> Causation is a set of 2 correlations in somewhat inverse directions.

> Or if correlation is a function, causation referes to such a function that would be inversible.

So you would say that clouds cause rain iff rain causes clouds. Big brain.

No what I said, Mr Galaxy Brain.

If the pavement is wet and there are clouds, there is correlation but not causation. Might have spilled a beer or something.

However if I can show that the pavement is wet because it rained and if it rains, then the pavement is going to get wet, I have a clearly established causation. (in general ceteris paribus).

What kind of Phd do you have again? :o)

I would say "Causation" is when an effect can be explained by a provable deterministic mechanism.