I think we are talking past each other. Defining how the system evolves is defining how initial conditions must lead to (cause) intermediate and final states. T

I think we are talking past each other. Defining how the system evolves is defining how initial conditions must lead to (cause) intermediate and final states. That’s causality in the logical sense. What I’m talking about is most similar to the “Causal Explanation” section at the end of the article you link.