Arrhenius and Rabinowicz (henceforth, AR) have argued that Millian qualitative superiorities are possible without assuming that any pleasure, or type of pleasure, is infinitely superior to another. But AR's analysis is fatally flawed in the context of ethical hedonism, where the assumption in question is necessary and sufficient for Millian qualitative superiorities. Marginalist analysis of the sort pressed by AR continues to have a valid role to play within any plausible version of hedonism, provided the fundamental incoherence that infects AR's use of such analysis is removed. But what AR call ‘Millian superiorities’ are never genuine qualitative superiorities in Mill's sense. Mill scholars need to appreciate this point and recognize that the interpretation of qualitative superiorities as infinite superiorities is the only interpretation which is compatible with the text of Mill's Utilitarianism. The continuing failure to appreciate the possibility of infinite superiorities has precluded any adequate understanding of the extraordinary structure of Mill's pluralistic hedonistic utilitarianism.

James Griffin has considered a form of superiority in value that is weaker than lexical priority as a possible remedy to the Repugnant Conclusion. In this article, I demonstrate that, in a context where value is additive, this weaker form collapses into the stronger form of superiority. And in a context where value is non-additive, weak superiority does not amount to a radical value difference at all. These results are applied on one of Larry Temkin's cases against transitivity. I demonstrate that Temkin appeals to two conflicting notions of aggregation. I then spell out the consequences of these results for different interpretations of Griffin's suggestion regarding population ethics. None of them comes out very successful, but perhaps they nevertheless retain some interest.

I explore a connection between Robert Nozick's account of decision value/symbolic utility in The Nature of Rationality1 and F. P. Ramsey's discussion of ethically neutral propositions in his 1926 essay ‘Truth and Probability’,2 a discussion that Brian Skyrms in Choice and Chance3 credits with disclosing deeper foundations for expected utility than the celebrated Theory of Games and Economic Behavior4 of von Neumann and Morgenstern. Ramsey's recognition of ethically non-neutral propositions is essential to his foundational work, and the similarity of these propositions to symbolic utility helps make the case that the latter belongs to the apparatus that constructs expected utility, rather than being reducible to it or being part of a proposal that can be cheerfully ignored. I conclude that decision value replaces expected utility as the central idea in (normative) decision theory. Expected utility becomes an approximation that is good enough when symbolic utility is not at stake.

In this article I explore a kind of tragic choice that has not received due attention, one in which you have to save only one of two persons but the probability of saving is not equal (and all other things are equal). Different proposals are assessed, taking as models proposals for a much more discussed tragic choice situation: saving different numbers of persons. I hold that cases in which (only) numbers are different are structurally similar to cases in which (only) probabilities are different. After a brief defense of this claim, I conclude that some version of consequentialism seems more promising for offering a plausible solution to the probability case.

One prevailing objection to consequentialism holds that the consequentialist cannot promote both agent-neutral value and her own personal friendships: the consequentialist cannot be a genuine friend. Several versions of this objection have been advanced, but an even more sophisticated version of the charge is available. However, even this more sophisticated version fails, as it assumes a traditional, context-insensitive, account of character traits. In this article, I develop and defend a novel account of character traits that is context-sensitive and also supports a novel account of what friendship consists in. Application of the more plausible, contextual, account of character traits resolves the debate in favor of the friendly consequentialist.

G. E. Moore raised the question of whether consequentialists ought to maximize actual rather than expected value, and came down in favour of the former alternative. But rather recently Frank Jackson has presented an example which has been widely thought to clinch the case in favour of the alternative view. This article argues for a sort of compromise between these rival views, namely that while we ought to do what maximizes actual value, we ought to try to do what maximizes expected value. It is claimed that consequentialists could consistently adopt this view, though in Jackson's case they are certain that, if they try to maximize expected value, they shall most likely not maximize actual value.

A central strand in philosophical debate over the just distribution of resources attempts to juggle three competing imperatives: helping those who are worst off, helping those who will benefit the most, and then – beyond this – determining when to aggregate such ‘worst off’ and ‘benefit’ claims, and when instead to treat no such claim as greater than that which any individual by herself can exert. Yet as various philosophers have observed, ‘we have no satisfactory theoretical characterization’ as to how to weigh each of the three imperatives against one another, we find it ‘difficult to state . . . precise or comprehensive conclusions’, and we do not yet have a ‘metric for integrating the three measures’. In what follows, I offer an approach to weighing the three criteria against one another that yields resolutions – in Hard Cases of the ‘saving one infant's life versus replacing ten elderly people's hips’ sort – that are cardinally definitive, intuitively satisfactory and theoretically justified.