 Roger Penrose (1969, 1973) famously suggested that although naked singularities are compatible with general relativity, in physically realistic situations they will never form; that is, any process that results in a singularity will safely ensconce that singularity behind an event horizon. This conjecture, known as the Cosmic Censorship Hypothesis, has met with some success and popularity; however, it also faces several difficulties. As in our previous discussions of singularities and black holes, there are questions about how exactly to formulate the hypothesis, and, once formulated, about whether or not it holds in general relativity as a whole, or at least in some physically reasonable subset of spacetimes—where, again, “physically reasonable” will likely be a vague and controversial notion. 