Many of us believe (1) Saving a life is more important than averting any number of headaches. But what about risky cases? Surely: (2) In a single choice, if the risk of death is low enough, and the number of headaches at stake high enough, one should avert the headaches rather than avert the risk of death. And yet, if we will face enough iterations of cases like that in (2), in the long run some of those small risks of (...) serious harms will surely eventuate. And yet: (3) Isn't it still permissible for us to run these repeated risks, despite that knowledge? After all, if it were not, then many of the risky activities that we standardly think permissible would in fact be impermissible. Nobody has yet offered a principle that can accommodate all of 1-3. In this paper, I show that we can accommodate all of these judgements, by taking into account both ex ante and ex post perspectives. In doing so, I clear aside an important obstacle to a viable deontological decision theory. (shrink)

Many believe that we ought to save a large number from being permanently bedridden rather than save one from death. Many also believe that we ought to save one from death rather than a multitude from a very minor harm, no matter how large this multitude. I argue that a principle I call “Aggregate Relevant Claims” satisfactorily explains these judgments. I offer a rationale for this principle and defend it against objections.

Many think that it would be wrong to defend an individual from attack if he competently and explicitly refuses defensive intervention. In this paper, I consider the extent to which the preferences of victims affect the permissibility of defending groups or aggregates. These cases are interesting and difficult because there is no straightforward sense in which a group can univocally consent to or refuse defensive intervention in the same way that an individual can. Among those who have considered this question, (...) the dominant view is that that consent imposes only an extremely weak constraint on defending groups. I argue that this is mistaken and defend a much more robust requirement. Indeed, on the account that I develop there are cases in which the refusal of a single member of a victim is enough to make it impermissible to defend a much larger group. At the heart of my account is the idea that consent functions as an internal component of the broader requirement that defensive harms be proportionate: if a victim validly refuses defensive intervention, the fact that defence will benefit him cannot be used to justify harming innocents as the lesser-evil. An important implication of this view is that what constitutes sufficient consent from the members of a victim group will vary on a case-by-case basis. (shrink)

Suppose we can save either a larger group of persons or a distinct, smaller group from some harm. Many people think that, all else equal, we ought to save the greater number. This article defends this view (with qualifications). But unlike earlier theories, it does not rely on the idea that several people's interests or claims receive greater aggregate weight. The argument starts from the idea that due to their stakes, the affected people have claims to have a (...) say in the rescue decision. As rescuers, our primary duty is to respect these procedural claims, which we must do by doing what these people would decide, in a process where each is given an equal vote on the matter. So in cases where each votes in their own self-interest, respect for their equal right to decide, or their autonomy, will lead us to save the greater number. The argument is explained in detail, with special attention to the questions of how, exactly, it avoids aggregation, and of why majority rule is superior to lottery procedures. The view has further advantages. Especially, it explains the “partial” relevance of numbers in cases involving unequal harms, and it does so in a way that dissolves the appearance of paradox that besets theories of “partial aggregation.”. (shrink)

When do claims to be saved of a small or moderate harm aggregate against a competing claim to be saved from an early death? In this short response to Kamm's Bioethical Prescriptions, I argue for the following answer: aggregation of weaker claims against a life is permitted just in case, in a one-to-one contest, a person with a weaker claim would have a personal prerogative to prioritize her claim over a stranger’s competing claim to life.

A certain objection to the view that colonialism is and was morally problematic is that it has introduced more benefits than harms to the populations that have undergone it. This article sets aside the empirical question – that is, of interrogating whether colonialism did bring more benefits than harms; instead, it argues that historical instances of colonialism were wrong even if they had in fact brought net-positive aggregate consequences to the colonised populations. In arguing this, I develop and substantiate (...) a new concept of relational injustice in describing the unique nature of inegalitarian, subjugative relationship defining the interaction between perpetrators and victims in colonialism. Given that moral relations cannot be reduced into the welfare of their respective individual agents, it is hence the case that incidental, unintended gains in individual welfare neither adequately compensate for nor at all rectify the initial relational injustice. There are three objections that are discussed and rejected, such as: i) the purported irrationality in individuals regretting events that left them better-off on aggregate, ii) individuals can opt to waive being in just and equal relations with others in exchange for individual gains, and iii) the advanced account is self-defeating, because it nullifies the possibility for adequate compensation. (shrink)

Moral duties concerning climate change mitigation are – for good reasons – conventionally construed as duties of institutional agents, usually states. Yet, in both scholarly debate and political discourse, it has occasionally been argued that the moral duties lie not only with states and institutional agents, but also with individual citizens. This argument has been made with regard to mitigation efforts, especially those reducing greenhouse gases. This paper focuses on the question of whether individuals in industrialized countries have duties to (...) reduce their individual carbon footprint. To this end it will examine three kinds of arguments that have been brought forward against individuals having such duties: the view that individual emissions cause no harm; the view that individual mitigation efforts would have no morally significant effect; and the view that lifestyle changes would be overly-demanding. The paper shows how all three arguments fail to convince. While collective endeavours may be most efficient and effective in bringing about significant changes, there are still good reasons to contribute individually to reducing emission. After all, for most people the choice is between reducing one’s individual emissions and not doing anything. The author hopes this paper shows that one should not opt for the latter. (shrink)

Climate change appears to be a classic aggregation problem, in which billions of individuals perform actions none of which seem to be morally wrong taken in isolation, and yet which combine to drive the global concentration of greenhouse gases (GHGs) ever higher toward environmental (and humanitarian) catastrophe. When an individual can choose between actions that will emit differing amounts of GHGs―such as to choose a vegan rather than carnivorous meal, to ride a bike to work rather than drive a car, (...) or to take a reusable bag to the supermarket rather than send another plastic bag to landfill―does she have any reason to choose the lower-emitting actions? In this chapter I'll reject the claim that individuals don't make a difference when it comes to climate change. I first discuss making a difference with every action, as a way of getting clearer about how individuals' actions impact causally on the harms resulting from climate change, making a distinction so far overlooked in the climate ethics discussion between 'macro' thresholds like ice-cap melt, and 'micro' thresholds like severe weather events. I set aside making a difference with every action as implausible, and then move on to discuss both low probability of major difference, and high probability of minor difference. I argue that both of these are plausible characterizations of individuals' causal contributions to climate change. I conclude by noting some policy implications of having (probabilistic) individual difference-making back in play. (shrink)

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)

Individualists hold that moral responsibility can be ascribed to single human beings only. An important collectivist objection is that individualism is morally deficient because it leaves a normative residue. Without attributing responsibility to collectives there remains a “deficit in the accounting books” (Pettit). This collectivist strategy often uses judgment aggregation paradoxes to show that the collective can be responsible when no individual is. I argue that we do not need collectivism to handle such cases because the individualist analysis leaves no (...) responsibility-deficit. Harm suffered in such situations can have only two sources. Harm is either due to culpable wrongdoing by individuals. Harm is then redressed by holding these individuals responsible. Or harm does not result from culpable wrongdoing. Such harm may have to be redressed too, but not because anyone is responsible for it. Therefore, the charge of moral insensitivity against individualist accounts can be rejected. Furthermore, in the last section of the chapter I will show that collectivist talk about moral responsibility can be used for ethically questionable purposes as well. Collectivists cannot claim the moral high ground. (shrink)

There can be situations in which, if I contribute to a pool of resources for helping a large number of people, the difference that my contribution makes to any of the people helped from the pool will be imperceptible at best, and maybe even non-existent. And this can be the case where it is also true that giving the same amount directly to one of the intended beneficiaries of the pool would have made a very large difference to her. Can (...) non-contribution to the pool be morally justified on this ground? I argue that it cannot. For, first, this line of thought leaves unaffected any reasons for holding that failing to perform the direct action of benefiting someone greatly would be wrong. But the pooling system of helping people is often better than a system separating the help which is given — better because of the perceptible difference it makes to its beneficiaries. If so, failing to contribute to the pool will be at least as wrong as failing to have helped directly would have been. The paper clarifies and defends an argument of this form, showing how it can be formulated in a way that avoids apparent counterexamples, and identifying the assumptions on which it rests. (shrink)

There is no large number of very small bads that is worse than a small number of very large bads – or so, some maintain, it seems plausible to say. In this article, I criticize and reject two recently proposed vindications of the above intuition put forth by Dale Dorsey and Alex Voorhoeve. Dorsey advocates for a threshold marked by the interference with a person's global life projects: any bad that interferes with the satisfaction of a life project is worse (...) than any number of bads that don't interfere with such a life project. Such thresholds, I argue, are broadly implausible. Voorhoeve gives a contractualist account for the irrelevance of minor bads. His account, I argue, does not, among other things, provide the right kind of reason in defence of the above intuition. (shrink)

It is well-known that racism is encoded into the social practices and institutions of medicine. Less well-known is that racism is encoded into the material artifacts of medicine. We argue that many medical devices are not merely biased, but materialize oppression. An oppressive device exhibits a harmful bias that reflects and perpetuates unjust power relations. Using pulse oximeters and spirometers as case studies, we show how medical devices can materialize oppression along various axes of social difference, including race, gender, class, (...) and ability. Our account uses political philosophy and cognitive science to give a theoretical basis for understanding materialized oppression, explaining how artifacts encode and carry oppressive ideas from the past to the present and future. Oppressive medical devices present a moral aggregation problem. To remedy this problem, we suggest redundantly layered solutions that are coordinated to disrupt reciprocal causal connections between the attitudes, practices, and artifacts of oppressive systems. (shrink)

ABSTRACT Offsetting is a very ineffective way to do good. Offsetting your lifetime emissions may increase aggregated life expectancy by at most seven years, while giving the amount it costs to offset your lifetime emissions to a malaria charity saves in expectation the life of at least one child. Is there any moral reason to offset rather than giving to some charity that does good so much more effectively? There might be such a reason if your offsetting compensated or somehow (...) benefitted the victims of your emission, since that could mean that you would satisfy the duty not to harm others by emitting and offsetting. But that is typically not true. If your emission harms some person and your offsetting benefits some person, then these are most likely different people. Hence, I conclude, we have a stronger reason to give to effective charities than we have to offset our emissions. (shrink)

Psychopathic behavior is characteristically amoral, but to date research studies have largely failed to identify any systematic differences in moral judgment capability between psychopaths and non-psychopaths. In this study, we investigate whether significant differences in moral judgment emerge when taking into account the phenotypic heterogeneity of the disorder through a well-validated distinction between psychopathic subtypes. Three groups of incarcerated participants [low-anxious psychopaths (n 1⁄4 12), high-anxious psychopaths (n 1⁄4 12) and non-psychopaths (n 1⁄4 24)] completed a moral judgment test involving (...) hypothet- ical dilemmas. The moral dilemmas featured personal (i.e. involving direct physical harm) or impersonal (i.e. involving indirect or remote harm) actions. Compared to non-psychopaths, both groups of psychopaths were significantly more likely to endorse the impersonal actions. However, only the low-anxious psychopaths were significantly more likely to endorse the personal harms when commission of the harm would maximize aggregate welfare the utilitarian choice. High-anxious psychopaths and non-psychopaths did not significantly differ in their personal moral judgments. These results provide novel laboratory evidence of abnormal moral judgment in psychopaths, as well as additional support for the importance of considering psychopathic subtypes. (shrink)

A challenge faced by defenders of the precautionary principle is to clarify when the evidence that a harmful event might occur suffices to regard this prospect as a real possibility. Plausible versions of the principle must articulate some epistemic threshold, orde minimisrequirement, which specifies when precautionary measures are justified. Critics have argued that formulating such a threshold is problematic in the context of the precautionary principle. First, this is because the precautionary principle appears to be ambiguous about the distinction between (...) risk and uncertainty: should the principle merely be invoked when evidential probabilities are absent, or also when probabilities have low epistemic credentials? Secondly, defenders of the precautionary principle face an aggregation puzzle: in judging whether or not thede minimisrequirement has been met, how should first-order evidential probabilities and their second-order epistemic standing be aggregated? This article argues that the ambiguity can be resolved, and the epistemological puzzle can be solved. Focusing on decisions in the context of climate uncertainty, I advance a version of the precautionary principle that serves as a plausible decision rule, to be adopted in situations where its main alternative—cost–benefit analysis—does not deliver. (shrink)

Climate change can be construed as a question of collective responsibility from two different viewpoints: climate change being inherently a collective problem, or collective entities bearing responsibility for climate change. When discussing collective responsibility for climate change, “collective” can thus refer to the problem of climate change itself, or to the entity causing the harm and/or bearing responsibility for it. The first viewpoint focuses on how climate change is a harm that has been caused collectively. Collective action problem (...) refers to an aggregation of individual actions which together produce an outcome that is not intended at the level of an individual action. It cannot be solved by any one agent acting unilaterally. Instead, climate change action must be enacted and supported by numerous agents. The second way to conceptualize climate change as a question of collective responsibility focuses on the collective entities that bear responsibility for climate change. As a global problem, climate change is linked to the realm of international politics, where states, governments, and intergovernmental organizations are the main collective entities. Other important agential collectives in terms of climate responsibility are corporations, including carbon majors who have produced the bulk of emissions. Climate change has also been theorized as a structural injustice, which combines elements from both the viewpoints on what is collective about responsibility for climate change. (shrink)

According to contractualist theories in ethics, whether an action is wrong is determined by whether it could be justified to others on grounds no one could reasonably reject. Contractualists then think that reasonable rejectability of principles depends on the strength of the personal objections individuals can make to them. There is, however, a deep disagreement between contractualists concerning from which temporal perspective the relevant objections to different principles are to be made. Are they to be made on the basis of (...) the prospects the principles give to different individuals ex ante or on the basis of the outcomes of the principles ex post? Both answers have been found to be problematic. The ex ante views make irrelevant information about personal identity morally significant and lead to objectionable ex ante rules, whereas ex post views lead to counterintuitive results in the so-called different harm and social risk imposition cases. The aim of this article is to provide a new synthesis of these views that can avoid the problems of the previous alternatives. I call the proposal ‘risk-acknowledging’ ex post contractualism. The crux of the view is to take into account in the comparisons of different objections both the realized harms and the risks under which individuals have to live. (shrink)

This article examines how facial recognition technology reshapes the philosophical debate over the ethics of video surveillance. When video surveillance is augmented with facial recognition, the data collected is no longer anonymous, and the data can be aggregated to produce detailed psychological profiles. I argue that – as this non-anonymous data of people’s mundane activities is collected – unjust risks of harm are imposed upon individuals. In addition, this technology can be used to catalogue all who publicly participate in (...) political, religious, and socially stigmatised activities, and I argue that this would undermine central interests of liberal democracies. I examine the degree to which the interests of individuals and the societal interests of liberal democracies to maintain people’s obscurity while in public coincide with privacy interests, as popularly understood, and conclude that there is a practical need to articulate a novel right to obscurity to protect the interests of liberal democratic societies. (shrink)

In the context of a global pandemic, there is good health-based reason for governments to impose various social distancing measures. However, such measures also cause economic and other harms to people at low risk from the virus. In this paper, I examine how to make such trade-offs in a way that is respectfully justifiable to their losers. I argue that existing proposals like using standard QALY (quality-adjusted life-year) valuations or WELLBYs (wellbeing-adjusted life-years) as the currency for trade-offs do not allow (...) such justification, because they give weight to utilities that are irrelevant in a life-and-death context. Drawing on work on restricted aggregation in ethics, I articulate an alternative framework for balancing claims arising from prospects of different kinds of harm and benefit, and show how it can be applied to reasoning about trade-offs in a pandemic context. (shrink)

It is commonly accepted that what we ought to do collectively does not imply anything about what each of us ought to do individually. According to this line of reasoning, if cooperating will make no difference to an outcome, then you are not morally required to do it. And if cooperating will be personally costly to you as well, this is an even stronger reason to not do it. However, this reasoning results in a self-defeating, yet entirely predictable outcome. If (...) everyone is rational, no one will cooperate, resulting in an aggregate outcome that is devastating for everyone. This dismal analysis explains why climate change and other collective action problems are so difficult to ameliorate. The goal of this paper is to provide a different, exploratory framework for thinking about individual reasons for action in collective action problems. I argue that the concept of commitment gives us a new perspective on collective action problems. Once we take the structure of commitment into account, this activates requirements of diachronic rationality that give individuals instrumental reasons to cooperate in collective action problems. (shrink)

The question of whether or not one should procreate is rarely cast as a personal choice in philosophical discourse; rather, it is presented as an ethical choice made against a backdrop of aggregate concerns. But justifications concerning procreation in popular culture regularly engage with the role that identity plays in making procreative decisions; specifically, how one’s decision will affect who they are and who they might be in the future. Women in particular cite the personally transformative aspects of becoming (...) a parent — personal circumstances, including socioeconomic status, age, health, and relationship status — as the most important considerations for the decision they make regarding possible parenthood, and not the more aggregate concerns that an ethics of procreation prioritizes. I highlight women because when women undergo a transformative experience related to parenthood, they do so in contexts where the social, economic, and emotional effects related to pregnancy and motherhood are extensive and impose greater effects on women than men. These harmful material effects threaten a woman’s economic stability, career development, social relationships, and emotional health. Because of this, I argue that an ethics of procreation must engage with the ways in which women’s identities are transformed through procreative decisions. (shrink)

A person possesses value from various components of wellbeing, but they also have overall wellbeing from various instances of value taken together. Most ethicists assume that there is an objectively unique way that wellbeing from components aggregates into overall wellbeing. However, I argue that aggregation is subjective and varies depending on what sort of aggregation a person values. I end with some implications for the significance of death.

Consider a terrible situation that too many women find themselves in: 85,000 women are raped in England and Wales alone every year. Many of these women do not bring their cases to trial. There are multiple reasons that they might not want to testify in the courts. The incredibly low conviction rate is one. Another reason, however, might be that these women do not want the fact that they were raped to become the most salient thing about them. More specifically, (...) they do not want it to be the thing that others attend to the most—that others find most noticeable and memorable. In this paper, I introduce the notion of ‘harmful salience perspectives’ to help to explain this and related phenomena. This refers either to attention on things that should not be salient, or not enough attention on things that deserve to be made salient. Following ideas within the feminist literature on objectification, I argue that we can be harmed when aspects of our identity that do not reflect our personhood—our agency, rationality, personality, and so on—are more prominent in the minds of others than aspects that do reflect our personhood. Crucially, these ways of attending do not need to implicate false beliefs and harmful ideologies to be harmful, but can be harmful in their own right. (shrink)

For aggregative theories of moral value, it is a challenge to rank worlds that each contain infinitely many valuable events. And, although there are several existing proposals for doing so, few provide a cardinal measure of each world's value. This raises the even greater challenge of ranking lotteries over such worlds—without a cardinal value for each world, we cannot apply expected value theory. How then can we compare such lotteries? To date, we have just one method for doing so (proposed (...) separately by Arntzenius, Bostrom, and Meacham), which is to compare the prospects for value at each individual location, and to then represent and compare lotteries by their expected values at each of those locations. But, as I show here, this approach violates several key principles of decision theory and generates some implausible verdicts. I propose an alternative—one which delivers plausible rankings of lotteries, which is implied by a plausible collection of axioms, and which can be applied alongside almost any ranking of infinite worlds. (shrink)

Limited aggregationists argue that when deciding between competing claims to aid we are sometimes required and sometimes forbidden from aggregating weaker claims to outweigh stronger claims. Joe Horton presents a ‘fatal dilemma’ for these views. Views that land on the First Horn of his dilemma suggest that a previously losing group strengthened by fewer and weaker claims can be more choice-worthy than the previously winning group strengthened by more and stronger claims. Views that land on the Second Horn suggest that (...) combining two losing groups together and two winning groups together can turn the losing groups into the winning groups and the winning groups into the losing groups. This paper demonstrates that the ‘fatal dilemma’ is neither fatal nor a dilemma. The First Horn is devastating but avoidable and the Second Horn is unavoidable but not devastating. Nevertheless, Horton’s argument does help to narrow down the acceptable range of views. (shrink)

This paper is about the role of interpersonal comparisons in Harsanyi's aggregation theorem. Harsanyi interpreted his theorem to show that a broadly utilitarian theory of distribution must be true even if there are no interpersonal comparisons of well-being. How is this possible? The orthodox view is that it is not. Some argue that the interpersonal comparability of well-being is hidden in Harsanyi's premises. Others argue that it is a surprising conclusion of Harsanyi's theorem, which is not presupposed by any one (...) of the premises. I argue instead that Harsanyi was right: his theorem and its weighted-utilitarian conclusion do not require interpersonal comparisons of well-being. The key to making sense of this possibility is to treat Harsanyi's weights as dimensional constants rather than dimensionless numbers. (shrink)

The aggregation of individual judgments over interrelated propositions is a newly arising field of social choice theory. I introduce several independence conditions on judgment aggregation rules, each of which protects against a specific type of manipulation by agenda setters or voters. I derive impossibility theorems whereby these independence conditions are incompatible with certain minimal requirements. Unlike earlier impossibility results, the main result here holds for any (non-trivial) agenda. However, independence conditions arguably undermine the logical structure of judgment aggregation. I therefore (...) suggest restricting independence to premises, which leads to a generalised premise-based procedure. This procedure is proven to be possible if the premises are logically independent. (shrink)

Suppose that the members of a group each hold a rational set of judgments on some interconnected questions, and imagine that the group itself has to form a collective, rational set of judgments on those questions. How should it go about dealing with this task? We argue that the question raised is subject to a difficulty that has recently been noticed in discussion of the doctrinal paradox in jurisprudence. And we show that there is a general impossibility theorem that that (...) difficulty illustrates. Our paper describes this impossibility result and provides an exploration of its significance. The result naturally invites comparison with Kenneth Arrow's famous theorem (Arrow, 1963 and 1984; Sen, 1970) and we elaborate that comparison in a companion paper (List and Pettit, 2002). The paper is in four sections. The first section documents the need for various groups to aggregate its members' judgments; the second presents the discursive paradox; the third gives an informal statement of the more general impossibility result; the formal proof is presented in an appendix. The fourth section, finally, discusses some escape routes from that impossibility. (shrink)

Several recent results on the aggregation of judgments over logically connected propositions show that, under certain conditions, dictatorships are the only propositionwise aggregation functions generating fully rational (i.e., complete and consistent) collective judgments. A frequently mentioned route to avoid dictatorships is to allow incomplete collective judgments. We show that this route does not lead very far: we obtain oligarchies rather than dictatorships if instead of full rationality we merely require that collective judgments be deductively closed, arguably a minimal condition of (...) rationality, compatible even with empty judgment sets. We derive several characterizations of oligarchies and provide illustrative applications to Arrowian preference aggregation and Kasher and Rubinsteinís group identification problem. (shrink)

I propose a relevance-based independence axiom on how to aggregate individual yes/no judgments on given propositions into collective judgments: the collective judgment on a proposition depends only on people’s judgments on propositions which are relevant to that proposition. This axiom contrasts with the classical independence axiom: the collective judgment on a proposition depends only on people’s judgments on the same proposition. I generalize the premise-based rule and the sequential-priority rule to an arbitrary priority order of the propositions, instead of (...) a dichotomous premise/conclusion order resp. a linear priority order. I prove four impossibility theorems on relevance-based aggregation. One theorem simultaneously generalizes Arrow’s Theorem (in its general and indifference-free versions) and the well-known Arrow-like theorem in judgment aggregation. (shrink)

How can the propositional attitudes of several individuals be aggregated into overall collective propositional attitudes? Although there are large bodies of work on the aggregation of various special kinds of propositional attitudes, such as preferences, judgments, probabilities and utilities, the aggregation of propositional attitudes is seldom studied in full generality. In this paper, we seek to contribute to filling this gap in the literature. We sketch the ingredients of a general theory of propositional attitude aggregation and prove two new theorems. (...) Our first theorem simultaneously characterizes some prominent aggregation rules in the cases of probability, judgment and preference aggregation, including linear opinion pooling and Arrovian dictatorships. Our second theorem abstracts even further from the specific kinds of attitudes in question and describes the properties of a large class of aggregation rules applicable to a variety of belief-like attitudes. Our approach integrates some previously disconnected areas of investigation. (shrink)

Aggregative moral theories face a series of devastating problems when we apply them in a physically realistic setting. According to current physics, our universe is likely _infinitely large_, and will contain infinitely many morally valuable events. But standard aggregative theories are ill-equipped to compare outcomes containing infinite total value so, applied in a realistic setting, they cannot compare any outcomes a real-world agent must ever choose between. This problem has been discussed extensively, and non-standard aggregative theories proposed to overcome it. (...) This paper addresses a further problem of similar severity. Physics tells us that, in our universe, how remotely in time an event occurs is _relative_. But our most promising aggregative theories, designed to compare outcomes containing infinitely many valuable events, are sensitive to how remote in time those events are. As I show, the evaluations of those theories are then relative too. But this is absurd; evaluations of outcomes must be absolute. So we must reject such theories. Is this objection fatal for all aggregative theories, at least in a relativistic universe like ours? I demonstrate here that, by further modifying these theories to fit with the physics, we can overcome it. (shrink)

Decision-making typically requires judgments about causal relations: we need to know the causal effects of our actions and the causal relevance of various environmental factors. We investigate how several individuals' causal judgments can be aggregated into collective causal judgments. First, we consider the aggregation of causal judgments via the aggregation of probabilistic judgments, and identify the limitations of this approach. We then explore the possibility of aggregating causal judgments independently of probabilistic ones. Formally, we introduce the problem of causal-network aggregation. (...) Finally, we revisit the aggregation of probabilistic judgments when this is constrained by prior aggregation of qualitative causal judgments. (shrink)

We present an abstract social aggregation theorem. Society, and each individual, has a preorder that may be interpreted as expressing values or beliefs. The preorders are allowed to violate both completeness and continuity, and the population is allowed to be infinite. The preorders are only assumed to be represented by functions with values in partially ordered vector spaces, and whose product has convex range. This includes all preorders that satisfy strong independence. Any Pareto indifferent social preorder is then shown to (...) be represented by a linear transformation of the representations of the individual preorders. Further Pareto conditions on the social preorder correspond to positivity conditions on the transformation. When all the Pareto conditions hold and the population is finite, the social preorder is represented by a sum of individual preorder representations. We provide two applications. The first yields an extremely general version of Harsanyi's social aggregation theorem. The second generalizes a classic result about linear opinion pooling. (shrink)

This work contributes to the theory of judgement aggregation by discussing a number of significant non-classical logics. After adapting the standard framework of judgement aggregation to cope with non-classical logics, we discuss in particular results for the case of Intuitionistic Logic, the Lambek calculus, Linear Logic and Relevant Logics. The motivation for studying judgement aggregation in non-classical logics is that they offer a number of modelling choices to represent agents’ reasoning in aggregation problems. By studying judgement aggregation in logics that (...) are weaker than classical logic, we investigate whether some well-known impossibility results, that were tailored for classical logic, still apply to those weak systems. (shrink)

This article applies the tools of experimental philosophy to the ongoing debate about both the theoretical viability and the practical import of partially aggregative moral theories in distributive ethics. We conduct a series of three experiments (N=383): First, we document the widespread occurrence of the intuitions that motivate this position. Our study then moves beyond establishing the existence of partially aggregative intuitions in two dimensions: First, we extend experimental work in such a way as to ascertain which amongst existing versions (...) of partial aggregation (localised vs. global) chimes more fully with moral common sense. Specifically, we document how, in tie-breaking cases, ‘irrelevant goods’ judgments (Kamm) are just as robust as the original aggregative/non-aggregative pair of judgments that constitute partial aggregation. Second, by pairing laypeople’s moral judgments in standard cases with their intuitions about the limits of permissible self-prioritisation, we investigate whether one prominent explanation of why irrelevant claims may not be aggregated (Voorhoeve’s ‘personal prerogative’ argument) can be said to underpin people’s intuitions about the (ir)relevance relation of claims in conflict cases. We close with a discussion of our findings’ practical and theoretical import and highlight avenues for future research. (shrink)

Judgment aggregation is naturally applied to the modeling of collective attitudes. In the individual case, we represent agents as having not just beliefs, but also as supporting them with reasons. Can the Judgment Aggregation help model a concept of collective reason? I argue that the resources of the standard judgment aggregation framework are insufficiently general. I develop a generalization of the framework that improves along this dimension. In the new framework, new aggregation rules become available, as well as a natural (...) account of collective reasons. (shrink)

Deferential Monadic Panpsychism is a view that accepts that physical science is capable of discovering the basic structure of reality. However, it denies that reality is fully and exhaustively de- scribed purely in terms of physical science. Consciousness is missing from the physical description and cannot be reduced to it. DMP explores the idea that the physically fundamental features of the world possess some intrinsic mental aspect. It thereby faces a se- vere problem of understanding how more complex mental states (...) emerge from the mental features of the fundamental features. Here I explore the idea that a new form of aggregative emergence, which I call 'combinatorial infusion', could shed light on this problem and bolster the prospects for this form of panpsychism. (shrink)

A powerful argument against the counterfactual comparative account of harm is that it cannot distinguish harming from failing to benefit. In reply to this problem, I suggest a new account of harm. The account is a counterfactual comparative one, but it counts as harms only those events that make a person occupy his level of well-being at the world at which the event occurs. This account distinguishes harming from failing to benefit in a way that accommodates our intuitions (...) about the standard problem cases. In laying the groundwork for this account, I also demonstrate that rival accounts of harm are able to distinguish harming from failing to benefit only if, and because, they also appeal to the distinction between making upshots happen and allowing upshots to happen. One important implication of my discussion is that preserving the moral asymmetry between harming and failing to benefit requires a commitment to the existence of a metaphysical and moral distinction between making and allowing. (shrink)

There are many reasons we might want to take the opinions of various individuals and pool them to give the opinions of the group they constitute. If all the individuals in the group have probabilistic opinions about the same propositions, there is a host of pooling functions we might deploy, such as linear or geometric pooling. However, there are also cases where different members of the group assign probabilities to different sets of propositions, which might overlap a lot, a little, (...) or not at all. There are far fewer proposals for how to proceed in these cases, and those there are have undesirable features. I begin by considering four proposals and arguing that they don't work. Then I'll describe my own proposal, which is intended to cover the situation in which we want to pool the individual opinions in order to ascribe an opinion to the group considered as an agent in its own right. (shrink)

As the ongoing literature on the paradoxes of the Lottery and the Preface reminds us, the nature of the relation between probability and rational acceptability remains far from settled. This article provides a novel perspective on the matter by exploiting a recently noted structural parallel with the problem of judgment aggregation. After offering a number of general desiderata on the relation between finite probability models and sets of accepted sentences in a Boolean sentential language, it is noted that a number (...) of these constraints will be satisfied if and only if acceptable sentences are true under all valuations in a distinguished non-empty set W. Drawing inspiration from distance-based aggregation procedures, various scoring rule based membership conditions for W are discussed and a possible point of contact with ranking theory is considered. The paper closes with various suggestions for further research. (shrink)

In solving judgment aggregation problems, groups often face constraints. Many decision problems can be modelled in terms the acceptance or rejection of certain propositions in a language, and constraints as propositions that the decisions should be consistent with. For example, court judgments in breach-of-contract cases should be consistent with the constraint that action and obligation are necessary and sufficient for liability; judgments on how to rank several options in an order of preference with the constraint of transitivity; and judgments on (...) budget items with budgetary constraints. Often more or less demanding constraints on decisions are imaginable. For instance, in preference ranking problems, the transitivity constraint is often contrasted with the weaker acyclicity constraint. In this paper, we make constraints explicit in judgment aggregation by relativizing the rationality conditions of consistency and deductive closure to a constraint set, whose variation yields more or less strong notions of rationality. We review several general results on judgment aggregation in light of such constraints. (shrink)

Advocates of longtermism point out that interventions which focus on improving the prospects of people in the very far future will, in expectation, bring about a significant amount of good. Indeed, in expectation, such long-term interventions bring about far more good than their short-term counterparts. As such, longtermists claim we have compelling moral reason to prefer long-term interventions. In this paper, I show that longtermism is in conflict with plausible deontic scepticism about aggregation. I do so by demonstrating that, from (...) both an ex-ante and ex-post perspective, longtermist interventions – and, in particular, those which aim to mitigate catastrophic risk – typically generate extremely weak claims of assistance from future people. (shrink)

All existing impossibility theorems on judgment aggregation require individual and collective judgment sets to be consistent and complete, arguably a demanding rationality requirement. They do not carry over to aggregation functions mapping profiles of consistent individual judgment sets to consistent collective ones. We prove that, whenever the agenda of propositions under consideration exhibits mild interconnections, any such aggregation function that is "neutral" between the acceptance and rejection of each proposition is dictatorial. We relate this theorem to the literature.

The ``doctrinal paradox'' or ``discursive dilemma'' shows that propositionwise majority voting over the judgments held by multiple individuals on some interconnected propositions can lead to inconsistent collective judgments on these propositions. List and Pettit (2002) have proved that this paradox illustrates a more general impossibility theorem showing that there exists no aggregation procedure that generally produces consistent collective judgments and satisfies certain minimal conditions. Although the paradox and the theorem concern the aggregation of judgments rather than preferences, they invite comparison (...) with two established results on the aggregation of preferences: the Condorcet paradox and Arrow's impossibility theorem. We may ask whether the new impossibility theorem is a special case of Arrow's theorem, or whether there are interesting disanalogies between the two results. In this paper, we compare the two theorems, and show that they are not straightforward corollaries of each other. We further suggest that, while the framework of preference aggregation can be mapped into the framework of judgment aggregation, there exists no obvious reverse mapping. Finally, we address one particular minimal condition that is used in both theorems – an independence condition – and suggest that this condition points towards a unifying property underlying both impossibility results. (shrink)

Weakly Aggregative Modal Logic (WAML) is a collection of disguised polyadic modal logics with n-ary modalities whose arguments are all the same. WAML has some interesting applications on epistemic logic and logic of games, so we study some basic model theoretical aspects of WAML in this paper. Specifically, we give a van Benthem-Rosen characterization theorem of WAML based on an intuitive notion of bisimulation and show that each basic WAML system Kn lacks Craig Interpolation.

With the rapidly growing amounts of information, visualization is becoming increasingly important, as it allows users to easily explore and understand large amounts of information. However the field of information visualiza- tion currently lacks sufficient theoretical foundations. This article addresses foundational questions connecting information visualization with computing and philosophy studies. The idea of multiscale information granula- tion is described based on two fundamental concepts: information (structure) and computation (process). A new information processing paradigm of Granular Computing enables stepwise increase of (...) granulation/aggregation of information on different levels of resolution, which makes possible dynamical viewing of data. Information produced by Google Earth is an illustration of visualization based on clustering (granulation) of information on a succession of layers. Depending on level, specific emergent properties become visible as a result of different ways of aggregation of data/information. As information visualization ultimately aims at amplifying cognition, we discuss the process of simulation and emulation in relation to cognition, and in particular visual cognition. (shrink)

The widely discussed "discursive dilemma" shows that majority voting in a group of individuals on logically connected propositions may produce irrational collective judgments. We generalize majority voting by considering quota rules, which accept each proposition if and only if the number of individuals accepting it exceeds a given threshold, where different thresholds may be used for different propositions. After characterizing quota rules, we prove necessary and sufficient conditions on the required thresholds for various collective rationality requirements. We also consider sequential (...) quota rules, which ensure collective rationality by adjudicating propositions sequentially and letting earlier judgments constrain later ones. Sequential rules may be path-dependent and strategically manipulable. We characterize path-independence and prove its essential equivalence to strategy-proofness. Our results shed light on the rationality of simple-, super-, and sub-majoritarian decision-making. (shrink)

An important objection to preference-satisfaction theories of well-being is that they cannot make sense of interpersonal comparisons. A tradition dating back to Harsanyi :434, 1953) attempts to solve this problem by appeal to people’s so-called extended preferences. This paper presents a new problem for the extended preferences program, related to Arrow’s celebrated impossibility theorem. We consider three ways in which the extended-preference theorist might avoid this problem, and recommend that she pursue one: developing aggregation rules that violate Arrow’s Independence of (...) Irrelevant Alternatives condition. (shrink)