In logic, and especially in its applications to mathematics and philosophy, a counterexample's an exception to a proposed general rule. For example, consider the proposition "all students are lazy".Because this statement makes the claim that a certain property (laziness) holds for all students, even a single example of a diligent student will prove it false. Thus, any hard-working student's a counterexample to "all students are lazy". More precisely, a counterexample's a specific instance of the… (More on Counterexample)