> Reasoning involves inferring and applying causation which is different from correlation

A couple points here:

* The way humans model causation is just non-naive statistical correlation (controlling for variables). That technique is still accurately described as "statistical correlation"

* I'm not even convinced that human reasoning _does_ imply generating a model of causation. Let's exclude things like rigorous scientific studies for the purpose of the discussion and focus on day-to-day human reasoning: I think the thought processes of most of the people I know could most accurately be explained by correlating things across time. Modeling causation is often incidental (X often happens after Y is a reasonable enough heuristic for general use).