It is often assumed that morally permissible acts are morally better than impermissible acts. We call this claim Betterness of Permissibility. Yet, we show that some striking counterexamples show that the claim’s truth cannot be taken for granted. Furthermore, even if Betterness of Permissibility is true, it is unclear why. Apart from appeals to its intuitive plausibility, no arguments in favour of the condition exist. We fill this lacuna by identifying two fundamental conditions that jointly entail betterness of permissibility: ‘reasons (...) monotonicity of permissibility’ and the ‘weak classical view’. We then argue that there are good reasons for accepting both of the fundamental conditions. We note that there exist plausible moral theories that reject one of the fundamental conditions. However, the way in which those theories reject the fundamental conditions does not allow them to endorse the counterexamples that motivate the belief that Betterness of Permissibility might be false. (shrink)

How ought you to evaluate your options if you're uncertain about what's fundamentally valuable? A prominent response is Expected Value Maximisation (EVM)—the view that under axiological uncertainty, an option is better than another if and only if it has the greater expected value across axiologies. But the expected value of an option depends on quantitative probability and value facts, and in particular on value comparisons across axiologies. We need to explain what it is for such facts to hold. Also, EVM (...) is by no means self-evident. We need an argument to defend that it’s true. This book introduces an axiomatic approach to answer these worries. It provides an explication of what EVM means by use of representation theorems: intertheoretic comparisons can be understood in terms of facts about which options are better than which, and mutatis mutandis for intratheoretic comparisons and axiological probabilities. And it provides a systematic argument to the effect that EVM is true: the theory can be vindicated through simple axioms. The result is a formally cogent and philosophically compelling extension of standard decision theory, and original take on the problem of axiological or normative uncertainty. (shrink)

When one faces competing claims of varying strength on public resources for health, which claims count? This paper proposes the following answer. One should count, or aggregate, a person’s claim just in case one could sympathize with her desire to prioritize her own claim over the strongest competing claim. It argues that this principle yields appealing case judgments and has a plausible grounding in both sympathetic identification with each person, taken separately, and respect for the person for whom most is (...) at stake. It also defends this principle against several heretofore unanswered objections. (shrink)

According to the Competing Claims View we decide between alternatives by looking at the competing claims held by affected individuals. The strength of these claims is a function of two features: how much they stand to benefit by each alternative, and how badly off they would be in its absence. The view can be, and is, endorsed by both egalitarians and prioritarians. For the former the second condition will concern looking at how badly off the person is relative to others, (...) whereas for the latter it will be how badly off she is in absolute terms. In this paper I want to argue that neither should be endorsed. The egalitarian version of CCV breaks down when attempting to assess the competing claims of possible persons who may never exist. Also, the view, on at least one plausible interpretation, leads to intransitive judgements. The prioritarian version of CCV, in turn, is vulnerable to its own unique objection, namely delivering an anti-prioritarian and rather implausible verdict in certain Single Person Cases. (shrink)

According to the mixed lexicographic/additive account of ‘better than’ and similar aggregative value comparatives like ‘healthier than’, values are multidimensional and different aspects of a value are aggregated into an overall assessment in a lexicographic way, based on an ordering of value aspects. It is argued that this theory can account for an acceptable definition of Chang’s notion of parity and that it also offers a solution to Temkin’s and Rachels’s Spectrum Cases without giving up the transitivity of overall betterness. (...) Formal details and proofs are provided in an “Appendix”. (shrink)

Larry Temkin famously argues that what he calls spectrum arguments yield strong reason to reject Transitivity, according to which the ‘all-things-considered better than’ relation is transitive. Spectrum arguments do reveal that the conjunctions of independently plausible claims are inconsistent with Transitivity. But I argue that there is very strong independent reason to reject such conjunctions of claims, and thus that the fact that they are inconsistent with Transitivity does not yield strong reason to reject Transitivity.

In 'How Should We Aggregate Competing Claims', Alex Voorhoeve suggests accommodating intuitions about duties in rescue cases by combining aggregative and non-aggregative elements into one theory. In this paper, I discuss two problems Voorhoeve’s theory faces as a result of requiring a cyclic pattern of choice, and argue that his attempt to solve them does not succeed.

Is well-being the kind of thing that can be summed across individuals? This paper takes a measurement-theoretic approach to answering this question. To make sense of adding well-being, we would need to identify some natural "concatenation" operation on the bearers of well-being that satisfies the axioms of extensive measurement and can therefore be represented by the arithmetic operation of addition. I explore various proposals along these lines, involving the concatenation of segments within lives over time, of entire lives led alongside (...) one another or in sequence, and of evaluatively basic propositions via conjunction. All of these proposals turn out to carry highly controversial commitments about the good. I do not claim that these commitments are unacceptable. But they suggest that we cannot simply take for granted, as many philosophers do, that there is any such thing as the sum of well-being. (shrink)

Is there any number of people you should save from paralysis rather than saving one person from death? Is there any number of people you should save from a migraine rather than saving one person from death? Many people answer ‘yes’ and ‘no’, respectively. The aim of partially aggregative moral views is to capture and justify combinations of intuitions like these. These views contrast with fully aggregative moral views, which imply that the answer to both questions is ‘yes’, and with (...) non-aggregative moral views, which imply that the answer to both questions is ‘no’. In this paper, I review the most natural and influential ways of developing partially aggregative views and explain the main problems they face. (shrink)

The essentially comparative conception of value entails that the value of a state of affairs does not depend solely upon features intrinsic to the state of affairs, but also upon extrinsic features, such as the set of feasible alternatives. It has been argued that this conception of value gives us reason to abandon the transitivity of the better than relation. This paper shows that the support for intransitivity derived from this conception of value is very limited. On its most plausible (...) interpretations, it merely provides a necessary, but not sufficient, condition for intransitivity. It is further argued that the essentially comparative conception of value appears to support a disjunctive conclusion: there is incommensurability of value or betterness is not transitive. Of these two alternatives, incommensurability is preferable, because it is far less threatening to our other axiological commitments. (shrink)

Principles of need are constantly referred to in health care priority setting. The common denominator for any principle of need is that it will ascribe some kind of special normative weight to people being worse off. However, this common ground does not answer the question how a plausible principle of need should relate to the aggregation of benefits across individuals. Principles of need are sometimes stated as being incompatible with aggregation and sometimes characterized as accepting aggregation in much the same (...) way as utilitarians do. In this paper we argue that if one wants to take principles of need seriously both of these positions have unreasonable implications. We then characterize and defend a principle of need consisting of sufficientarian elements as well as prioritarian which avoids these unreasonable implications. (shrink)

I argue for the principle of Anonymity, according to which two populations are equally good whenever they have the same anonymous distribution of wellbeing. I first show that, given transitivity of the at-least-as-good-as relation, Anonymity is entailed by the ``Non-Identity Principle'', according to which the consequence of bringing better rather than worse lives into existence is, all else equal, better. I then argue for the Non-Identity Principle on the basis that if it were false, it would follow that we fail (...) to improve the world when we make existing people better off, while at the same time replacing worse-off future people with different better-off future people. Since this is implausible, we should accept the Non-Identity Principle, and therefore Anonymity as well. (shrink)

The concept of exploitation brings many of our ordinary moral intuitions into conflict. Exploitation—or to use the commonly accepted ordinary language definition, taking unfair advantage—is often thought to be morally impermissible. In order to be permissible, transactions must not be unfair. The claim that engaging in mutually beneficial transactions is morally better than not transacting is also quite compelling. However, when combined with the claim that morally permissible transactions are better than impermissible transactions, these three imply the counterintuitive claim that (...) it is obligatory to engage in mutually beneficial transactions. In this paper I outline the conditions that comprise this ‘paradox of exploitation’ along with a solution that involves replacing one of the original conditions with a condition I call Weak Non-worseness. The solution captures the priority of our concerns about exploitation by making a concern for the fairness of a transaction subsidiary to a concern for the welfare of the would-be exploited. (shrink)

Recently, Derek Parfit has offered a novel solution to the “Repugnant Conclusion” that compared with the existence of many people whose quality of life would be very high, there is some much larger number of people whose existence would be better but whose lives would be barely worth living. On this solution, qualitative differences between two populations will often entail that the populations are merely “imprecisely” comparable. According to Parfit, this fact allows us to avoid the Repugnant Conclusion without violating (...) the transitivity of better than. In this paper, I argue that Parfit’s view nevertheless implies two objectionable conclusions. The first is an alternative version of the Repugnant Conclusion that, Parfit suggests, may not be all that repugnant. The second is a revised version of the first that is nearly identical to the Repugnant Conclusion. I conclude that Parfit’s view offers no escape from repugnance. (shrink)

We present a new “reason-based” approach to the formal representation of moral theories, drawing on recent decision-theoretic work. We show that any moral theory within a very large class can be represented in terms of two parameters: a specification of which properties of the objects of moral choice matter in any given context, and a specification of how these properties matter. Reason-based representations provide a very general taxonomy of moral theories, as differences among theories can be attributed to differences in (...) their two key parameters. We can thus formalize several distinctions, such as between consequentialist and non-consequentialist theories, between universalist and relativist theories, between agent-neutral and agent-relative theories, between monistic and pluralistic theories, between atomistic and holistic theories, and between theories with a teleological structure and those without. Reason-based representations also shed light on an important but under-appreciated phenomenon: the “underdetermination of moral theory by deontic content”. (shrink)

Temkin's Essentially Comparative View of moral ideals says that goodness is comparison set dependent: the goodness of an outcome is relativized to a set of outcomes. This view does not entail that betterness is intransitive; indeed, it provides the resources for maintaining transitivity. However, it does entail that the structure of goodness is more complex than is standardly supposed. It thereby demands a modification of the standard connection between goodness and decision. I set out this challenge, canvas some options, and (...) show that Temkin vacillates between two of them. (shrink)

Even philosophers of religion working on the problem of non-human animal suffering have ignored the suffering of creatures like insects. Sensible as this seems, it’s mistaken. I am not sure whether creatures like these can suffer, but it is plausible, on both commonsensical and scientific and philosophical grounds, that many of them can. If they do, their suffering makes the problem of evil much worse: their vast numbers mean the amount of evil in the world will almost certainly be increased (...) by many, many orders of magnitude, the fact that disproportionately many of them live lives which are nasty, brutish, and short means that the proportion of good to evil in the world will be drastically worsened, and their relative lack of cognitive sophistication means that many theodicies, including many specifically designed to address animal suffering, would apply to their suffering only with much greater difficulty, if at all. Philosophers of religion should therefore more seriously investigate whether these beings can suffer and what, if anything, could justify God in allowing as much. (shrink)

The voting paradox occurs when a democratic society seeking to aggregate individual preferences into asocialpreference reaches an intransitive ordering. However it is not widely known that the paradox may also manifest for anindividualaggregating over attributes of risky objects to form a preference over those objects. When this occurs, the relation ‘stochastically greater than’ is not always transitive and so transitivity need not hold between those objects. We discuss the impact of other decision paradoxes to address a series of philosophical and (...) economic arguments against intransitive (cyclical) choice, before concluding that intransitive choices can be justified. (shrink)

Haecceitism is the thesis that, necessarily, in addition to its qualities, each thing has a haecceity or individual essence. The purpose of this paper is to expose a flaw in haecceitism: it entails that familiar cases of fission and fusion either admit of no explanation or else only admit of explanations too bizarre to warrant serious consideration. Because the explanatory problem we raise for haecceitism closely resembles the Euthyphro problem for divine command theory, we refer to our objection as the (...) haecceitic Euthyphro problem, or the Haecceitic Euthyphro for short. We conclude that the objection is decisive against haecceitism. (shrink)

There is a well-known moral quandary concerning how to account for the rightness or wrongness of acts that clearly contribute to some morally significant outcome – but which each seem too small, individually, to make any meaningful difference. One consequentialist-friendly response to this problem is to deny that there could ever be a case of this type. This paper pursues this general strategy, but in an unusual way. Existing arguments for the consequentialist-friendly position are sorites-style arguments. Such arguments imagine varying (...) a subject’s predicament bit by bit until it is clear that a relevant difference has been achieved. The arguments offered in this paper are structurally different, and do not rely on any sorites series. For this reason, they are not vulnerable to objections that have been leveled against the sorites-style arguments. (shrink)

When people must either save a greater number of people from a smaller harm or a smaller number from a greater harm, do their choices reflect a reasonable moral outlook? We pursue this question with the help of an experiment. In our experiment, two-fifths of subjects employ a similarity heuristic. When alternatives appear dissimilar in terms of the number saved but similar in terms of the magnitude of harm prevented, this heuristic mandates saving the greater number. In our experiment, this (...) leads to choices that are inconsistent with all standard theories of justice. We argue that this demonstrates the untrustworthiness of distributive judgments in cases that elicit similarity-based choice. (shrink)

:Preference-aggregation problems arise in various contexts. One such context, little explored by social choice theorists, is metaethical. ‘Ideal-advisor’ accounts, which have played a major role in metaethics, propose that moral facts are constituted by the idealized preferences of a community of advisors. Such accounts give rise to a preference-aggregation problem: namely, aggregating the advisors’ moral preferences. Do we have reason to believe that the advisors, albeit idealized, can still diverge in their rankings of a given set of alternatives? If so, (...) what are the moral facts when the advisors do diverge? These questions are investigated here using the tools of Arrovian social choice theory. (shrink)

This thesis discusses the possibility of limited moral trade-offs between different people’s welfare. In chapter 2, I introduce the two central limited trade-off conditions. First, according to minimal infinite superiority, significantly benefiting one person matters more than slightly benefiting each of any number of better-off people. Second, according to minimal finite superiority, significantly benefiting many people matters more than slightly benefiting one person. I consider both axiological and deontic interpretations of these conditions. However, I explain why none of the simple (...) classic moral principles—the simple total and the maximin principles—satisfy both conditions. Furthermore, in chapter 3, I strengthen several proved impossibility results according to which no moral theory satisfies weak interpretations of these central trade-off conditions and several other seemingly plausible minimal conditions. I show that giving up structural axiological and deontic conditions is not a satisfactory solution to these paradoxes. In chapter 4, I discuss the modification of a background assumption of these impossibility results on the measurement of welfare. I show that, given a modification that allows for lexicographically ordered welfare components, a total principle can satisfy all the conditions of the impossibility results. However, I argue that such a modification is not entirely satisfactory because it does not apply in certain instances of the paradoxes. In chapter 5, I discuss a further weakening of minimal infinite superiority. However, I show that a suggested possibility result based on this modification is not valid and that further moral conditions, such as minimal finite superiority, need to be modified. Moreover, I argue that these modified conditions and the principle suggested in the possibility proof—a minimax complaint principle—do not capture the basic idea of the two central limited trade-off conditions sufficiently well. In chapter 6, I argue that other principles suggested for the task—the total claim principles—share the same fate as the simple total principles or the minimax complaint principle. In chapter 7, I propose new principles that take their structural roots from voting theory. I show that, in contrast to the other principles discussed, these principles give plausible verdicts where the other principles failed. Finally, in chapter 8, I consider possible objections levelled against this proposal, and I suggest solutions and avenues for future research. (shrink)

At first sight, if A is all-things-considered better than B and B is all-things-considered better than C, the judgment that A is all-things-considered better than C seems to follow. This should be a straight-forward consequence of the transitivity of the \all-things-considered better than" relation. However, if we deny that transitivity is a logical axiom of those relations involving comparatives, then it might turn out that betterness is not transitive. Following Temkin's terminology, a relation R will be de ned as nontransitive (...) i either it is intransitive (i.e. aRb and bRc yet :(aRc)) or if transitivity cannot be applied, for there is no single relation R that holds between all the alternatives. More spefici cally, this could happen in a case where the obtaining of the better-than relation depends on different factors according to the nature of the relata. As a result, there are two main strategies available to question the axiom of transitivity: the rst is by providing an effective counterexample displaying cRa as well as (aRb ^ bRc), hence yielding a cycle. The second, more general way, is to show that all-things-considered betterness is a relation that conceptually involves comparison-dependent betterness relations, so that it is likely that transitivity fails to apply across different alternatives. The aim of this paper is to investigate part of the recent attack on the transitivity of better than, to conclude that there seems to be no cogent reason why this would not be a transitive relation. (shrink)