In this paper we develop a new methodology for normative theorising, which we call Directed Reflective Equilibrium. Directed Reflective Equilibrium is based on a taxonomy that distinguishes between a number of different functions of hypothetical cases, including two dimensions that we call representation and elicitation. Like its predecessor, Directed Reflective Equilibrium accepts that neither intuitions nor basic principles are immune to revision and that our commitments on various levels of philosophical enquiry should be brought into equilibrium. However, it also offers guidance about how different types of cases ought to be sequenced to achieve this result. We argue that this ‘directional’ approach improves, in various ways, over the n...