Abstract
It is impermissible to violate a constraint, even if by doing so a greater number of violations of the very same constraint were to be prevented. Most find this puzzling. But what makes the impermissibility of such minimizing violations puzzling? This article discusses some recent answers to this question. The article's first aim is to make clear in what way these answers differ. The second aim is to evaluate the answers, along with Kamm's and Nagel's proposed solutions of what they see as the puzzle of constraints. The main thesis of the article is this: because defenders of constraints are not committed to any conception of valuable states of affairs, constraints do not conflict with maximizing rationality; but neither can they be accounted for in terms of impersonal values