 There seem to be two problems here, however. First, the inverted reformulation actually entails the original thesis—that if two events share all physical properties they will share all mental properties—and so once again generates strict psychophysical laws. Second, even if the accompanied physical changes can be different, that simply generates more strict psychophysical laws—‘ P1 → M1’, ‘P2 → M1’, and so on. So it is hard to see why Davidson thinks that the second formulation is consistent with the anomalism principle.