 How do these rules measure up to the goal of arriving at a true generalization? Suppose for the sake of the example that the only serious possibilities under consideration are: (1) Either all emeralds are green or (2) all emeralds are grue\((t)\) for some critical time \(t\). Then the natural projection rule settles on the correct generalization no matter what the correct generalization is. For if all emeralds are green, the natural projection rule asserts this fact from the beginning. And suppose that all emeralds are grue\((t)\) for some critical time \(t\). Then at time \(t\), a blue emerald will be observed. At this point the natural projection rule settles on the conjecture that all emeralds are grue\((t)\), which must be correct given our assumption about the possible observation sequences. Thus no matter what evidence is obtained in the course of inquiry—consistent with our background assumptions—the natural projection rule eventually settles on a correct generalization about the colour of emeralds.