This week's book giveaway is in the General Computing forum. We're giving away four copies of Arduino in Action and have Martin Evans, Joshua Noble, and Jordan Hochenbaum on-line! See this thread for details.
Here's my guess: Suppose the class in question was a class named A. Suppose A extended another abstract class S, or implemented an interface I, but A did not provide an implementation for any methods in the superclass S or interface I, then the class A must be declared abstract. The fact that it provides a single non-abstract method is irrelevant, I think. On the other hand, a class A with no behaviour (methods) at all would be rather pointless.