 Generally speaking, there are five possible replies to this puzzle. First, one could simply accept (4) and admit that David is not identical to Lump. We consider this response in sections 2 and 3, where we discuss the constitution view of David Wiggins (1968) and the temporal parts theory of David Lewis (1976). Second, one could deny (1) by either denying the existence of David or by insisting that David existed on Monday. We consider these responses in section 4, where we discuss the eliminativist views of Peter Unger (1979), Peter van Inwagen (1990), and Roderick Chisholm (1979). Third, one could deny (2) by either denying the existence of Lump (as the eliminativist does) or by claiming that Lump does not survive being shaped into a statue. We consider this second option in section 5, where we discuss the dominant kinds view of Michael Burke (1992). Fourth, one could deny (3) by rejecting the standard formulation of Leibniz’s Law. We consider this response in section 6, where we discuss the relative identity theory of Peter Geach (1967). Fifth and finally, one could respond to the paradox by insisting that the underlying issues are in some sense verbal, so that there is no fact of the matter about which premise (if any) is false. We consider this response in section 7, where we discuss the deflationist views of Rudolf Carnap (1950) and others. (For an alternative survey of these issues, along with a collection of relevant papers, see Rea 1987.)