Peter Vallentyne

I came late to philosophy and even later to normative ethics. When I started my undergraduate studies at the University of Toronto in 1970, I was interested in mathematics and languages. I soon discovered, however, that my mathematical talents were rather meager compared to the truly talented. I therefore decided to study actuarial science (the applied mathematics of risk assessment for insurance and pension plans) rather than abstract math. After two years, however, I dropped out of university, went to work for a life insurance company, and started studying on my own for the ten professional actuarial exams. When not studying, I would often go to the public library and I was drawn to the philosophy section—although I had no idea of what philosophy was about. I there saw Logical Positivism, edited by A.J. Ayer. I was interested in logical thinking and I also favored an optimistic attitude towards life (!) and so I thought that the book might be interesting. I checked it out and was absolutely enthralled with the writings of Bertrand Russell, Rudolf Carnap, Carl Hempel and others (if I’m remembering correctly). Of course, I didn’t really understand much of what they were doing, but I did see that they were addressing important problems in a systematic and rigorous manner. I liked it!

The difference principle, introduced by Rawls (1971, 1993), is generally interpreted as leximin, but this is not how he intended it. Rawls explicitly states that the difference principle requires that aggregate benefits (e.g., average or total) to those in the least advantaged group be given lexical priority over benefits to others, where the least advantaged group includes more than the strictly worst off individuals. We study the implications of adopting different approaches to the definition of the least advantaged group and show that, if acyclicity is required, several seemingly plausible approaches lead to something close to leximin. We then show that significant aggregation is possible, if the least advantaged group is defined as those with those with less benefits than some strictly positive transform of the lowest level of benefits. Finally, we discuss the implications of requiring that, in comparing two alternatives, the cutoff for the least advantaged group of one alternative be the same as that for the other alternative.

D. M. Armstrong, Michael Tooley, and Fred Dretske have recently proposed a new realist account of laws of nature, according to which laws of nature are objective relations between universals. After criticizing this account, I develop an alternative realist account, according to which (1) the nomic structure of a world is a relation between initial world-histories and world-histories, and (2) a law of nature is a fact that holds solely in virtue of nomic structure (and not, for example, in virtue of past history).

David Gauthier's Morals by Agreement is the most complete and suggestive contractarian theory of morality since the work of Rawls. In this anthology a number of prominent moral and political philosophers offer a critical assessment of Gauthier's theory and its three main projects: developing a contractarian foundation for morality, defending a theory of rational choice, and supporting the claim that rationality requires one to keep one's agreements. An introduction sets out Gauthier's project, while Gauthier himself has the last word, responding to the critiques. This collection will interest moral and political philosophers, social theorists, and specialists in the philosophy and theory of law as well as management sciences.

die). In recent years the problem of moral dilemmas has received the attention of a number of philosophers. Some authors1 argue that moral dilemmas are not conceptually possible (i.e., that they are incoherent, given the nature of the concepts involved) because they are ruled out by certain valid principles of deontic logic. Other authors2 insist that moral dilemmas are conceptually possible, and argue that therefore the principles of deontic logic that rule them out must be rejected. In arguing for or against the conceptual possibility of moral dilemmas authors have been almost exclusively concerned with obligation dilemmas, i.e., situations in which more than one action is obligatory. Almost no one has been explicitly concerned with prohibition dilemmas, i.e., situations in which no feasible action is permissible.3 I shall argue that the two types of dilemmas are distinct, and that a much stronger case can be made against the conceptual possibility of obligation dilemmas than against the conceptual possibility of prohibition dilemmas.

Suppose that time is infinitely long towards the future, and that each feasible action produces a finite amount of utility at each time. Then, under appropriate conditions, each action produces an infinite amount of utility. Does this mean that utilitarianism lacks the resources to discriminate among such actions? Since each action produces the same infinite amount of utility, it seems that utilitarianism must judge all actions permissible, judge all actions impermissible, or remain completely silent. If the future is infinite, that is, the prospects for utilitarianism look bleak

Can material Egalitarianism (requiring, for example, the significant promotion of fortune) include animals in the domain of the equality requirement? The problem can be illustrated as follows: If equality of wellbeing is what matters, and normal mice are included in this egalitarian requirement, then normal mice have a much stronger claim to resources than almost any human. This is because normal mice have a much stronger claim to resources than almost any human. This is because their wellbeing is much lower than that of normal humans. Thus, equality of wellbeing requires a massive shift of resources away from most humans to mice. This view, however, seems crazy. I explore this problem and propose a solution.

In the old days, material egalitarians tended to favor equality of outcome advantage, on some suitable conception of advantage. Under the influence of Dworkin’s seminal articles on equality, contemporary material egalitarians have tended to favor equality of brute luck advantage---on the grounds that this permits people to be held appropriately accountable for the benefits and burdens of their choices. I shall argue, however, that a plausible conception of egalitarian justice requires neither that brute luck advantage always be equalized nor that people always bear the full cost of their voluntary choices. Instead, justice requires that initial opportunities for advantage be equalized---roughly along the lines suggested by Arneson and Cohen. Brute luck egalitarianism and initial opportunity egalitarianism are fairly similar in motivation, and as a result they have not been adequately distinguished. Once the two views are more clearly contrasted, equality of opportunity for advantage will, I claim, be seen to be a more plausible conception of equality.

We address the question of how finitely additive moral value theories (such as utilitarianism) should rank worlds when there are an infinite number of locations of value (people, times, etc.). In the finite case, finitely additive theories satisfy both Weak Pareto and a strong anonymity condition. In the infinite case, however, these two conditions are incompatible, and thus a question arises as to which of these two conditions should be rejected. In a recent contribution, Hamkins and Montero (2000) have argued in favor of an anonymity-like isomorphism principle and against Weak Pareto. After casting doubt on their criticism of Weak Pareto, we show how it, in combination with certain other plausible principles, generates a plausible and fairly strong principle for the infinite case. We further show that where locations are the same in all worlds, but have no natural order, this principle turns out to be equivalent to a strengthening of a principle defended by Vallentyne and Kagan (1997), and also to a weakened version of the catching-up criterion developed by Atsumi (1965) and by von Weizsäcker (1965). Footnotes1 For valuable comments, we would like to thank Marc Fleurbaey, Bart Capéau, Joel Hamkins, Barbara Montero, Tim Mulgan, and two anonymous referees for this journal.

Traditional act utilitarianism judges an action permissible just in case it produces as much aggregate utility as any alternative. It is often supposed that utilitarianism faces a serious problem if the future is infinitely long. For in that case, actions may produce an infinite amount of utility. And if that is so for most actions, then utilitarianism, it appears, loses most of its power to discriminate among actions. For, if most actions produce an infinite amount of utility, then few actions produce non-maximal utility, and so most actions are permissible.1 I will argue that potentially infinite futures create no major problems for utilitarianism. Utilitarianism has, I argue, the resources to distinguish among actions all of which produce infinite amounts of utility -- judging some permissible and some impermissible. For brevity of expression I will focus on act utilitarianism, but all the points apply equally well to many other traditional forms of utilitarianism

Amartya Sen and Martha Nussbaum have argued that justice is concerned, at least in part, with the distribution of capabilities (opportunities to function). Richard Arneson, G.A. Cohen, and John Roemer have argued that justice is concerned with something like the distribution of opportunities for well-being. I argue that, although some versions of the capability view are incompatible with some versions of the opportunity for well-being view, the most plausible version of the capability view is identical to a slight generalization of the opportunity for well-being view.

Egalitarian theories of justice hold that equality should be promoted. Typically, perfect equality will not be achievable, and it will be necessary to determine which of various unequal distributions is the most equal. All plausible conceptions of equality hold that, where perfect equality does not obtain, (1) any benefit (no matter how small) to a worst-off person that leaves him/her still a worst-off person has priority (with respect to equality promotion) over any benefit (no matter how large) to a best-off person, and (2) any benefit to a worse-off person (even if not a worst-off person) has priority over a benefit of the same size to a better off person (even if not a best-off person). Beyond that there is much disagreement.

and Overview In an earlier book, Weighing Goods1, John Broome gave a sophisticated defense of utilitarianism for the cases involving a fixed population. In the present book, Weighing Lives, he extends this defense to variable population cases, where different individuals exist depending on which choice is made. Broome defends a version of utilitarianism according to which there is a vague positive level of individual wellbeing such that adding a life with more than that level of wellbeing makes things morally better and adding a life with less than that level makes things morally worse. This version of utilitarianism avoids the extreme—but perhaps not all— forms of the repugnant conclusion that the usual total version faces. As usual, Broome’s work combines logical rigor with deep philosophical insight. There is much to learn from it. Nonetheless, I shall identify some problematic conditions used by Broome to derive utilitarianism and suggest that Broome’s version of utilitarianism has implausible implications

Where there are infinitely many possible [equiprobable] basic states of the world, a standard probability function must assign zero probability to each state—since any finite probability would sum to over one. This generates problems for any decision theory that appeals to expected utility or related notions. For it leads to the view that a situation in which one wins a million dollars if any of a thousand of the equally probable states is realized has an expected value of zero (since each such state has probability zero). But such a situation dominates the situation in which one wins nothing no matter what (which also has an expected value of zero), and so surely is more desirable. I formulate and defend some principles for evaluating options where standard probability functions cannot strictly represent probability—and in particular for where there is an infinitely spread, uniform distribution of probability. The principles appeal to standard probability functions, but overcome at least some of their limitations in such cases.

G.A. Cohen’s book brings together and elaborates on articles that he has written on selfownership, on Marx’s theory of exploitation, and on the future of socialism. Although seven of the eleven chapters have been previously published (1977-1992), this is not merely a collection of articles. There is a superb introduction that gives an overview of how the chapters fit together and of their historical relation to each other. Most chapters have a new introduction and often a postscript or addendum that connect them with other chapters. And the four new chapters (on justice and market transactions, exploitation in Marx, the concept of self-ownership, and the plausibility of the thesis of self-ownership) are important contributions that round out and bring closure to many of the central issues. As always with Cohen, the writing is crystal clear, and full of compelling examples, deep insights, and powerful arguments. Cohen has long been recognized as one of the most important exponents of analytic Marxism. His innovative, rigorous, and exciting interpretations of Marx’s theories of history and of exploitation have had a major impact on Marxist scholarship. Starting in the mid-1970s he has increasingly turned his attention to normative political philosophy. As Cohen describes it, he was awakened from his “dogmatic socialist slumbers” by Nozick’s famous Wilt Chamberlain example in which people starting from a position of equality (or other favored patterned distribution) freely choose to pay to watch Wilt Chamberlain play, and the net result is inequality (or other unfavored pattern). During the subsequent twenty years, political 1 philosophy has benefited from his thinking about the nature and plausibility of the thesis of selfownership, and about the scope and demands of equality. In what follows I will focus solely on the material dealing with self-ownership, but first I shall mention some of the interesting material on Marxism and socialism that I will be ignoring. First, at various points Cohen discusses how something like a principle of self-ownership is latent in the standard Marxist condemnation of capitalist exploitation (e.g., the capitalist steals labor time from the laborer)..

In a narrow sense, hate speech is symbolic representation that expresses, hatred, contempt, or disregard for another person or group of persons. The use of deeply insulting racial or ethnic epithets is an example of such hate speech. In a broader sense, hate speech also includes the symbolic representation of views are deeply offensive to others. The expression of the view that women are morally inferior to (or less intelligent than) men is example of hate speech in the broader sense. The question I shall address is this: What should be done about hate speech in the broad sense in a free and open society?

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