 The paradox is nicely illustrated by the following example from van Fraassen (1989). Suppose a factory cuts iron cubes with edge-lengths ranging from \(0\) cm to 2 cm. What is the probability that the next cube to come off the line will have edges between \(0\) cm and 1 cm in length? Without further information about how the factory goes about producing cubes, the PoI would seem to say the probability is \(1/2\). The range from \(0\) to 1 covers \(1/2\) the full range of possibilities from \(0\) to 2. But now consider this question: what is the probability that the next cube to come off the line will have volume between \(0\) cubic cm and 1 cubic cm? Here the PoI seems to say the probability is \(1/8\). For the range from \(0\) to 1 covers only \(1/8\) the full range of possible volumes from \(0\) to \(8\) cubic cm. So we have two different probabilities for equivalent propositions: a cube has edge-length between \(0\) and 1 cm if and only if it has a volume between \(0\) cubic cm and 1 cubic cm. Once again, the probabilities given by the PoI seem to depend on how we describe the range of possible outcomes. Described in terms of length, we get one answer; described in terms of volume, we get another.