"A derived process is emergent if it has a greater predictive efficiency than the process it derives from. " Cosma Shalizi
Complexity as referenced on this web site follows both the mathematical models and concepts that have been shown to have validity while at the same time extending these concepts into new realms and uses. There is no system that is strictly ordered nor random. Not all complicated things are complex and simple things are not linear from a mathematical viewpoint.
A science of interdependence: organic and emergent