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  1. Each Counts for One.Daniel Muñoz - forthcoming - Philosophical Studies.
    After 50 years of debate, the ethics of aggregation has reached a curious stalemate, with both sides arguing that only their theory treats people as equals. I argue that, on the issue of equality, both sides are wrong. From the premise that “each counts for one,” we cannot derive the conclusion that “more count for more”—or its negation. The familiar arguments from equality to aggregation presuppose more than equality: the Kamm/Scanlon “Balancing Argument” rests on what social choice theorists call “(Positive) (...)
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  • Don’t Count on Taurek: Vindicating the Case for the Numbers Counting.Yishai Cohen - 2014 - Res Publica 20 (3):245-261.
    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 (...)
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  • Contractualism.Jussi Suikkanen - 2020 - Cambridge: Cambridge University Press.
    This essay begins by describing T.M. Scanlon’s contractualism according to which an action is right when it is authorised by the moral principles no one could reasonably reject. This view has argued to have implausible consequences with regards to how different-sized groups, non-human animals, and cognitively limited human beings should be treated. It has also been accused of being theoretically redundant and unable to vindicate the so-called deontic distinctions. I then distinguish between the general contractualist framework and Scanlon’s version of (...)
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  • Enforcing the Global Economic Order, Violating the Rights of the Poor, and Breaching Negative Duties? Pogge, Collective Agency, and Global Poverty.Bill Wringe - 2018 - Journal of Social Philosophy 49 (2):334-370.
    Thomas Pogge has argued, famously, that ‘we’ are violating the rights of the global poor insofar as we uphold an unjust international order which provides a legal and economic framework within which individuals and groups can and do deprive such individuals of their lives, liberty and property. I argue here that Pogge’s claim that we are violating a negative duty can only be made good on the basis of a substantive theory of collective action; and that it can only provide (...)
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  • The New Problem of Numbers in Morality.Fiona Woollard - 2014 - Ethical Theory and Moral Practice 17 (4):631-641.
    Discussion of the “problem of numbers” in morality has focused almost exclusively on the moral significance of numbers in whom-to-rescue cases: when you can save either of two groups of people, but not both, does the number of people in each group matter morally? I suggest that insufficient attention has been paid to the moral significance of numbers in other types of case. According to common-sense morality, numbers make a difference in cases, like the famous Trolley Case, where we must (...)
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  • Saving Lives: For the Best Outcome?Xueshi Wang - 2021 - Philosophia 50 (1):337-351.
    In this article, I critique a moral argument developed in Frances Kamm’s Intricate Ethics: Rights, Responsibilities, and Permissible Harm. The argument, which I label the Best Outcome Argument, aims to criticize the Taurekian idea that it is not worse if more people die than if fewer do in conflict situations, where it is hard to distinguish individuals from one another solely by reference to the relative strength of their claims. I argue that the Best Outcome Argument is flawed for three (...)
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  • Fairness, Benefiting by Lottery and the Chancy Satisfaction of Moral Claims.Gerard Vong - 2015 - Utilitas 27 (4):470-486.
    This article offers a new theory about how using lotteries to distribute scarce benefits satisfies beneficiaries' claims. In the first section of the article I criticize John Broome's view and on the basis of these criticisms set out four desiderata for a philosophically adequate account of claim satisfaction by lottery. In section II I propose and defend a new view called the dual structure view, so called because it posits that claimants have two types of claims in the relevant scarce (...)
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  • Giving Each Person Her Due: Taurek Cases and Non-Comparative Justice.Alan Thomas - 2012 - Ethical Theory and Moral Practice 15 (5):661-676.
    Taurek cases focus a choice between two views of permissible action, Can Save One and Must Save Many . It is argued that Taurek cases do illustrate the rationale for Can Save One , but existing views do not highlight the fact that this is because they are examples of claims grounded on non-comparative justice. To act to save the many solely because they form a group is to discriminate against the one for an irrelevant reason. That is a canonical (...)
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  • Never Just Save the Few.Leora Urim Sung - 2022 - Utilitas 34 (3):275-288.
    Most people have the intuition that, when we can save the lives of either a few people in one group or many people in another group, and all other things are equal, we ought to save the group with the most people. However, several philosophers have argued against this intuition, most famously John Taurek, in his article ‘Should the Numbers Count?’ They argue that there is no moral obligation to save the greater number, and that we are permitted to save (...)
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  • Moral contractualism.Nicholas Southwood - 2009 - Philosophy Compass 4 (6):926-937.
    This article provides a critical introduction to contractualism as a moral or ethical theory, that is, as a theory of the rightness and wrongness of individual conduct – focusing specifically on the influential 'Kantian' version of contractualism due to T. M. Scanlon. I begin by elucidating the key features of Scanlon's contractualism: justifiability to others; reasonable rejectability; the individualist restriction; and mutual recognition. I then turn to discuss both its appeal and the main objections that have been raised to it (...)
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  • Justice and Chances.Re'em Segev - 2018 - Journal of Social Philosophy 49 (2):315-333.
    According to a common view, in a case involving an indivisible good and several potential beneficiaries, who are equal in every relevant respect, there is a non-instrumental reason to allocate the benefit in a way that gives each an equal chance to receive the benefit. In this paper, I argue that this view is incompatible with several plausible and widely held assumptions. I emphasize especially the assumption that the distributive role of chances is secondary to that of benefits in an (...)
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  • Hierarchical consequentialism.Re'em Segev - 2010 - Utilitas 22 (3):309-330.
    The paper considers a hierarchical theory that combines concern for two values: individual well-being – as a fundamental, first-order value – and (distributive) fairness – as a high-order value that its exclusive function is to complete the value of individual well-being by resolving internal clashes within it that occur in interpersonal conflicts. The argument for this unique conception of high-order fairness is that fairness is morally significant in itself only regarding what matters – individual well-being – and when it matters (...)
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  • Recognize Everyone’s Interests: An Algorithm for Ethical Decision-Making about Trade-Off Problems.Tobey K. Scharding - 2021 - Business Ethics Quarterly 31 (3):450-473.
    This article addresses a dilemma about autonomous vehicles: how to respond to trade-off scenarios in which all possible responses involve the loss of life but there is a choice about whose life or lives are lost. I consider four options: kill fewer people, protect passengers, equal concern for survival, and recognize everyone’s interests. I solve this dilemma via what I call the new trolley problem, which seeks a rationale for the intuition that it is unethical to kill a smaller number (...)
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  • Equality in the allocation of scarce vaccines.Ben Saunders - 2018 - Les Ateliers de l'Éthique / the Ethics Forum 13 (3):65-84.
    In the event of a pandemic, demand for vaccines may exceed supply. One proposal for allocating vaccines is to use a lottery, to give all citizens an equal chance, either of getting the vaccine or of surviving. However, insistence on strict equality can result in seriously suboptimal outcomes. I argue that the requirement to treat all citizens impartially need not be interpreted to require equal chances, particularly where citizens are differently situated. Assuming that we want to save lives, we should (...)
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  • A Defence of Weighted Lotteries in Life Saving Cases.Ben Saunders - 2009 - Ethical Theory and Moral Practice 12 (3):279-290.
    The three most common responses to Taurek’s ‘numbers problem’ are saving the greater number, equal chance lotteries and weighted lotteries. Weighted lotteries have perhaps received the least support, having been criticized by Scanlon What We Owe to Each Other ( 1998 ) and Hirose ‘Fairness in Life and Death Cases’ ( 2007 ). This article considers these objections in turn, and argues that they do not succeed in refuting the fairness of a weighted lottery, which remains a potential solution to (...)
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  • The moral footprint of animal products.Krzysztof Saja - 2013 - Agriculture and Human Values 30 (2):193–202.
    Most ethical discussions about diet are focused on the justification of specific kinds of products rather than an individual assessment of the moral footprint of eating products of certain animal species. This way of thinking is represented in the typical division of four dietary attitudes. There are vegans, vegetarians, welfarists and ordinary meat -eaters. However, the common “all or nothing” discussions between meat -eaters, vegans and vegetarians bypass very important factors in assessing dietary habits. I argue that if we want (...)
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  • Inquiry in Bioethics and the Philosophy of Medicine: Organ Donation, Defining Death, and Fairness in Distribution.Victor Saenz - 2015 - Journal of Medicine and Philosophy 40 (3):263-277.
    This issue of the Journal of Medicine and Philosophy brings together fresh essays addressing three main genres of questions: questions about the nature of bioethical inquiry and the relevance of the humanities to medical practice; questions regarding the ethics of organ donation; questions bearing on the application of fairness to the distribution of medical resources.
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  • Probabilities in tragic choices.Eduardo Rivera-lópez - 2008 - Utilitas 20 (3):323-333.
    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) (...)
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  • Should the probabilities count?Katharina Berndt Rasmussen - 2012 - Philosophical Studies 159 (2):205-218.
    When facing a choice between saving one person and saving many, some people have argued that fairness requires us to decide without aggregating numbers; rather we should decide by coin toss or some form of lottery, or alternatively we should straightforwardly save the greater number but justify this in a non-aggregating contractualist way. This paper expands the debate beyond well-known number cases to previously under-considered probability cases, in which not (only) the numbers of people, but (also) the probabilities of success (...)
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  • The Many, the Few, and the Nature of Value.Daniel Muñoz - 2022 - Ergo: An Open Access Journal of Philosophy 9 (4):70-87.
    John Taurek argues that, in a choice between saving the many or the few, the numbers should not count. Some object that this view clashes with the transitivity of ‘better than’; others insist the clash can be avoided. I defend a middle ground: Taurek cannot have transitivity, but that doesn’t doom his view, given a suitable conception of value. I then formalize and explore two conceptions: one context-sensitive, one multidimensional.
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  • Who Is Afraid of Numbers?S. Matthew Liao - 2008 - Utilitas 20 (4):447-461.
    In recent years, many non-consequentialists such as Frances Kamm and Thomas Scanlon have been puzzling over what has come to be known as the Number Problem, which is how to show that the greater number in a rescue situation should be saved without aggregating the claims of the many, a typical kind of consequentialist move that seems to violate the separateness of persons. In this article, I argue that these non-consequentialists may be making the task more difficult than necessary, because (...)
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  • Ryder’s Painism and His Criticism of Utilitarianism.Joost Leuven & Tatjana Višak - 2013 - Journal of Agricultural and Environmental Ethics 26 (2):409-419.
    As a member of the British Oxford Group, psychologist Richard Ryder marked the beginning of the modern animal rights and animal welfare movement in the seventies. By introducing the concept “speciesism.” Ryder contributed importantly to the expansion of this movement. Surprisingly little attention has been paid to Ryder’s moral theory, “painism”, that aims to resolve the conflict between the two predominant rival theories in animal ethics, the deontological of Tom Regan and the utilitarian of Peter Singer. First, this paper examines (...)
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  • Spinning the Wheel or Tossing a Coin?Robert Huseby - 2011 - Utilitas 23 (2):127-139.
    In the literature on the so-called numbers problem, some authors have recently argued that the individualist lottery (IL) avoids the flaws of the proportional lottery. This article first presents two recent defenses of the IL, and then argues that both are implausible if we focus, as we should, strictly on their non-consequentialist aspects. This conclusion holds even if we take account of the fact that the IL is arguably that solution to the numbers problem which best meets the marginal difference (...)
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  • Weighted lotteries in life and death cases.Iwao Hirose - 2007 - Ratio 20 (1):45–56.
    Faced with a choice between saving one stranger and saving a group of strangers, some people endorse weighted lotteries, which give a strictly greater chance of being saved to the group of strangers than the single stranger. In this paper I attempt to criticize this view. I first consider a particular version of the weighted lotteries, Frances Kamm's procedure of proportional chances, and point out two implausible implications of her proposal. Then, I consider weighted lotteries in general, and claim (1) (...)
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  • Aggregation and the Separateness of Persons.Iwao Hirose - 2013 - Utilitas 25 (2):182-205.
    Many critics of utilitarianism claim that we should reject interpersonal aggregation because aggregative principles do not take the separateness of persons seriously. In this article, I will reject this claim. I will first elucidate the theoretical structure of aggregation. I will then consider various interpretations of the notion of the separateness of persons and clarify what exactly those critics are trying to reject by appealing to the notion of the separateness of persons. I will argue that none of these interpretations (...)
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  • Numbers without aggregation.Tim Henning - 2023 - Noûs.
    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 (...)
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  • From Choice to Chance? Saving People, Fairness, and Lotteries.Tim Henning - 2015 - Philosophical Review 124 (2):169-206.
    Many authors in ethics, economics, and political science endorse the Lottery Requirement, that is, the following thesis: where different parties have equal moral claims to one indivisible good, it is morally obligatory to let a fair lottery decide which party is to receive the good. This article defends skepticism about the Lottery Requirement. It distinguishes three broad strategies of defending such a requirement: the surrogate satisfaction account, the procedural account, and the ideal consent account, and argues that none of these (...)
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  • Deontic Constraints are Maximizing Rules.Matthew Hammerton - 2020 - Journal of Value Inquiry 54 (4):571-588.
    Deontic constraints prohibit an agent performing acts of a certain type even when doing so will prevent more instances of that act being performed by others. In this article I show how deontic constraints can be interpreted as either maximizing or non-maximizing rules. I then argue that they should be interpreted as maximizing rules because interpreting them as non-maximizing rules results in a problem with moral advice. Given this conclusion, a strong case can be made that consequentialism provides the best (...)
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  • Mixed Feelings About Mixed Solutions.Jan Gertken - 2016 - Ethical Theory and Moral Practice 19 (1):59-69.
    The numbers problem concerns the question of what is the right thing to do in trade-off cases where one can save different non-overlapping groups of persons, but not everyone. Proponents of mixed solutions argue that both saving the many and holding a lottery to determine whom to save can each be morally right in such cases, depending on the relative sizes of the groups involved. In his book The Dimensions of Consequentialism, Martin Peterson presents an ingenious version of such an (...)
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  • We Should Not Use Randomization Procedures to Allocate Scarce Life-Saving Resources.Roberto Fumagalli - 2022 - Public Health Ethics 15 (1):87-103.
    In the recent literature across philosophy, medicine and public health policy, many influential arguments have been put forward to support the use of randomization procedures to allocate scarce life-saving resources. In this paper, I provide a systematic categorization and a critical evaluation of these arguments. I shall argue that those arguments justify using RAND to allocate SLSR in fewer cases than their proponents maintain and that the relevant decision-makers should typically allocate SLSR directly to the individuals with the strongest claims (...)
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  • Utilitarianism without Moral Aggregation.Johan E. Gustafsson - 2021 - Canadian Journal of Philosophy 51 (4):256-269.
    Is an outcome where many people are saved and one person dies better than an outcome where the one is saved and the many die? According to the standard utilitarian justification, the former is better because it has a greater sum total of well-being. This justification involves a controversial form of moral aggregation, because it is based on a comparison between aggregates of different people's well-being. Still, an alternative justification—the Argument for Best Outcomes—does not involve moral aggregation. I extend the (...)
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  • Trust and Altruism--Organ Distribution Scandals: Do They Provide Good Reasons to Refuse Posthumous Donation?A. Dufner & J. Harris - 2015 - Journal of Medicine and Philosophy 40 (3):328-341.
    A recent organ distribution scandal in Germany raises questions of general importance on which many thousands of lives may well depend. The scandal in Germany has produced reactions that are likely to occur whenever and wherever distribution irregularities occur and become public knowledge. After it had become known that physicians in three German hospitals were in the habit of manipulating records in order to fast-track their patients’ cases, the country experienced a decrease of available organs by a staggering 40% in (...)
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  • Playing Dice with Morality: Weighted Lotteries and the Number Problem.Mathieu Doucet - 2013 - Utilitas 25 (2):161-181.
    In this article I criticize the non-consequentialist Weighted Lottery (WL) solution to the choice between saving a smaller or a larger group of people. WL aims to avoid what non-consequentialists see as consequentialism's unfair aggregation by giving equal consideration to each individual's claim to be rescued. In so doing, I argue, WL runs into another common objection to consequentialism: it is excessively demanding. WL links the right action with the outcome of a fairly weighted lottery, which means that an agent (...)
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  • Saving the Few.Tyler Doggett - 2011 - Noûs 47 (2):302-315.
  • What Is Wrong With Kamm's and Scanlon's Arguments Against Taurek.Tyler Doggett - 2009 - Journal of Ethics and Social Philosophy 3 (3):1-16.
    I distinguish several arguments Kamm and Scanlon make against Taurek's claim that it is permissible to save smaller groups of people rather than larger. I then argue that none succeeds. This is a companion to my "Saving the Few.".
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  • Health(care) and the temporal subject.Ben Davies - 2018 - Les Ateliers de l'Éthique / the Ethics Forum 13 (3):38-64.
    Many assume that theories of distributive justice must obviously take people’s lifetimes, and only their lifetimes, as the relevant period across which we distribute. Although the question of the temporal subject has risen in prominence, it is still relatively underdeveloped, particularly in the sphere of health and healthcare. This paper defends a particular view, “momentary sufficientarianism,” as being an important element of healthcare justice. At the heart of the argument is a commitment to pluralism about justice, where theorizing about just (...)
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  • Degrees of fairness and proportional chances.Adam Cureton - 2009 - Utilitas 21 (2):217-221.
    Suppose the following: Two groups of people require our aid but we can help only one group; there are more people in the first group than the second group; every person in both groups has an equal claim on our aid; and we have a duty to help and no other special obligations or duties. I argue that there exists at least one fairness function, which is a function that measures the goodness of degrees of fairness, that implies that we (...)
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  • Self-driving Cars in Dilemmatic Situations: An Approach Based on the Theory of Justification in Criminal Law.Ivó Coca-Vila - 2018 - Criminal Law and Philosophy 12 (1):59-82.
    This article puts forward solutions to some of the ethical and legal dilemmas posed in the current discussion on how to program crash algorithms in autonomous or self-driving cars. The first part of the paper defines the scope of the problem in the criminal legal field, and the next section gives a critical analysis of the proposal to always prioritise the interest of the occupant of the vehicle in situations with conflict of interests. The principle of minimizing social damage as (...)
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  • Saving People and Flipping Coins.Ben Bradley - 2008 - Journal of Ethics and Social Philosophy 3 (1):1-13.
    Suppose you find yourself in a situation in which you can either save both A and B or save only C. A, B and C are relevantly similar – all are strangers to you, none is more deserving of life than any other, none is responsible for being in a life-threatening situation, and so on. John Taurek argued that when deciding what to do in such a situation, you should flip a coin, thereby giving each of A, B and C (...)
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  • The Disrespectfulness of Weighted Survival Lotteries.Joseph Adams - 2021 - Proceedings of the Aristotelian Society 120 (3):395-404.
    If we can save the lives of only one of multiple groups of people, we might be inclined simply to save whichever group is largest. We may worry, though, that automatically saving the largest group fails to take each saveable individual sufficiently into account, offering some of these individuals no chance at all of being rescued. Still wanting to give larger groups higher chances of survival, we may then say that we ought to employ a proportionally weighted lottery to determine (...)
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  • Doing Less Than Best.Emma J. Curran - 2023 - Dissertation, University of Cambridge
    This thesis is about the moral reasons we have to do less than best. It consists of six chapters. Part I of the thesis proposes, extends, and defends reasons to do less than best. In Chapter One (“The Conditional Obligation”) I outline and reject two recent arguments from Joe Horton and Theron Pummer for the claim that we have a conditional obligation to bring about the most good. In Chapter Two (“Agglomeration and Agent-Relative Costs”) I argue that agent-relative costs can (...)
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  • Agent-Relativity and the Foundations of Moral Theory.Matthew Hammerton - 2017 - Dissertation, Australian National University
  • Incomparable numbers.Kenneth Walden - 2020 - Oxford Studies in Normative Ethics 10.
    This chapter presents arguments for two slightly different versions of the thesis that the value of persons is incomparable. Both arguments allege an incompatibility between the demands of a certain kind of practical reasoning and the presuppositions of value comparisons. The significance of these claims is assessed in the context of the “Numbers problem”—the question of whether one morally ought to benefit one group of potential aid recipients rather than another simply because they are greater in number. It is argued (...)
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  • Contractualism.Elizabeth Ashford - 2008 - Stanford Encyclopedia of Philosophy.
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  • The aggregation problem for Scanlonian Contractualism: an exploration of the relevance view, mixed solutions, and why Scanlonian Contractualists could be, and perhaps should be, Restricted Prioritarians.Aart Van Gils - 2019 - Dissertation, University of Reading
    In this thesis, I discuss the aggregation problem for T. M. Scanlon’s “contractualism”. I argue that Scanlonian contractualists have the following two options when it comes to the aggregation problem. First, they can choose to limit aggregation directly via a specific version of the Relevance View, “Sequential Claims-Matching”. Second, Scanlonian contractualists can adopt a so-called “mixed solution” of which I propose a specific version. My mixed solution does not limit aggregation. Rather, it either avoids some of the counterintuitive results in (...)
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