I scanned through the artificial-intuition.com site and still can't tell what it is. It sounds like usual machine learning (no theory or first-order logic, instead identifying (possibly nonlinear) correlations between variables). The marketing-speak makes it difficult to tell how their method compares to other well-known ones. At the point, it seems like their biggest achievement is in PR (Artificial Intuition is a great name!) but if someone has any specifics, I'd love to know.