NOT SENT TO GMU OR TO ARIZ The present communication identifies the two current, literature-based schools of thought about complexity. The two schools are alike in some respects. Both schools are connected to mathematical formalisms, though the visibility of these formalisms varies significantly in the literature of these Schools. Both schools perceive complexity within the context of the "observer-system" idea. In this idea, an observer, determined to study a "system", is actively engaged in doing so. The distinction between the two schools is in where they perceive complexity to be located.