You mention Bayesian statistics as a thing like Pearls causality maths
that's too complex.for most people and so hasn't caught on. I'd argue the
exact opposite. Bayesian statistics ARE complicated but the first time I
saw them my reaction was Oh My God this is going to change everything about
how
Thinking out loud, it seems to me that for most things Bayesian logic
supercedes Pearls causality. The probability of something given a prior,
versus the probability without the prior is, in some sense, the degree to
which the prior "causes" the result. The beauty is that you can usefully
reason