A standard view within psychology is that there have been two important shifts in the study of concepts and that each has led to some improvements. The first shift was from the classical theory of concepts to probabilistic theories, the most popular of which is prototype theory. The second shift was from probabilistic theories to theory-based theories. In this article, I take exception with the view that the first shift has led to any kind of advance. I argue that the main reasons given for preferring prototype theory over the classical theory are flawed and that prototype theory suffers some of the same problems that have been thought to challenge the classical theory.