 Reina Hayaki proposes yet another solution (Hayaki 2003). When we say that Julius Caesar had an unburnt sixth right finger at some possible world w1, we take w1 to represent Julius Caesar as having an unburnt sixth right finger. When we say further that that finger at w1 was burnt at a different possible world w2, we should likewise take w2 to represent that finger as having been burnt. According to Hayaki, this requires a hierarchical arrangement of possible worlds in which the representation of the finger by w2 is parasitic on the representation by w1.