Often institutions or individuals are faced with decisions where not all claims can be satisfied. Sometimes, these claims will be of differing strength. In such cases, it must be decided whether or not weaker claims can be aggregated in order to collectively defeat stronger claims. Many are attracted to a view, which this chapter calls Limited Aggregation, where this is sometimes acceptable and sometimes not. A new version of this view, Local Relevance, has recently emerged. This chapter seeks to explore (...) and evaluate this view. In order to do so, the chapter offers a more precise interpretation of this basic approach, calling it ‘Sequential Claims-Matching’. The chapter shows how Sequential Claims-Matching avoids problems that dog other Limited Aggregation views but suffers from difficulties and ambiguities of its own. In particular, the chapter shows that it is hard to accommodate some core Limited Aggregation intuitions around tie-break cases within the Local Relevance view. (shrink)

Suppose you can save only one of two groups of people from harm, with one person in one group, and five persons in the other group. Are you obligated to save the greater number? While common sense seems to say ‘yes’, the numbers skeptic says ‘no’. Numbers Skepticism has been partly motivated by the anti-consequentialist thought that the goods, harms and well-being of individual people do not aggregate in any morally significant way. However, even many non-consequentialists think that Numbers Skepticism (...) goes too far in rejecting the claim that you ought to save the greater number. Besides the prima facie implausibility of Numbers Skepticism, Michael Otsuka has developed an intriguing argument against this position. Otsuka argues that Numbers Skepticism, in conjunction with an independently plausible moral principle, leads to inconsistent choices regarding what ought to be done in certain circumstances. This inconsistency in turn provides us with a good reason to reject Numbers Skepticism. Kirsten Meyer offers a notable challenge to Otsuka’s argument. I argue that Meyer’s challenge can be met, and then offer my own reasons for rejecting Otsuka’s argument. In light of these criticisms, I then develop an improved, yet structurally similar argument to Otsuka’s argument. I argue for the slightly different conclusion that the view proposed by John Taurek that ‘the numbers don’t count’ leads to inconsistent choices, which in turn provides us with a good reason to reject Taurek’s position. (shrink)

Discussion of the “problem of numbers” in morality has focused almost exclusively on the moral significance of numbers in whom-to-rescue cases: when you can save either of two groups of people, but not both, does the number of people in each group matter morally? I suggest that insufficient attention has been paid to the moral significance of numbers in other types of case. According to common-sense morality, numbers make a difference in cases, like the famous Trolley Case, where we must (...) choose whether to kill a person (or persons) as a side effect of saving a greater number. I argue that recognition of the role of numbers in killing cases forces us to reassess purported solutions to the problem of numbers. (shrink)

In this article, I critique a moral argument developed in Frances Kamm’s Intricate Ethics: Rights, Responsibilities, and Permissible Harm. The argument, which I label the Best Outcome Argument, aims to criticize the Taurekian idea that it is not worse if more people die than if fewer do in conflict situations, where it is hard to distinguish individuals from one another solely by reference to the relative strength of their claims. I argue that the Best Outcome Argument is flawed for three (...) reasons: the symmetry feature defined by the impartiality principle holds only in a limited class of conflict situations; individuals should be treated in a consistent way throughout the whole process of reasoning; comparative evaluations gained in different contexts, at least in some cases, cannot be used in one and the same argument. (shrink)

Taurek cases focus a choice between two views of permissible action, Can Save One and Must Save Many . It is argued that Taurek cases do illustrate the rationale for Can Save One , but existing views do not highlight the fact that this is because they are examples of claims grounded on non-comparative justice. To act to save the many solely because they form a group is to discriminate against the one for an irrelevant reason. That is a canonical (...) form of non-comparative injustice. The error lies in taking a contingency of some presentations of some Taurek cases, namely, that they involve distribution, to introduce the claims of comparative as opposed to non-comparative justice. But cases of non-comparative justice can, contingently, also involve distribution. In order to settle which form of justice applies it is necessary to examine the nature of the distribution involved and the nature of “classes” to which individuals can be assigned. (shrink)

This article addresses a dilemma about autonomous vehicles: how to respond to trade-off scenarios in which all possible responses involve the loss of life but there is a choice about whose life or lives are lost. I consider four options: kill fewer people, protect passengers, equal concern for survival, and recognize everyone’s interests. I solve this dilemma via what I call the new trolley problem, which seeks a rationale for the intuition that it is unethical to kill a smaller number (...) of people to avoid killing a greater number of people based on numbers alone. I argue that killing a smaller number of people to avoid killing a greater number of people based on numbers alone is unethical because it disrespects the humanity of the individuals in the smaller-numbered group. I defend the recognize-everyone’s-interests algorithm, which will probably kill fewer people but will not do so based on numbers alone. (shrink)

The three most common responses to Taurek’s ‘numbers problem’ are saving the greater number, equal chance lotteries and weighted lotteries. Weighted lotteries have perhaps received the least support, having been criticized by Scanlon What We Owe to Each Other ( 1998 ) and Hirose ‘Fairness in Life and Death Cases’ ( 2007 ). This article considers these objections in turn, and argues that they do not succeed in refuting the fairness of a weighted lottery, which remains a potential solution to (...) cases of conflict. Moreover, it shows how these responses actually lead to a new argument for weighted lotteries, appealing to fairness and Pareto-optimality. (shrink)

When facing a choice between saving one person and saving many, some people have argued that fairness requires us to decide without aggregating numbers; rather we should decide by coin toss or some form of lottery, or alternatively we should straightforwardly save the greater number but justify this in a non-aggregating contractualist way. This paper expands the debate beyond well-known number cases to previously under-considered probability cases, in which not (only) the numbers of people, but (also) the probabilities of success (...) for saving people vary. It is shown that, in these latter cases, both the coin toss and the lottery lead to what is called an awkward conclusion, which makes probabilities count in a problematic way. Attempts to avoid this conclusion are shown to lead into difficulties as well. Finally, it is shown that while the greater number method cannot be justified on contractualist grounds for probability cases, it may be replaced by another decision method which is so justified. This decision method is extensionally equivalent to maximising expected value and seems to be the least problematic way of dealing with probability cases in a non-aggregating manner. (shrink)

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. (shrink)

In this paper, I will argue that automated vehicles should not swerve to avoid a person or vehicle in its path, unless they can do so without imposing risks onto others. I will argue that this is the conclusion that we should reach even if we start by assuming that we should divert the trolley in the standard trolley case. In defence of this claim, I appeal to the distribution of moral and legal responsibilities, highlighting the importance of safe spaces, (...) and arguing in favour of constraints on what can be done to minimise casualties. My arguments draw on the methodology associated with the trolley problem. As such, this paper also defends this methodology, highlighting a number of ways in which authors misunderstand and misrepresent the trolley problem. For example, the ‘trolley problem’ is not the ‘name given by philosophers to classic examples of unavoidable crash scenarios, historically involving runaway trolleys’, as Millar suggests, and trolley cases should not be compared with ‘model building in the sciences’, as Gogoll and Müller suggest. Trolley cases have more in common with lab experiments than model building, and the problem referred to in the trolley problem is not the problem of deciding what to do in any one case. Rather, it refers to the problem of explaining what appear to be conflicting intuitions when we consider two cases together. The problem, for example, could be: how do we justify the claim that automated vehicles should not swerve even if we accept the claim that we should divert the trolley in an apparently similar trolley case? (shrink)

The ‘standard interpretation’ of John Taurek’s argument in ‘Should the Numbers Count?’ imputes two theses to him: first, ‘numbers scepticism’, or scepticism about the moral force of an appeal to the mere number of individuals saved in conflict cases; and second, the ‘equal greatest chances’ principle of rescue, which requires that every individual has an equal chance of being rescued. The standard interpretation is criticized here on a number of grounds. First, whilst Taurek clearly believes that equal chances are all-important, (...) he actually argues for a position weaker than the equal greatest chances principle. Second, the argument Taurek gives for the importance of equal chances ought to commit him to being more hospitable to the significance of numbers than he seems to be. Third, and as a result, Taurek should not have dismissed the significance of numbers but embraced a form of pluralism instead. Fourth, this result should be welcomed, because pluralism is more plausible than either the equal greatest chances principle or the saving the greater number principle. (shrink)

Suppose you find yourself in a situation in which you can either save both A and B or save only C. A, B and C are relevantly similar – all are strangers to you, none is more deserving of life than any other, none is responsible for being in a life-threatening situation, and so on. John Taurek argued that when deciding what to do in such a situation, you should flip a coin, thereby giving each of A, B and C (...) a 50% chance of survival . Only by doing this can we treat each person with the appropriate degree of respect. Taurek seemed to be employing the “Equal Greatest Chance” principle , according to which, when deciding whom to save, one must give each person the greatest possible chance of survival consistent with everyone else having the same chance. An obvious alternative is the “Save the Greater Number” principle . I describe an example that shows that EGC is false. I show that the example also demonstrates the falsity of other related views, including Jens Timmermann’s “Individualist Lottery Principle.” I conclude that SGN is true. And I extend the argument to other kinds of cases, showing that which person should be saved may depend on whether some additional well-being may be gained for someone in the process. (shrink)

Effective altruism is a movement which aims to maximise good. Effective altruists are concerned with extreme poverty and many of them think that individuals have an obligation to donate to effective charities to alleviate extreme poverty. Their reasoning, which I will scrutinise, is as follows: -/- Premise 1. Extreme poverty is very bad. -/- Premise 2. If it is in our power to prevent something very bad from happening, without thereby sacrificing anything else morally significant, we ought, morally, to do (...) it. -/- Premise 3. Individuals ought to choose the effective option in preventing very bad things. -/- Premise 4. Donating to effective charities is one of the best ways to alleviate extreme poverty. -/- Conclusion. Individuals ought to donate to effective charities working towards extreme poverty alleviation where doing so does not require them to give up anything of moral significance. -/- I will scrutinise each of these premises in turn. -/- For Premise 1, I focus on hedonistic utilitarianism and criticise its outlook on extreme poverty. I claim that hedonistic utilitarianism might be problematic for effective altruism. -/- Premise 2 is Peter Singer's Weaker Principle of Sacrifice. I introduce several possible interpretations of it, and press several objections to it by stressing overpermissiveness, luck, and rights. I defend strengthening the Weaker Principle of Sacrifice without making it overdemanding. -/- I claim that Premise 3 can be attractive to both consequentialists and non-consequentialists. Nevertheless, by showing that effectiveness sometimes violates fairness, I propose a method which avoids always helping the greater number and always giving everyone equal chances of being helped, which is compatible with effective altruism. -/- Against Premise 4, I assess the systemic change objection, which states that effective altruism unjustifiably distracts individuals from systemic change. By considering risk and the moral standing of the future extremely poor, I claim that the systemic change objection is partially successful, but cannot undermine effective altruism. -/- After analysing all of these, I argue that individuals have an obligation to donate to effective charities to alleviate extreme poverty where doing so does not require them to give up anything of moral significance. (shrink)

A very short, exegetical paper about Taurek's "Should the Numbers Count?," arguing against the view that Taurek requires giving chances.

In this thesis, I discuss the aggregation problem for T. M. Scanlon’s “contractualism”. I argue that Scanlonian contractualists have the following two options when it comes to the aggregation problem. First, they can choose to limit aggregation directly via a specific version of the Relevance View, “Sequential Claims-Matching”. Second, Scanlonian contractualists can adopt a so-called “mixed solution” of which I propose a specific version. My mixed solution does not limit aggregation. Rather, it either avoids some of the counterintuitive results in (...) certain cases, or at least makes these same results look a lot less counterintuitive by putting them into perspective thanks to a plausible plurality of precisely specified values. The stakes between these two options are as follows. The first option justifies Scanlon’s intuition in one vs. many cases of which his “World Cup Case” is one example, but it comes at the cost of a seemingly quite limited range of application: any version of the Relevance View only works in cases in which we have no more than two groups of competing claimants. The second option has the exact opposite implications: my mixed solution cannot justify Scanlon’s intuition in one vs. many cases, but it could be applied to any case with any number of groups of competing claimants. In this choice between pre-theoretical intuition and feasibility, I would urge Scanlonian contractualists to choose feasibility. (shrink)