 For opponents of moral dilemmas, the problem of dirty hands represents both a challenge and an opportunity. The challenge is to show how conflicts between general obligations and role-related obligations, and those among the various role-related obligations, can be resolved in a principled way. The opportunity for theories that purport to have the resources to eliminate dilemmas—such as Kantianism, utilitarianism, and intuitionism—is to show how the many moralities under which people are governed are related.