This book is a rigorous treatment of a major question: Can there be rational decisions between options having incommensurable values? Challenging the view that incommensurability does not preclude rational choice, Boot details obstacles to choices between incommensurables and indicates how practical reasoning should accommodate them. In doing this he says much of value about justice, healthcare, punishment, and other major topics. -- Robert Audi, John A. O'Brien Professor of Philosophy, University of Notre Dame It is hard to think of a more important practical question than whether there are irresoluble conflicts between values. Philosophers in recent years have made major advances in clarifying that question and developing answers to it, but their work is often technical. Martijn Boot is technically adept, but in this highly significant book makes his arguments in clear and engaging prose. He brings out the implications of incommensurability in various areas, as well as taking the debate forward on several fronts. -- Roger Crisp, Professor of Moral Philosophy, St Anne's College, Oxford