Lexical views in population axiology can avoid the Repugnant Conclusion without violating Transitivity or Separability. However, they imply a dilemma: either some good life is better than any number of slightly worse lives, or else the ‘at least as good as’ relation on populations is radically incomplete. In this paper, I argue that Archimedean views face an analogous dilemma. I thus conclude that the lexical dilemma gives us little reason to prefer Archimedean views. Even if we give up on lexicality, (...) problems of the same kind remain. (shrink)

According to Critical-Level Views in population axiology, an extra life improves a population only if that life’s welfare exceeds some fixed ‘critical level.’ An extra life at the critical level leaves the new population equally good as the original. According to Critical-Range Views, an extra life improves a population only if that life’s welfare exceeds some fixed ‘critical range.’ An extra life within the critical range leaves the new population incommensurable with the original. -/- In this paper, I sharpen some (...) old objections to these views and offer some new ones. Critical-Level Views cannot avoid certain Repugnant and Sadistic Conclusions. Critical-Range Views imply that lives featuring no good or bad components whatsoever can nevertheless swallow up and neutralise goodness or badness. Both classes of view entail that certain small changes in welfare correspond to worryingly large differences in contributive value. -/- I then offer a view that retains much of the appeal of Critical-Level and Critical-Range Views while avoiding the above pitfalls. On the Imprecise Exchange Rates View, the quantity of some good required to outweigh a given unit of some bad is imprecise. This imprecision is the source of incommensurability between lives and populations. (shrink)

We argue that all comparative expressions in natural language obey a principle that we call Comparability: if x and y are at least as F as themselves, then either x is at least as F as y or y is at least as F as x. This principle has been widely rejected among philosophers, especially by ethicists, and its falsity has been claimed to have important normative implications. We argue that Comparability is needed to explain the goodness of several patterns (...) of inference that seem manifestly valid, that the purported failures of Comparability would have absurd consequences, and that the influential arguments against Comparability are less compelling than they may have initially seemed. (shrink)

Critical-Range Utilitarianism is a variant of Total Utilitarianism which can avoid both the Repugnant Conclusion and the Sadistic Conclusion in population ethics. Yet Standard Critical-Range Utilitarianism entails the Weak Sadistic Conclusion, that is, it entails that each population consisting of lives at a bad well-being level is not worse than some population consisting of lives at a good well-being level. In this paper, I defend a version of Critical-Range Utilitarianism which does not entail the Weak Sadistic Conclusion. This is made (...) possible by a fourth category of absolute value in addition to goodness, badness, and neutrality. (shrink)

Values are incommensurable when they cannot be measured on a single cardinal scale. Many philosophers suggest that incommensurability can help us solve the problems of population ethics. I agree. But some philosophers claim that populations bear incommensurable values merely because they contain different numbers of people, perhaps within some range. I argue that mere differences in how many people exist, even within some range, do not suffice for incommensurability. I argue that the intuitive neutrality of creating happy people is better (...) captured by a version of average utilitarianism. But this view is problematic. So I suggest a version of total utilitarianism that avoids the repugnant conclusion by appealing to incommensurable dimensions of wellbeing. (shrink)

Advances in technology have made it possible for us to take actions that affect the numbers and identities of humans and other animals that will live in the future. Effective and inexpensive birth control, child allowances, genetic screening, safe abortion, in vitro fertilization, the education of young women, sterilization programs, environmental degradation and war all have these effects. Although it is true that a good deal of effort has been devoted to the practical side of population policy, moral theory has (...) not dealt adequately with the new possibilities. The dilemma faced by moral theory is that traditional theories cannot answer moral questions involving the creation of people. Two related problems arise. The first concerns numbers: how many people should there be? The second asks what sort of people should live and what their levels of well-being should be. Conventional social-contract theories, including the work of Rawls (1971), are restricted to situations with a fixed number of individuals. Sumner (1978) attempts to extend a Rawlsian veil-of-ignorance approach to possible people but is aware of the difficulties involved. The main problem is that possible people must be thought to benefit when they move from non-existence to existence, a view that we reject (see Section 1, Heyd, 1992, Chapter 1; McMahan, 1996a; Parfit, 1984, Appendix G). Rights-based and duty-based theories suffer from a similar problem; there must be a person who has the right or a person to whom the duty is owed (see McMahan, 1981). (shrink)

This article examines several families of population principles in the light of a set of axioms. In addition to the critical-level utilitarian, number-sensitive critical-level utilitarian, and number-dampened utilitarian families and their generalized counterparts, we consider the restricted number-dampened family and introduce two new ones: the restricted critical-level and restricted number-dependent critical-level families. Subsets of the restricted families have non-negative critical levels, avoid the `repugnant conclusion' and satisfy the axiom priority for lives worth living, but violate an important independence condition.

This paper uses a formal analysis of the relation of ‘parity’ to make sense of a well-known solution to Parfit’s ‘mere addition paradox’. This solution is sometimes dismissed as a recourse to ‘incomparability’. In this analysis, however, the solution is consistent with comparability, as well as transitivity of ‘better than’. The analysis is related to Blackorby, Bossert and Donaldson’s ‘incomplete critical-level generalised utilitarianism’ (ICLGU). ICLGU is inspired by Parfit’s work and can be related to the analysis of parity, though the (...) distinctive ‘mark’ of parity suggests that the boundaries of a set of critical levels is not exact. One has to allow for vagueness to make an account based on parity plausible. These accounts are then contrasted with Broome’s view which also involves vagueness. (shrink)

Many theories of fairness distinguish between compensation factors and responsibility factors. Whereas the distinction between both types of factors is a matter of definition in theory, empirical work usually requires a sharp cut. All determinants of the outcome of interest have to be classified as either a compensation factor or a responsibility factor. We argue that the determinants are often hard to classify. A pragmatic solution to the problem at hand is to introduce a more general soft cut: determinants can (...) be partly compensation, partly responsibility. Still, in a first-best income tax framework, such a soft cut is possible only if the gross income function is additively separable. In case separability fits the data, a simple partial sharing rule emerges as a natural candidate for partial redistribution. This rule can be characterized on the basis of two simple properties, equal treatment of equals and partial solidarity. In case additive separability is rejected by the data, we propose two alternative solutions. (shrink)