Moral conflicts occur in theories that involve more than one principle. I examine basic ways of dealing with moral dilemmas in medical ethics and in ethics generally, and propose a different approach based on a principle I call the "mutuality principle". It is offered as an addition to Tom Beauchamp and James Childress' principlism. The principle calls for the mutual enhancement of basic moral values. After explaining the principle and its strengths, I test it by way of an examination of (...) three responses—in the recent Festschrift for Dr Raanon Gillon—to a case involving parental refusal of a blood transfusion. The strongest response is the one that comes closest to the requirements of the mutuality principle but yet falls short. I argue that the mutuality principle provides an explicit future orientation in principlism and gives it greater moral coherence. (shrink)