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  1. Three Paradoxes of Supererogation.Daniel Muñoz - 2021 - Noûs 55 (3):699-716.
    Supererogatory acts—good deeds “beyond the call of duty”—are a part of moral common sense, but conceptually puzzling. I propose a unified solution to three of the most infamous puzzles: the classic Paradox of Supererogation (if it’s so good, why isn’t it just obligatory?), Horton’s All or Nothing Problem, and Kamm’s Intransitivity Paradox. I conclude that supererogation makes sense if, and only if, the grounds of rightness are multi-dimensional and comparative.
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  • What we owe to each other.Thomas Scanlon - 1998 - Cambridge: Belknap Press of Harvard University Press.
    In this book, T. M. Scanlon offers new answers to these questions, as they apply to the central part of morality that concerns what we owe to each other.
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  • Can a Nonconsequentialist Count Lives?Alan Strudler David Wasserman - 2003 - Philosophy and Public Affairs 31 (1):71-94.
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  • Essentially Comparative Concepts.Jonathan Dancy - 2005 - Journal of Ethics and Social Philosophy 1 (2):1-16.
    This paper examines Larry Temkin’s notion of an ‘essentially comparative’ concept and the uses to which he puts it. It is suggested that this notion is a conflation of two distinct notions which need not go together. This leads to a critical examination of Temkin’s arguments that certain central ethical concepts are essentially comparative. These arguments are often found wanting, as is Temkin’s treatment of the Person Affecting View.
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  • Acting on Essentially Comparative Goodness.John Cusbert - 2017 - Thought: A Journal of Philosophy 6 (2):73-83.
    Temkin's Essentially Comparative View of moral ideals says that goodness is comparison set dependent: the goodness of an outcome is relativized to a set of outcomes. This view does not entail that betterness is intransitive; indeed, it provides the resources for maintaining transitivity. However, it does entail that the structure of goodness is more complex than is standardly supposed. It thereby demands a modification of the standard connection between goodness and decision. I set out this challenge, canvas some options, and (...)
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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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  • Value Receptacles.Richard Yetter Chappell - 2015 - Noûs 49 (2):322-332.
    Utilitarianism is often rejected on the grounds that it fails to respect the separateness of persons, instead treating people as mere “receptacles of value”. I develop several different versions of this objection, and argue that, despite their prima facie plausibility, they are all mistaken. Although there are crude forms of utilitarianism that run afoul of these objections, I advance a new form of the view—‘token-pluralistic utilitarianism’—that does not.
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  • The possibility of parity.Ruth Chang - 2002 - Ethics 112 (4):659-688.
    This paper argues for the existence of a fourth positive generic value relation that can hold between two items beyond ‘better than’, ‘worse than’, and ‘equally good’: namely ‘on a par’.
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  • Parity, interval value, and choice.Ruth Chang - 2005 - Ethics 115 (2):331-350.
    This paper begins with a response to Josh Gert’s challenge that ‘on a par with’ is not a sui generis fourth value relation beyond ‘better than’, ‘worse than’, and ‘equally good’. It then explores two further questions: can parity be modeled by an interval representation of value? And what should one rationally do when faced with items on a par? I argue that an interval representation of value is incompatible with the possibility that items are on a par (a mathematical (...)
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  • Defending transitivity against zeno’s paradox.Ken Binmore & Alex Voorhoeve - 2003 - Philosophy and Public Affairs 31 (3):272–279.
    This article criticises one of Stuart Rachels' and Larry Temkin's arguments against the transitivity of 'better than'. This argument invokes our intuitions about our preferences of different bundles of pleasurable or painful experiences of varying intensity and duration, which, it is argued, will typically be intransitive. This article defends the transitivity of 'better than' by showing that Rachels and Temkin are mistaken to suppose that preferences satisfying their assumptions must be intransitive. It makes cler where the argument goes wrong by (...)
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  • Review of Kenneth Joseph Arrow: Social Choice and Individual Values[REVIEW]Kenneth J. Arrow - 1952 - Ethics 62 (3):220-222.
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  • On What Matters: Two-Volume Set.Derek Parfit - 2011 - New York: Oxford University Press.
    This is a major work in moral philosophy, the long-awaited follow-up to Parfit's 1984 classic Reasons and Persons, a landmark of twentieth-century philosophy. Parfit now presents a powerful new treatment of reasons and a critical examination of the most prominent systematic moral theories, leading to his own ground-breaking conclusion.
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  • Value relations.Wlodek Rabinowicz - 2008 - Theoria 74 (1):18-49.
    Abstract: The paper provides a general account of value relations. It takes its departure in a special type of value relation, parity, which according to Ruth Chang is a form of evaluative comparability that differs from the three standard forms of comparability: betterness, worseness and equal goodness. Recently, Joshua Gert has suggested that the notion of parity can be accounted for if value comparisons are interpreted as normative assessments of preference. While Gert's basic idea is attractive, the way he develops (...)
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  • Collective Choice and Social Welfare: An Expanded Edition.Amartya Sen - 2017 - Harvard University Press.
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  • Why the numbers count.James F. Woodward - 1981 - Southern Journal of Philosophy 19 (4):531-540.
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  • Why the Numbers Count.James F. Woodward - 1981 - Southern Journal of Philosophy 19 (4):531-540.
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  • Can a Nonconsequentialist Count Lives?David Wasserman & Alan Strudler - 2003 - Philosophy and Public Affairs 31 (1):71-94.
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  • The individualist lottery: How people count, but not their numbers.Jens Timmermann - 2004 - Analysis 64 (2):106–112.
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  • The individualist lottery: how people count, but not their numbers.J. Timmermann - 2004 - Analysis 64 (2):106-112.
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  • Love and the Value of a Life.Kieran Setiya - 2014 - Philosophical Review 123 (3):251-280.
    Argues that there is no one it is irrational to love, that it is rational to act with partiality to those we love, and that the rationality of doing so is not conditional on love. It follows that Anscombe and Taurek are right: you are not required to save three instead of one, even when those you could save are perfect strangers.
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  • Conditional Obligations.Tina Rulli - 2020 - Social Theory and Practice 46 (2):365-390.
    Some obligations are conditional such that act A is morally optional, but if one chooses A, one is required to do act B rather than some other less valuable act C. Such conditional obligations arise frequently in research ethics, in the philosophical literature, and in real life. They are controversial: how does a morally optional act give rise to demanding requirements to do the best? Some think that the fact that a putative obligation has a conditional structure, so defined, is (...)
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  • Whether and Where to Give.Theron Pummer - 2016 - Philosophy and Public Affairs 44 (1):77-95.
    Effective altruists recommend that we give large sums to charity, but by far their more central message is that we give effectively, i.e., to whatever charities would do the most good per dollar donated. In this paper, I’ll assume that it’s not wrong not to give bigger, but will explore to what extent it may well nonetheless be wrong not to give better. The main claim I’ll argue for here is that in many cases it would be wrong of you (...)
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  • All or Nothing, but If Not All, Next Best or Nothing.Theron Pummer - 2019 - Journal of Philosophy 116 (5):278-291.
    Suppose two children face a deadly threat. You can either do nothing, save one child by sacrificing your arms, or save both by sacrificing your arms. Here are two plausible claims: first, it is permissible to do nothing; second, it is wrong to save only one. Joe Horton argues that the combination of these two claims has the implausible implication that if you are not going to save both children, you ought to save neither. This is one instance of what (...)
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  • Skepticism about Saving the Greater Number.Michael Otsuka - 2004 - Philosophy and Public Affairs 32 (4):413-426.
    Suppose that each of the following four conditions obtains: 1. You can save either a greater or a lesser number of innocent people from (equally) serious harm. 2. You can do so at trivial cost to yourself. 3. If you act to save, then the harm you prevent is harm that would not have been prevented if you had done nothing. 4. All other things are equal. A skeptic about saving the greater number rejects the common-sensical claim that you have (...)
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  • The Good, the Bad, and the Transitivity of Better Than.Jacob M. Nebel - 2018 - Noûs 52 (4):874-899.
    The Rachels–Temkin spectrum arguments against the transitivity of better than involve good or bad experiences, lives, or outcomes that vary along multiple dimensions—e.g., duration and intensity of pleasure or pain. This paper presents variations on these arguments involving combinations of good and bad experiences, which have even more radical implications than the violation of transitivity. These variations force opponents of transitivity to conclude that something good is worse than something that isn’t good, on pain of rejecting the good altogether. That (...)
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  • Sources of transitivity.Daniel Muñoz - 2023 - Economics and Philosophy 39 (2):285-306.
    Why should ‘better than’ be transitive? The leading answer in ethics is that values do not change with context. But this cannot be the entire source of transitivity, I argue, since transitivity can fail even if values never change, so long as they are complex, with multiple dimensions combined non-additively. I conclude by exploring a new hypothesis: that all alleged cases of nontransitive betterness, such as Parfit’s Repugnant Conclusion, can and should be modelled as the result of complexity, not context-relativity.
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  • How to be consistent without saving the greater number.Kirsten Meyer - 2006 - Philosophy and Public Affairs 34 (2):136–146.
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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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  • Against Hirose's Argument for Saving the Greater Number.Dong-Kyung Lee - 2017 - Journal of Ethics and Social Philosophy 11 (2):1-8.
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  • Against Hirose's Argument for Saving the Greater Number.Dong-Kyung Lee - 2016 - Journal of Ethics and Social Philosophy (2):1-7.
    Faced with the choice between saving one person and saving two others, what should we do? It seems intuitively plausible that we ought to save the two, and many forms of consequentialists offer a straightforward rationale for the intuition by appealing to interpersonal aggregation. But still many other philosophers attempt to provide a justification for the duty to save the greater number without combining utilities or claims of separate individuals. I argue against one such attempt proposed by Iwao Hirose. Despite (...)
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  • Taurek's no worse claim.Weyma Lübbe - 2008 - Philosophy and Public Affairs 36 (1):69–85.
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  • Contractualism on saving the many.R. Kumar - 2001 - Analysis 61 (2):165-170.
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  • The numbers should count.Gregory S. Kavka - 1979 - Philosophical Studies 36 (3):285 - 294.
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  • Aggregation and two moral methods.F. M. Kamm - 2005 - Utilitas 17 (1):1-23.
    I begin by reconsidering the arguments of John Taurek and Elizabeth Anscombe on whether the number of people we can help counts morally. I then consider arguments that numbers should count given by F. M. Kamm and Thomas Scanlon, and criticism of them by Michael Otsuka. I examine how different conceptions of the moral method known as pairwise comparison are at work in these different arguments and what the ideas of balancing and tie-breaking signify for decision-making in various types of (...)
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  • Transitivity, Comparative Value, and the Methods of Ethics.Michael Huemer - 2013 - Ethics 123 (2):318-345.
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  • The All or Nothing Problem.Joe Horton - 2017 - Journal of Philosophy 114 (2):94-104.
    There are many cases in which, by making some great sacrifice, you could bring about either a good outcome or a very good outcome. In some of these cases, it seems wrong for you to bring about the good outcome, since you could bring about the very good outcome with no additional sacrifice. It also seems permissible for you not to make the sacrifice, and bring about neither outcome. But together, these claims seem to imply that you ought to bring (...)
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  • Saving the greater number without combining claims.Iwao Hirose - 2001 - Analysis 61 (4):341–342.
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  • Saving the greater number without combining claims.I. Hirose - 2001 - Analysis 61 (4):341-342.
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  • Aggregation and numbers.Iwao Hirose - 2004 - Utilitas 16 (1):62-79.
    This article considers the reach of arguments for saving the greater number without interpersonal aggregation, and argues that interpersonal aggregation is useful to encompass the proper respect due to each separate person. I first give a precise definition of interpersonal aggregation, which many non-utilitarians try to avoid. Then, I show that consequentialism and Scanlon can justify the case for the greater number without interpersonal aggregation. However, I propose the Aggregation Approach, which justifies the case for the greater number in some (...)
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  • Aggregation and Numbers.Iawo Hirose - 2004 - Utilitas 16 (1):62-79.
    This article considers the reach of arguments for saving the greater number without interpersonal aggregation, and argues that interpersonal aggregation is useful to encompass the proper respect due to each separate person. I first give a precise definition of interpersonal aggregation, which many non-utilitarians try to avoid. Then, I show that consequentialism and Scanlon can justify the case for the greater number without interpersonal aggregation. However, I propose the Aggregation Approach, which justifies the case for the greater number in some (...)
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  • Take the sugar.Caspar Hare - 2010 - Analysis 70 (2):237-247.
    (No abstract is available for this citation).
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  • Essentially Comparative Value Does Not Threaten Transitivity.Toby Handfield - 2016 - Thought: A Journal of Philosophy 5 (1):3-12.
    The essentially comparative conception of value entails that the value of a state of affairs does not depend solely upon features intrinsic to the state of affairs, but also upon extrinsic features, such as the set of feasible alternatives. It has been argued that this conception of value gives us reason to abandon the transitivity of the better than relation. This paper shows that the support for intransitivity derived from this conception of value is very limited. On its most plausible (...)
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  • The Numbers Always Count.John Halstead - 2016 - Ethics 126 (3):789-802.
    In “How Should We Aggregate Competing Claims?” Alex Voorhoeve develops a theory—Aggregate Relevant Claims (ARC)—which aims to reconcile intuitive judgments for and against aggregating claims in different situations. I argue that ARC does not justify these intuitions but instead ultimately relies on them. We ought not to trust the intuition in favor of nonaggregation, so we ought not to trust ARC. I then show that the nonaggregative part of ARC has a number of unacceptable implications. These problems afflict all nonaggregative (...)
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  • The Numbers Count.Peter A. Graham - 2017 - Thought: A Journal of Philosophy 6 (2):129-134.
    Numbers Skeptics deny that when faced with a choice between saving some innocent people from harm and saving a larger number of different, though equally innocent, people from suffering a similar harm you ought to save the larger number. In this article, I aim to put pressure on Numbers Skepticism.
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  • Social choice and the arrow conditions.Allan F. Gibbard - 2014 - Economics and Philosophy 30 (3):269-284.
    Arrow’s impossibility result stems chiefly from a combination of two requirements: independence and fixity. Independence says that the social choice is independent of individual preferences involving unavailable alternatives. Fixity says that the social choice is fixed by a social preference relation that is independent of what is available. Arrow found that requiring, further, that this relation be transitive yields impossibility. Here it is shown that allowing intransitive social indifference still permits only a vastly unsatisfactory system, a liberum veto oligarchy. Arrow’s (...)
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  • Value and parity.Joshua Gert - 2004 - Ethics 114 (3):492-510.
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  • Intransitive Ethics.Alex Friedman - 2009 - Journal of Moral Philosophy 6 (3):277-297.
    This article addresses the question of whether the relation of moral preference is transitive. I argue, following Larry Temkin and Stuart Rachels, that any ethical theory complex enough to be even minimally plausible allows us to generate intransitive sets of preferences. Even act utilitarianism cannot avoid this predicament unless we accept its least plausible version. We must reevaluate the assumption that an ethical theory must be transitive in order to be rational. This problem amounts to a foundational crisis in ethics. (...)
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  • The Case for Comparability.Cian Dorr, Jacob M. Nebel & Jake Zuehl - 2023 - Noûs 57 (2):414-453.
    We argue that all comparative expressions in natural language obey a principle that we call Comparability: if x and y are at least as F as themselves, then either x is at least as F as y or y is at least as F as x. This principle has been widely rejected among philosophers, especially by ethicists, and its falsity has been claimed to have important normative implications. We argue that Comparability is needed to explain the goodness of several patterns (...)
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  • Saving the Few.Tyler Doggett - 2011 - Noûs 47 (2):302-315.
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  • 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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