A significant proportion of the "academic approach" is actually a third one: artificial intelligence is the analysis and implementation of rational decision-making. That approach tends to care neither about biological accuracy, nor believability in a Turing-test sense. Rather, it cares about whether its decisions are correct based on evidence available to the decision-maker. That's the kind of attitude you most often find in both statistical and logic-based AI circles.

Actually, Russell & Norvig's AI textbook has a nice summary of these different approaches to AI in its intro chapter.