 Van Inwagen’s unwillingness (unlike the early Unger (1975)) to apply the nihilism to himself, and others like him, prompted the thought in other philosophers that there may be a way of having a doctrine of Restricted Composition on the basis of being things of the right kind—namely having a structure of the right kind—and that this idea resembled Aristotle’s notion of form and his doctrine of hylomorphism. Philosophers following this line of thought included Fine (1999, 2010), Johnston (2006), Lowe (2011), Koslicki (2008), Rea (2011) and Jaworski (2011, 2012). It is difficult to provide a compact account of these philosophers’ positions, as it can seem that all they have in common is a belief in some form of restricted composition and a sense that the Aristotelian label ’hylomorphism’ helps to give their theories a pedigree. My strategy here will be to illustrate modern hylomorphism mainly using the examples of Jaworski and Johnston, then citing a major problem for any theory of this general kind, and illustrating this by reference to Marmodoro (2013), where good discussions of Lowe, Koslicki and Rea can be found.