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.

We here address the question of how, for a theory of justice, a concern for the promotion of equality can be combined with a concern for making people as well off as possible. Leximin, which requires making the worst off position as well off as possible, is one way of combining a concern for making people’s lives go well with a special concern for those who are especially poorly off. Many egalitarians, however, reject its near-monomaniacal focus on the worst off (...) position (to the exclusion of other poorly off persons). In this paper, we explore the possibility of combining a weak kind of egalitarianism with a weak kind of efficiency requirement in a way that avoids leximin’s obsession with the worst off position. For example, one may consider solving all cases where efficiency is not at issue by choosing the alternative that is most equal according to the Gini-coefficient or some other well-established inequality measure. All standard inequality measures sometimes judge an alternative as more equal than another alternative even though the latter maximizes the benefits of the worst off. Thus it may seem like a promising way of avoiding the leximin approach within an egalitarian framework. Surprisingly, given certain generally accepted assumptions, this turns out to be impossible. The only possible way of combining weak egalitarianism with weak efficiency requires, we shall show, the rejection of a widely accepted—but perhaps dubious—contraction consistency condition on justice or the acceptance of some version of the leximin principle. (shrink)

We shall focus on moral theories that are solely concerned with promoting the benefits (e.g., wellbeing) of individuals and explore the possibility of such theories ascribing some priority to benefits to those who are worse off—without this priority being absolute. Utilitarianism (which evaluates alternatives on the basis of total or average benefits) ascribes no priority to the worse off, and leximin (which evaluates alternatives by giving lexical priority to the worst off, and then the second worst off, and so on) (...) ascribes absolute priority to the worse off (i.e., favors even a very small benefit to a worse off person over very large benefits to large numbers of better off people). Neither extreme view, we assume, is plausible. (shrink)

I begin by reconsidering the arguments of John Taurek and Elizabeth Anscombe on whether the number of people we can help counts morally. I then consider arguments that numbers should count given by F. M. Kamm and Thomas Scanlon, and criticism of them by Michael Otsuka. I examine how different conceptions of the moral method known as pairwise comparison are at work in these different arguments and what the ideas of balancing and tie-breaking signify for decision-making in various types of (...) cases. I conclude by considering how another moral method that I call virtual divisibility functions and what it helps reveal about an argument by Otsuka against those who do not think numbers count. (shrink)

sonable, in this sense, if we ignore, or give too little weight to, some other people's well-being or moral claims.' Some critics have suggested that, because Scanlon appeals to this sense of 'reasonable', his formula is empty. On this objection, whenever we believe that some act is wrong, we shall believe that people have moral claims not to be treated in this way. We could therefore argue that such acts are disallowed by some principle which no one could reasonably reject, (...) since anyone who rejected this principle would be giving too little weight to people's moral claims not to be treated in this way. Since everyone could claim that the principles which they accept could not be reasonably rejected, Scanlon's Formula would make no difference to our moral thinking. That is not so. If we reject the principles that disallow certain acts, we are denying that such acts are wrong. This denial would be unreasonable if it would give too little weight to some other people's moral claims. So Scanlon's Formula implies that.. (shrink)

Philosophical discussions of prioritarianism, the view that we ought to give priority to those who are worse off, have hitherto been almost exclusively focused on cases involving a fixed population. The aim of this paper is to extend the discussion of prioritarianism to encompass also variable populations. I argue that prioritarianism, in its simplest formulation, is not tenable in this area. However, I also propose several revised formulations that, so I argue, show more promise.

This article criticises one of Stuart Rachels' and Larry Temkin's arguments against the transitivity of 'better than'. This argument invokes our intuitions about our preferences of different bundles of pleasurable or painful experiences of varying intensity and duration, which, it is argued, will typically be intransitive. This article defends the transitivity of 'better than' by showing that Rachels and Temkin are mistaken to suppose that preferences satisfying their assumptions must be intransitive. It makes cler where the argument goes wrong by (...) showing that it is a version of Zeno's paradox of Achilles and the Tortoise. (shrink)