isnt. Our bodies are the primary site of "causal analysis". Eg., when I touch the hot surface of a stove I do not infer that temperature is a cause of my hand being hot. Such an inference, as the basis for our models of the world, would be -- as you/hume/etc. say -- deeply insufficient. The operation of the world on our bodi…
None of this explains how modelling time sequences of events does not sufficiently approximate the kind of causal knowledge you mention.
Now I feed into the machine what data?
Here, it gets this: all gravitational, electomagnetic, etc data within 1km; all geometric information about all objects within 1km (, and all of their properties, etc.)
Now, machine, what caused the pot to boil?
It has no clue. There are an infinite number of antecedent temporal events.
The problem isn't the mathematics of causal inference. The problem is relevance. That isn't an inferential problem.