 Debates about moral dilemmas have been extensive during the last six decades. These debates go to the heart of moral theory. Both supporters and opponents of moral dilemmas have major burdens to bear. Opponents of dilemmas must show why appearances are deceiving. Why are examples of apparent dilemmas misleading? Why are certain moral emotions appropriate if the agent has done no wrong? Supporters must show why several of many apparently plausible principles should be given up—principles such as PC, PD, OP, D, ‘ought’ implies ‘can’, and the agglomeration principle. And each side must provide a general account of obligations, explaining whether none, some, or all can be overridden in particular circumstances. Much progress has been made, but the debate is apt to continue.