John Taurek argues that, in a choice between saving the many or the few, the numbers should not count. Some object that this view clashes with the transitivity of ‘better than’; others insist the clash can be avoided. I defend a middle ground: Taurek cannot have transitivity, but that doesn’t doom his view, given a suitable conception of value. I then formalize and explore two conceptions: one context-sensitive, one multidimensional.

Open access-introduction into moral philosophy in German language that contains chapters on the concept of morality, on the development and the main positions of normative ethics, on meta-ethics, and on the various fields of applied ethics. One of its distinctive features is that it explicitly reflects on the role of morality and ethics in modern society and that it analyses the import of alternative conceptual and normative positions for determining this role. The book can be freely downloaded from the publisher's (...) website via the URL below. (shrink)

Chapter 1 of this book argued that moral philosophy should be based on seven principles of theory selection adapted from the sciences. Chapter 2 argued that these principles support basing normative moral philosophy on a particular problem of diachronic instrumental rationality: the ‘problem of possible future selves.’ Chapter 3 argued that a new moral principle, the Categorical-Instrumental Imperative, is the rational solution to this problem. Chapter 4 argued that the Categorical-Instrumental Imperative has three equivalent formulations akin to but superior to (...) Kant’s formulations of the Categorical Imperative. Chapter 5 argued that my principle’s three formulations make it rational to adopt a Moral Original Position to derive moral principles. The present chapter derives Four Principles of Fairness from the Moral Original Position--principles of coercion minimization, mutual assistance, fair negotiation, and virtue—and unifies them into a single principle of rightness: Rightness as Fairness. Finally, this chapter argues that Rightness as Fairness entails a novel approach to applied ethics called ‘principled fair negotiation’, illustrating how the theory provides a plausible new framework for addressing applied cases including lying, suicide, trolleys, torture, distribution of scarce resources, poverty, and the ethical treatment of animals. (shrink)

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

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)

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)

After 50 years of debate, the ethics of aggregation has reached a curious stalemate, with both sides arguing that only their theory treats people as equals. I argue that, on the issue of equality, both sides are wrong. From the premise that “each counts for one,” we cannot derive the conclusion that “more count for more” or its negation. The familiar arguments from equality to aggregation presuppose more than equality: the Kamm/Scanlon “Balancing Argument” rests on what social choice theorists call (...) “(Positive) Responsiveness,” Kamm’s “Aggregation Argument” assumes that “equal” lives are fungible, and Hsieh et al. have it that spreading goods broadly best approximates equality. In each case, the crucial premise is not equality itself but a further idea that Taurek, I argue, can safely reject. I conclude with a conjecture: there is no theory-neutral argument that settles the question of whether the numbers count. (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)

This paper examines the efforts of contractualists to develop an alternative to aggregation to govern our duty not to harm (duty to rescue) others. I conclude that many of the moral principles articulated in the literature seem to reduce to aggregation by a different name. Those that do not are viable only as long as they are limited to a handful of oddball cases at the margins of social life. If extended to run-of-the-mill conduct that accounts for virtually all unintended (...) (in the sense of undesired) harm to others—noncriminal activities that impose some risk of harm on others—they would rule out all action. Moreover, because such conduct poses an irreducible conflict between freedom of action and freedom from expected harm, it can be regulated only by principles that accept the necessity of making precisely the sorts of interpersonal trade-offs that contractualism is foundationally committed to reject: trade-offs in which the numbers count, such that a risk of serious harm to one person can be justified by small benefits to the many. (shrink)

Those who commit crime on a grand scale, numbering their victims in the thousands, seem to pose a special problem both for consequentialist and for non-consequentialist theories of punishment, a problem the International Criminal Court makes practical. This paper argues that at least one non-consequentialist theory of punishment, the fairness theory, can provide a justification of punishment for great crimes. It does so by dividing the question into two parts, the one of proportion which it answers directly, and the other (...) of ‘anchoring points’ which it assigns to a broader theory of enforcement (which may have a non-consequentialist or consequentialist version). (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)

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)