[wsy]

Hume's point is much more fundamental: you can't know if the world is indeed governed by 'natural laws'. Maybe the sun will just not rise tomorrow, ignoring all of the causal relationships we think we 'discovered'. There is no way to prove it will.

Or in more modern terms: we didn't discover anything inherent in nature, we invented models for prediction. Which are very useful, but don't tell anything about how the world 'really is'.

And, to be very explicit: this includes probability theory. You can prove that a series of observations from the past follows some pattern that matches the definition of probabilistic causality. But you can't prove that the events in the future will continue to fit that same pattern. So again you cannot prove anything about how the world 'really is'.