There are several disputes followed by the true meaning of artificial intelligence. As some say, artificial stands for false because it's not a human whereas, other says that artificial is the creation of humans, not a natural occurring so, it is true that it is artificial. The scientific community has not confirmed to either of the concepts though. 

Artificial Intelligence advances the computer's understanding by making its thinking pattern similar to humans thinking. As a result, we get human-like actions and better and faster solutions to our problems from a machine. 

AI helps the machine to use experience for learning, adjust to new inputs and perform human-like tasks.

Statistical AI arises from machine learning which tends to be more concerned with "inductive" thought given a set of patterns, induce the trend. Whereas, Classical AI is more concerned with deductive" thought given a set of constraints, deduce a conclusion. In simple terms, Classical AI is the type of intelligence that symbolic and oriented to logic and language processing. 

Another difference between the two is that statistical AI prefers C++ language while LISP is involved in classical AI.