How Should We Aggregate Competing Claims?

Many believe that we ought to save a large number from being permanently bedridden rather than save one from death. Many also believe that we ought to save one from death rather than a multitude from a very minor harm, no matter how large this multitude. I argue that a principle I call Aggregate Relevant Claims satisfactorily explains these judgments. I offer a rationale for this principle and defend it against objections.