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Aggregation and Numbers

Utilitas 16 (1):62-79 (2004)

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  1. 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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  • Don't Ask, Look! Linguistic Corpora as a Tool for Conceptual Analysis.Roland Bluhm - 2013 - In Miguel Hoeltje, Thomas Spitzley & Wolfgang Spohn (eds.), Was dürfen wir glauben? Was sollen wir tun? Sektionsbeiträge des achten internationalen Kongresses der Gesellschaft für Analytische Philosophie e.V. DuEPublico. pp. 7-15.
    Ordinary Language Philosophy has largely fallen out of favour, and with it the belief in the primary importance of analyses of ordinary language for philosophical purposes. Still, in their various endeavours, philosophers not only from analytic but also from other backgrounds refer to the use and meaning of terms of interest in ordinary parlance. In doing so, they most commonly appeal to their own linguistic intuitions. Often, the appeal to individual intuitions is supplemented by reference to dictionaries. In recent times, (...)
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  • The Case Against Consequentialism: Methodological Issues.Nikil Mukerji - 2013 - In Miguel Holtje, Thomas Spitzley & Wolfgang Spohn (eds.), GAP.8 Proceedings. GAP (2013). Gesellschaft für Analytische Philosophie. pp. 654-665.
    Over the years, consequentialism has been subjected to numerous serious objections. Its adherents, however, have been remarkably successful in fending them off. As I argue in this paper, the reason why the case against consequentialism has not been more successful lies, at least partly, in the methodological approach that critics have commonly used. Their arguments have usually proceeded in two steps. First, a definition of consequentialism is given. Then, objections are put forward based on that definition. This procedure runs into (...)
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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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  • 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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  • 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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  • 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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  • 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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  • 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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  • 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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  • Benefit versus Numbers versus Helping the Worst-off: An Alternative to the Prevalent Approach to the Just Distribution of Resources.Andrew Stark - 2008 - Utilitas 20 (3):356-382.
    A central strand in philosophical debate over the just distribution of resources attempts to juggle three competing imperatives: helping those who are worst off, helping those who will benefit the most, and then – beyond this – determining when to aggregate such ‘worst off’ and ‘benefit’ claims, and when instead to treat no such claim as greater than that which any individual by herself can exert. Yet as various philosophers have observed, ‘we have no satisfactory theoretical characterization’ as to how (...)
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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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  • Some Versions of the Number Problem Have No Solution.Martin Peterson - 2010 - Ethical Theory and Moral Practice 13 (4):439-451.
    This article addresses Taruek’s much discussed Number Problem from a non-consequentialist point of view. I argue that some versions of the Number Problem have no solution, meaning that no alternative is at least as choice-worthy as the others, and that the best way to behave in light of such moral indeterminacy is to let chance make the decision. I contrast my proposal with F M Kamm ’s nonconsequentialist argument for saving the greatest number, the Argument for Best Outcomes, which I (...)
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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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  • The Mixed Solution to the Number Problem.Martin Peterson - 2009 - Journal of Moral Philosophy 6 (2):166-177.
    You must either save a group of m people or a group of n people. If there are no morally relevant diff erences among the people, which group should you save? is problem is known as the number problem. e recent discussion has focussed on three proposals: (i) Save the greatest number of people, (ii) Toss a fair coin, or (iii) Set up a weighted lottery, in which the probability of saving m people is m / m + n , (...)
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  • The moral importance of selecting people randomly.Martin Peterson - 2008 - Bioethics 22 (6):321–327.
    This article discusses some ethical principles for distributing pandemic influenza vaccine and other indivisible goods. I argue that a number of principles for distributing pandemic influenza vaccine recently adopted by several national governments are morally unacceptable because they put too much emphasis on utilitarian considerations, such as the ability of the individual to contribute to society. Instead, it would be better to distribute vaccine by setting up a lottery. The argument for this view is based on a purely consequentialist account (...)
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