Ex ante contractualism holds that in situations involving risk we ought to act in accordance with principles that license the action that satisfies the strongest individual claim, where those claims are a function of the expected value that a given policy gives each person ex ante. I here challenge ex ante contractualism on contractualist grounds. I argue that adopting ex ante contractualism would have far reaching implications that contractualists, or many nonconsequentialist in general, would find very hard to accept. I (...) conclude that to block these implications, contractualists should adopt an ex post approach to deal with decisions under risk. (shrink)

Is there any number of people you should save from paralysis rather than saving one person from death? Is there any number of people you should save from a headache rather than saving one person from death? Many people answer ‘yes’ and ‘no’, respectively. They therefore accept a partially aggregative moral view. Patrick Tomlin has recently argued that the most promising partially aggregative views in the literature have implausible implications in certain cases in which there are additions or subtractions to (...) the groups of people that we can save. Several philosophers have begun responding to this argument by developing partially aggregative views that avoid the relevant implications. In this paper, I extend Tomlin’s argument to create a dilemma that no partially aggregative view can avoid. I conclude that we should accept a fully aggregative moral view. (shrink)

Many of us believe (1) Saving a life is more important than averting any number of headaches. But what about risky cases? Surely: (2) In a single choice, if the risk of death is low enough, and the number of headaches at stake high enough, one should avert the headaches rather than avert the risk of death. And yet, if we will face enough iterations of cases like that in (2), in the long run some of those small risks of (...) serious harms will surely eventuate. And yet: (3) Isn't it still permissible for us to run these repeated risks, despite that knowledge? After all, if it were not, then many of the risky activities that we standardly think permissible would in fact be impermissible. Nobody has yet offered a principle that can accommodate all of 1-3. In this paper, I show that we can accommodate all of these judgements, by taking into account both ex ante and ex post perspectives. In doing so, I clear aside an important obstacle to a viable deontological decision theory. (shrink)

Consider the following claim: given the choice between saving a life and preventing any number of people from temporarily experiencing a mild headache, you should always save the life. Many moral theorists accept this claim. In doing so, they commit themselves to some form of ‘moral absolutism’: the view that there are some moral considerations that cannot be outweighed by any number of lesser moral considerations. In contexts of certainty, it is clear what moral absolutism requires of you. However, what (...) does it require of you when deciding under risk? What ought you to do when there is a chance that, say, you will not succeed in saving the life? In recent years, various critics have argued that moral absolutism cannot satisfactorily deal with risk and should, therefore, be abandoned. In this paper, we show that moral absolutism can answer its critics by drawing on—of all things—orthodox expected utility theory. (shrink)

In “How Should We Aggregate Competing Claims?” Alex Voorhoeve develops a theory—Aggregate Relevant Claims (ARC)—which aims to reconcile intuitive judgments for and against aggregating claims in different situations. I argue that ARC does not justify these intuitions but instead ultimately relies on them. We ought not to trust the intuition in favor of nonaggregation, so we ought not to trust ARC. I then show that the nonaggregative part of ARC has a number of unacceptable implications. These problems afflict all nonaggregative (...) theories. Finally, I present a positive argument for full-blooded aggregation. The numbers always count. (shrink)

The Rachels–Temkin spectrum arguments against the transitivity of better than involve good or bad experiences, lives, or outcomes that vary along multiple dimensions—e.g., duration and intensity of pleasure or pain. This paper presents variations on these arguments involving combinations of good and bad experiences, which have even more radical implications than the violation of transitivity. These variations force opponents of transitivity to conclude that something good is worse than something that isn’t good, on pain of rejecting the good altogether. That (...) is impossible, so we must reject the spectrum arguments. (shrink)

Suppose that A and B are two kinds of goods such that more of each is better than less. A is strongly superior to B if any amount of A is better than any amount of B. It is weakly superior to B if some amount of A is better than any amount of B. There are many examples of these relations in the literature, sometimes under the labels “higher goods” and “discontinuity.” The chapter gives a precise and generalized statement (...) of Strong and Weak Superiority and discusses different ways in which these relations can be relevant to the aggregation of welfare. It also proves a number of general results. One of the results gives rise to a dilemma: It can be used as an argument against the existence of value superiority or, alternatively, as an argument against the view that superiority entails a radical difference in value. (shrink)

The independence of irrelevant alternatives is a popular and important axiom of decision theory. It states, roughly, that one’s choice from a set of options should not be influenced by the addition or removal of further, unchosen options. In recent debates, a number of authors have given putative counterexamples to it, involving intuitively rational agents who violate IIA. Generally speaking, however, these counterexamples do not tend to move IIA’s proponents. Their strategy tends to be to individuate the options that the (...) agent faces differently, so that the case no longer counts as a violation of IIA. In this paper, we examine whether this strategy succeeds. We argue that the ways of individuating options required to save IIA from the most problematic counterexamples—in particular, cases where agents violate IIA due to nonconsequentialist moral beliefs—do so only at the expense of severely compromising its central function within decision theory. (shrink)

Argues that there is no one it is irrational to love, that it is rational to act with partiality to those we love, and that the rationality of doing so is not conditional on love. It follows that Anscombe and Taurek are right: you are not required to save three instead of one, even when those you could save are perfect strangers.

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.

It is plausible to think that it is wrong to cure many people’s headaches rather than save someone else’s life. On the other hand, it is plausible to think that it is not wrong to expose someone to a tiny risk of death when curing this person’s headache. I will argue that these claims are inconsistent. For if we keep taking this tiny risk then it is likely that one person dies, while many others’ headaches are cured. In light of (...) this inconsistency, there is a conflict in our intuitions about beneficence and chance. This conflict is perplexing. And I have not been able to find a satisfactory way of resolving it. Perhaps you can do better? (shrink)

In 'Rethinking the Good', Larry Temkin makes two core claims. First, the goodness of a distribution is sometimes ‘essentially comparative’ – it sometimes depends on which alternative distribution(s) it is compared to. Second, such cases threaten the transitivity of ‘all things considered better than’. I argue that the goodness of a distribution may indeed depend on what other distributions are feasible. But contrary to Temkin, I also argue that transitivity holds even when the goodness of a distribution depends on the (...) feasible set of which it is a member. (shrink)

I defend the 'Repugnant' Conclusion that for any possible population of happy people, a population containing a sufficient number of people with lives barely worth living would be better. Four lines of argument converge on this conclusion, and the conclusion has a simple, natural theoretical explanation. The opposition to the Repugnant Conclusion rests on a bare appeal to intuition. This intuition is open to charges of being influenced by multiple distorting factors. Several theories of population ethics have been devised to (...) avoid the Repugnant Conclusion, but each generates even more counterintuitive consequences. The intuition opposing the Repugnant Conclusion is thus among the best candidates for an intuition that should be revised. (shrink)

I argue that T.M. Scanlon's contractualist account of morality has difficulty accommodating our intuitions about the moral relevance of the number of people affected by an action. I first consider the "Complaint Model" of reasonable rejection, which restricts the grounds for an individual's rejection of a principle to its effects upon herself. I argue that it can accommodate our intuitions about numbers only if we assume that, whenever we do not know who will be affected, each individual may appeal only (...) to the _expected effects on her. This assumption, I suggest, leads to counterintuitive results in cases where, although we do not know who will be affected, we do know that _someone will be. I then consider two proposals to supplement the complaint model with a direct appeal to aggregation. I argue that both are open to serious objections. (shrink)

Philosophy & Public Affairs, 34 (2006): 109-35.

Is there any number of people you should save from paralysis rather than saving one person from death? Is there any number of people you should save from a migraine rather than saving one person from death? Many people answer “yes” and “no,” respectively. The aim of partially aggregative moral views is to capture and justify combinations of intuitions like these. In this article, I develop a risk-based reductio argument that shows that there can be no adequate partially aggregative view. (...) I then argue that the only plausible response to this reductio is to accept a fully aggregative view. (shrink)

Philosophy &Public Affairs, Volume 47, Issue 3, Page 259-287, Summer 2019.

In 'How Should We Aggregate Competing Claims', Alex Voorhoeve suggests accommodating intuitions about duties in rescue cases by combining aggregative and non-aggregative elements into one theory. In this paper, I discuss two problems Voorhoeve’s theory faces as a result of requiring a cyclic pattern of choice, and argue that his attempt to solve them does not succeed.

When one faces competing claims of varying strength on public resources for health, which claims count? This paper proposes the following answer. One should count, or aggregate, a person’s claim just in case one could sympathize with her desire to prioritize her own claim over the strongest competing claim. It argues that this principle yields appealing case judgments and has a plausible grounding in both sympathetic identification with each person, taken separately, and respect for the person for whom most is (...) at stake. It also defends this principle against several heretofore unanswered objections. (shrink)

Is there some large number of very mild hangnail pains, each experienced by a separate person, which would be worse than two years of excruciating torture, experienced by a single person? Many people have the intuition that the answer to this question is No. However, a host of philosophers have argued that, because we have no intuitive grasp of very large numbers, we should not trust such intuitions. I argue that there is decent intuitive support for the No answer, which (...) does not depend on our intuitively grasping or imagining very large numbers. (shrink)

It is plausible to claim that it is morally worse to kill an innocent person than to give any number of people a mild one‐hour headache. Alaistar Norcross has argued that consequentialists, at least, should reject this claim. According to him, any harm that can befall a person can be morally outweighed by a sufficient number of very small harms. He gives a general argument for this view, and tries to show, by means of an argument from analogy, that it (...) is less counter‐intuitive than it appears. I show that his main argument relies on a false assumption, and argue that the purported analogy is dubious. (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)

Most non-consequentialists “let the numbers count” when one can save either a lesser or greater number from equal or similar harm. But they are wary of doing so when one can save either a small number from grave harm or instead a very large number from minor harm. Limited aggregation is an approach that reconciles these two commitments. It is motivated by a powerful idea: our decision whom to save should respect each person who has a claim to our help, (...) including those whom we fail to save. However, it has recently been argued that it is open to decisive objections. I develop a new limitedly aggregative view:Hybrid Balance Relevant Claims. This view is well grounded in the reasons we have to be skeptical of aggregation and resolves all recent challenges by paying careful attention to the rationale for limited aggregation. (shrink)

Suppose that a very large number of people, say one billion, will suffer a moderately severe headache for the next twenty-four hours. For these billion people, the next twenty-four hours will be fairly unpleasant, though by no means unbearable. However, there will be no side-effects from these headaches; no drop in productivity in the work-place, no lapses in concentration leading to accidents, no unkind words spoken to loved ones that will later fester. Nonetheless, it is clearly desirable that these billion (...) people avoid the headaches. Even though the headaches are moderate, they are impervious to pain-killing drugs, acupuncture, transcendental meditation, and just about any other remedy. In fact, there is only one way in which the headaches can be avoided. In a remote South American village, a young woman, Agnes, is suffering from a fever. A simple dose of antibiotics will save her life, otherwise she will die. If, and only if, she dies, the billion headaches will be prevented. You just happen to be passing through the village, in full knowledge of the circumstances. Although not a doctor (and therefore not bound by codes of professional ethics, Hippocratic oaths, etc.), you possess the requisite dose of antibiotics, for which you have no other use, and which will become useless, if not used in the next two hours. (shrink)

In this paper, I concentrate on two themes: to what extent numbers bear on an agent's duties, and how numbers should relate to social policy. In the first half of the paper I consider the abstract case of a choice between saving two people and saving one, and my focus is on the contrast between a duty to act and a reason which merely makes an action intelligible. In the second half, I turn to the issue of social policy and (...) investigate how if at all numbers can have a bearing there, if there is no obvious duty on individuals to save the greater number. My proposal is that it is not the bare numbers themselves (or even the ratio of claimants on either side of the dilemma) which explain our intuitions in such cases, but rather considerations of the extent to which each of us can make a reasonable claim on others. In short, I argue: numbers don't count, people do. (shrink)

Several philosophers have defended versions of Minimax Complaint, or MC. According to MC, other things equal, we should act in the way that minimises the strongest individual complaint. In this paper, I argue that MC must be rejected because it has implausible implications in certain cases involving risk. In these cases, we can apply MC either ex ante, by focusing on the complaints that could be made based on the prospects that an act gives to people, or ex post, by (...) focusing on the complaints that could be made based on the actual results that an act has for people. I argue that MC has implausible implications either way. I then defend a view on which, other things equal, we should act in the way that minimizes the sum of complaints. (shrink)

Utilitarianism is often criticized because of its reliance on the interpersonal aggregation of harms and benefits. However, since the rejection of all forms of interpersonal aggregation strikes most people as implausible, some critics of utilitarianism have proposed theories of Limited Aggregation. These occupy the middle ground between fully aggregative and non-aggregative views. Recently, Limited Aggregation has been criticized for having counterintuitive implications that seem even worse than the counterintuitive implications of fully aggregative and non-aggregative views it tried to escape. I (...) here propose a new view of Limited Aggregation that does better than existing accounts in this regard. It is more modest than existing accounts of Limited Aggregation, but it retains the view's core idea. This, I claim, is the thought that sometimes very strong individual claims stand in the way of realizing the best outcome. (shrink)

University of Alberta Forthcoming in Utilias Consider Lives for Headaches: there is some number of headaches such that the relief of those headaches is sufficient to outweigh the good life of an innocent person. Lives for Headaches is unintuitive, but difficult to deny. The argument leading to Lives for Headaches is valid, and appears to be constructed out of firmly entrenched premises. In this paper, I advocate one way to reject Lives for Headaches; I defend a form of lexical superiority (...) between values. Based on an inquiry into the notion of human well-being, I argue that no amount of headaches is sufficient to outweigh the disvalue of the loss of a good life. Though this view has been thought subject to devastating objections, these objections are not dispositive against the form of value superiority I advance here. (shrink)

Book reviewed in this article: Morality, Mortality: Death and Whom to Save from It. By Frances Kamm.

Discussions of risk have assumed that risk must be modeled the same in all cases. This is a mistake. Normally, if people know that those affected by an agent’s choice have conflicting interests, th...