Some Versions of the Number Problem Have No Solution

This article addresses Taruek’s much discussed Number Problem from a non-consequentialist point of view. I argue that some versions of the Number Problem have no solution, meaning that no alternative is at least as choice-worthy as the others, and that the best way to behave in light of such moral indeterminacy is to let chance make the decision. I contrast my proposal with F M Kamm’s nonconsequentialist argument for saving the greatest number, the Argument for Best Outcomes, which I argue does not follow from the premises it is based on.