In The Eye, Vladimir Nabokov speculates eloquently on changing a single event in one's past and tracking the cumulative effect of the resulting variations. (This theme was reworked in the episode "Time and Punishment" of The Simpsons.) Nabokov emphasizes the branching structure of the changes in our lives, anticipating the bifurcation diagram of the logistic map. Additionally, while some small changes can grow to have large effects, others appear to be truly inconsequential. The major states of our lives can be thought of as attractors, and all the events leading up to a given state may be viewed as the basin of attraction of the event. Changes that have large effects may be near the boundaries of basins of attraction, so we are led to the notion of fractal basin boundaries in history.