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  1. Aggregating Causal Judgments.Richard Bradley, Franz Dietrich & Christian List - 2014 - Philosophy of Science 81 (4):491-515.
    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. (...)
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  • Expected Comparative Utility Theory: A New Theory of Rational Choice.David Robert - 2018 - Philosophical Forum 49 (1):19-37.
    In this paper, I argue for a new normative theory of rational choice under risk, namely expected comparative utility (ECU) theory. I first show that for any choice option, a, and for any state of the world, G, the measure of the choiceworthiness of a in G is the comparative utility (CU) of a in G—that is, the difference in utility, in G, between a and whichever alternative to a carries the greatest utility in G. On the basis of this (...)
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  • A restatement of expected comparative utility theory: A new theory of rational choice under risk.David Robert - 2021 - Philosophical Forum 52 (3):221-243.
    In this paper, I argue for a new normative theory of rational choice under risk, namely expected comparative utility (ECU) theory. I first show that for any choice option, a, and for any state of the world, G, the measure of the choiceworthiness of a in G is the comparative utility (CU) of a in G—that is, the difference in utility, in G, between a and whichever alternative to a carries the greatest utility in G. On the basis of this (...)
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  • Intrinsic vs. extrinsic value.Michael J. Zimmerman - 2019 - Stanford Encyclopedia of Philosophy.
    Intrinsic value has traditionally been thought to lie at the heart of ethics. Philosophers use a number of terms to refer to such value. The intrinsic value of something is said to be the value that that thing has “in itself,” or “for its own sake,” or “as such,” or “in its own right.” Extrinsic value is value that is not intrinsic.
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  • Parental Obligations & the Non-Identity Problem.Jacob Isaac - manuscript
    Since its proposal in 1984, Derek Parfit’s ‘Non-Identity Problem’ has significantly influenced how social choice theorists understand existential harms and benefits. The ‘problem’ raises the question of whether parents act wrongly when they choose to create a child with a life barely worth living. It suggests that if the alternatives would have either resulted in a life not worth living or non-existence, then the parents are not liable for moral criticism. This article challenges Parfit’s premise by advocating for a Minimal (...)
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  • Limited Aggregation’s Non-Fatal Non-Dilemma.James Hart - forthcoming - Australasian Journal of Philosophy.
    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 (...)
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  • Combining Good and Bad.Christopher Frugé - forthcoming - In Mauro Rossi & Christine Tappolet (eds.), Perspectives on Ill-Being. Oxford University Press.
    How does good combine with bad? Most creatures are neither so blessed as to only enjoy good nor so cursed as to only suffer bad. Rather, the good and bad they receive throughout their lives combine to produce their overall quality of life. But it’s not just whole lives that have combined good and bad. Many stretches within contain both positive and negative occurrences whose value is joined to form the overall quality of that span of time. In a single (...)
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  • Non-Archimedean population axiologies.Calvin Baker - forthcoming - Economics and Philosophy.
    Non-Archimedean population axiologies – also known as lexical views – claim (i) that a sufficient number of lives at a very high positive welfare level would be better than any number of lives at a very low positive welfare level and/or (ii) that a sufficient number of lives at a very low negative welfare level would be worse than any number of lives at a very high negative welfare level. Such axiologies are popular because they can avoid the (Negative) Repugnant (...)
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  • Suppositional Desires and Rational Choice Under Moral Uncertainty.Nicholas Makins - forthcoming - Ergo: An Open Access Journal of Philosophy.
    This paper presents a unifying diagnosis of a number of important problems facing existing models of rational choice under moral uncertainty and proposes a remedy. I argue that the problems of (i) severely limited scope, (ii) intertheoretic comparisons, and (iii) 'swamping’ all stem from the way in which values are assigned to options in decision rules such as Maximisation of Expected Choiceworthiness. By assigning values to options under a given moral theory by asking something like ‘how much do I desire (...)
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  • A New Puzzle for Limited Aggregation.Kacper Kowalczyk - 2024 - Analysis 84 (2):258-266.
    This paper presents a new puzzle for limited aggregation. Unlike other recent puzzles, this one arises independently of the issue of rational aversion to risk. Some possible responses are laid out and explored.
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  • Optimization and Beyond.Akshath Jitendranath - 2024 - Journal of Philosophy 121 (3):121-146.
    This paper will be concerned with hard choices—that is, choice situations where an agent cannot make a rationally justified choice. Specifically, this paper asks: if an agent cannot optimize in a given situation, are they facing a hard choice? A pair of claims are defended in light of this question. First, situations where an agent cannot optimize because of incompleteness of the binary preference or value relation constitute a hard choice. Second, situations where agents cannot optimize because the binary preference (...)
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  • The Weight of Reasons: A Framework for Ethics.Chris Tucker - forthcoming - New York: Oxford University Press.
    The book develops, defends, and applies an account of weighing reasons to resolve various issues in ethics. It tells you everything you ever wanted to know about weighing reasons and probably a lot of stuff you didn't want to know too. The excerpt provided here is the Table of Contents, the Introduction, and Chapter 1.
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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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  • (1 other version)The weight of suffering.Andreas Mogensen - manuscript
    How should we weigh suffering against happiness? This paper highlights the existence of an argument from intuitively plausible axiological principles to the striking conclusion that in comparing different populations, there exists some depth of suffering that cannot be compensated for by any measure of well-being. In addition to a number of structural principles, the argument relies on two key premises. The first is the contrary of the so-called Reverse Repugnant Conclusion. The second is a principle according to which the addition (...)
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  • A Paradox for Tiny Probabilities and Enormous Values.Nick Beckstead & Teruji Thomas - forthcoming - Noûs.
    We begin by showing that every theory of the value of uncertain prospects must have one of three unpalatable properties. _Reckless_ theories recommend giving up a sure thing, no matter how good, for an arbitrarily tiny chance of enormous gain; _timid_ theories permit passing up an arbitrarily large potential gain to prevent a tiny increase in risk; _non-transitive_ theories deny the principle that, if A is better than B and B is better than C, then A must be better than (...)
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  • Papers in Population Ethics.Elliott Thornley - 2023 - Dissertation, University of Oxford
    This thesis consists of a series of papers in population ethics: a subfield of normative ethics concerned with the distinctive issues that arise in cases where our actions can affect the identities or number of people of who ever exist. Each paper can be read independently of the others. In Chapter 1, I present a dilemma for Archimedean views in population axiology: roughly, those views on which adding enough good lives to a population can make that population better than any (...)
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  • Dimensions of Value.Brian Hedden & Daniel Muñoz - 2024 - Noûs 58 (2):291-305.
    Value pluralists believe in multiple dimensions of value. What does betterness along a dimension have to do with being better overall? Any systematic answer begins with the Strong Pareto principle: one thing is overall better than another if it is better along one dimension and at least as good along all others. We defend Strong Pareto from recent counterexamples and use our discussion to develop a novel view of dimensions of value, one which puts Strong Pareto on firmer footing. We (...)
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  • Expected comparative utility theory: A new theory of instrumental rationality.David Robert - manuscript
    This paper aims to address the question of how one ought to choose when one is uncertain about what outcomes will result from one’s choices, but when one can nevertheless assign probabilities to the different possible outcomes. These choices are commonly referred to as choices (or decisions) under risk. I assume in this paper that one ought to make instrumentally rational choices—more precisely, one ought to adopt suitable means to one’s morally permissible ends. Expected utility (EU) theory is generally accepted (...)
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  • An Identity Crisis in Philosophy.Samuel Kahn - forthcoming - Argumenta.
    The following seems to be a truism in modern day philosophy: No agent can have had other parents (IDENTITY). IDENTITY shows up in discussions of moral luck, parenting, gene editing, and population ethics. In this paper, I challenge IDENTITY. I do so by showing that the most plausible arguments that can be made in favor of IDENTITY do not withstand critical scrutiny. The paper is divided into four sections. In the first, I document the prevalence of IDENTITY. In the second, (...)
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  • How Do People Balance Death against Lesser Burdens?Veronika Luptakova & Alex Voorhoeve - 2023 - In Matthew Lindauer, James R. Beebe & Justin Sytsma (eds.), Advances in Experimental Political Philosophy. New York: Bloomsbury. pp. 123-158.
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  • A new well‐being atomism.Gil Hersch & Daniel Weltman - 2022 - Philosophy and Phenomenological Research 107 (1):3-23.
    Many philosophers reject the view that well-being over a lifetime is simply an aggregation of well-being at every moment of one's life, and thus they reject theories of well-being like hedonism and concurrentist desire satisfactionism. They raise concerns that such a view misses the importance of the relationships between moments in a person's life or the role narratives play in a person's well-being. In this article, we develop an atomist meta-theory of well-being, according to which the prudential value of a (...)
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  • Anonymity and Non-Identity Cases.Tomi Francis - 2022 - Analysis 81 (4):632-639.
    I argue for the principle of Anonymity, according to which two populations are equally good whenever they have the same anonymous distribution of wellbeing. I first show that, given transitivity of the at-least-as-good-as relation, Anonymity is entailed by the ``Non-Identity Principle'', according to which the consequence of bringing better rather than worse lives into existence is, all else equal, better. I then argue for the Non-Identity Principle on the basis that if it were false, it would follow that we fail (...)
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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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  • Parity, moral options, and the weights of reasons.Chris Tucker - 2022 - Noûs 57 (2):454-480.
    The (moral) permissibility of an act is determined by the relative weights of reasons, or so I assume. But how many weights does a reason have? Weight Monism is the idea that reasons have a single weight value. There is just the weight of reasons. The simplest versions hold that the weight of each reason is either weightier than, less weighty than, or equal to every other reason. We’ll see that this simple view leads to paradox in at least two (...)
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  • Uncertain Values: An Axiomatic Approach to Axiological Uncertainty.Stefan Riedener - 2021 - Berlin, Germany: De Gruyter.
    How ought you to evaluate your options if you're uncertain about what's fundamentally valuable? A prominent response is Expected Value Maximisation (EVM)—the view that under axiological uncertainty, an option is better than another if and only if it has the greater expected value across axiologies. But the expected value of an option depends on quantitative probability and value facts, and in particular on value comparisons across axiologies. We need to explain what it is for such facts to hold. Also, EVM (...)
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  • Rational Intransitive Preferences.Peter Baumann - 2022 - Politics, Philosophy and Economics 21 (1):3-28.
    According to a widely held view, rationality demands that the preferences of a person be transitive. The transitivity assumption is an axiom in standard theories of rational choice. It is also prima facie very plausible. I argue here that transitivity is not a necessary condition of rationality; it is a constraint only in some cases. The argument presented here is based on the non-linearity of differential utility functions. This paper has four parts. First, I present an argument against the transitivity (...)
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  • A note on the Wilhelmine Inconsistency.Jon Erling Litland - 2022 - Analysis 81 (4):639-647.
    Wilhelm has recently shown that widely accepted principles about immediate ground are inconsistent with some principles of propositional identity. This note responds to this inconsistency by developing two ground-theoretic accounts of propositional individuation. On one account some of the grounding principles are incorrect; on the other account, the principles of propositional individuation are incorrect.
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  • Living Your Best Life.August Gorman - 2021 - Analysis 81 (3):568-576.
    In Almost Over: Aging, Dying, Dead, Frances Kamm seeks to make sense of people’s widely variant choices about which lives they would choose to continue living. She does this by defending the Prudential Prerogative, which, in analogy to the Moral Prerogative, holds that in a fairly wide range of conditions we are under no intrapersonal rational obligation to choose either to die or to live on. I argue against Kamm's case for the Prudential Prerogative in favor of Life Holism, the (...)
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  • Consequences of Comparability.Cian Dorr, Jacob M. Nebel & Jake Zuehl - 2021 - Philosophical Perspectives 35 (1):70-98.
    We defend three controversial claims about preference, credence, and choice. First, all agents (not just rational ones) have complete preferences. Second, all agents (again, not just rational ones) have real-valued credences in every proposition in which they are confident to any degree. Third, there is almost always some unique thing we ought to do, want, or believe.
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  • A dilemma for lexical and Archimedean views in population axiology.Elliott Thornley - 2022 - Economics and Philosophy 38 (3):395-415.
    Lexical views in population axiology can avoid the Repugnant Conclusion without violating Transitivity or Separability. However, they imply a dilemma: either some good life is better than any number of slightly worse lives, or else the ‘at least as good as’ relation on populations is radically incomplete. In this paper, I argue that Archimedean views face an analogous dilemma. I thus conclude that the lexical dilemma gives us little reason to prefer Archimedean views. Even if we give up on lexicality, (...)
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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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  • Permanent Value.Christopher Frugé - 2022 - Journal of the American Philosophical Association 8 (2):356-372.
    Temporal nihilism is the view that our lives won’t matter after we die. According to the standard interpretation, this is because our lives won’t make a permanent difference. Many who consider the view thus reject it by denying that our lives need to have an eternal impact. However, in this paper, I develop a different formulation of temporal nihilism revolving around the persistence of personal value itself. According to this stronger version, we do not have personal value after death, so (...)
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  • The impossibility of a satisfactory population prospect axiology (independently of Finite Fine-Grainedness).Elliott Thornley - 2021 - Philosophical Studies 178 (11):3671-3695.
    Arrhenius’s impossibility theorems purport to demonstrate that no population axiology can satisfy each of a small number of intuitively compelling adequacy conditions. However, it has recently been pointed out that each theorem depends on a dubious assumption: Finite Fine-Grainedness. This assumption states that there exists a finite sequence of slight welfare differences between any two welfare levels. Denying Finite Fine-Grainedness makes room for a lexical population axiology which satisfies all of the compelling adequacy conditions in each theorem. Therefore, Arrhenius’s theorems (...)
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  • Transfinitely Transitive Value.Kacper Kowalczyk - 2021 - Philosophical Quarterly 72 (1):108-134.
    This paper develops transfinite extensions of transitivity and acyclicity in the context of population ethics. They are used to argue that it is better to add good lives, worse to add bad lives, and equally good to add neutral lives, where a life's value is understood as personal value. These conclusions rule out a number of theories of population ethics, feed into an argument for the repugnant conclusion, and allow us to reduce different-number comparisons to same-number ones. Challenges to these (...)
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  • Deontic Logic and Ethics.Shyam Nair - forthcoming - In Gabbay, John Horty, Xavier Parent, Ron van der Meyden & Leon van der Torre (eds.), Handbook of Deontic Logic and Normative System, Volume 2. College Publications.
    Though there have been productive interactions between moral philosophers and deontic logicians, there has also been a tradition of neglecting the insights that the fields can offer one another. The most sustained interactions between moral philosophers and deontic logicians have notbeen systematic but instead have been scattered across a number of distinct and often unrelated topics. This chapter primarily focuses on three topics. First, we discuss the “actualism/possibilism” debate which, very roughly, concerns the relevance of what one will do at (...)
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  • Joints and Basic Ways.Christopher Frugé - 2024 - Inquiry: An Interdisciplinary Journal of Philosophy 67 (1):215-229.
    Metaphysicians often distinguish between joints and basic ways. Joints are the unified and joint-carving properties that trace the structure of the world. They are theorized under the ideology of structural, perfectly natural, or sparse properties. Basic ways are the ultimate and independent properties that give rise to all others. They are theorized under the ideology of grounding, where the ungrounded properties are the basic ways. While these notions are often seen as rivals, I argue that we need both, because the (...)
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  • The Levelling-Down Objection and the Additive Measure of the Badness of Inequality.Johan E. Gustafsson - 2020 - Economics and Philosophy 36 (3):401-406.
    The Levelling-Down Objection is a standard objection to monistic egalitarian theories where equality is the only thing that has intrinsic value. Most egalitarians, however, are value pluralists; they hold that, in addition to equality being intrinsically valuable, the egalitarian currency in which we are equal or unequal is also intrinsically valuable. In this paper, I shall argue that the Levelling-Down Objection still minimizes the weight that the intrinsic badness of inequality could have in the overall intrinsic evaluation of outcomes, given (...)
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  • Democracy & Analogy: The Practical Reality of Deliberative Politics.Michael Seifried - 2015 - Dissertation, Columbia University
    According to the deliberative view of democracy, the legitimacy of democratic politics is closely tied to whether the use of political power is accompanied by a process of rational deliberation among the citizenry and their representatives. Critics have questioned whether this level of deliberative capacity is even possible among modern citizenries--due to limitations of time, energy, and differential backgrounds--which therefore calls into question the very possibility of this type of democracy. In my dissertation, I counter this line of criticism, arguing (...)
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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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  • Why the Repugnant Conclusion is Inescapable.Mark Budolfson & Dean Spears - unknown
    The spectre of the repugnant conclusion and the search for a population axiology that avoids it has endured as a focus of population ethics. This is in part because the repugnant conclusion is often interpreted as a defining problem for totalism, while the implications of averagism and related views are taken to illustrate the theoretical cost of avoiding the repugnant conclusion. However, we show that this interpretation cannot be sustained unless one focuses only on a special case of the repugnant (...)
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  • Transformative experience and the shark problem.Tim Campbell & Julia Mosquera - 2020 - Philosophical Studies 177 (11):3549-3565.
    In her ground-breaking and highly influential book Transformative Experience, L.A. Paul makes two claims: (1) one cannot evaluate and compare certain experiential outcomes (e.g. being a parent and being a non-parent) unless one can grasp what these outcomes are like; and (2) one can evaluate and compare certain intuitively horrible outcomes (e.g. being eaten alive by sharks) as bad and worse than certain other outcomes even if one cannot grasp what these intuitively horrible outcomes are like. We argue that the (...)
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  • Totalism without Repugnance.Jacob M. Nebel - 2022 - In Jeff McMahan, Timothy Campbell, Ketan Ramakrishnan & Jimmy Goodrich (eds.), Ethics and Existence: The Legacy of Derek Parfit. New York, NY: Oxford University Press. pp. 200-231.
    Totalism is the view that one distribution of well-being is better than another just in case the one contains a greater sum of well-being than the other. Many philosophers, following Parfit, reject totalism on the grounds that it entails the repugnant conclusion: that, for any number of excellent lives, there is some number of lives that are barely worth living whose existence would be better. This paper develops a theory of welfare aggregation—the lexical-threshold view—that allows totalism to avoid the repugnant (...)
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  • 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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  • Rational Choice and the Transitivity of Betterness.Toby Handfield - 2014 - Philosophy and Phenomenological Research 89 (3):584-604.
    If A is better than B and B is better than C, then A is better than C, right? Larry Temkin and Stuart Rachels say: No! Betterness is nontransitive, they claim. In this paper, I discuss the central type of argument advanced by Temkin and Rachels for this radical idea, and argue that, given this view very likely has sceptical implications for practical reason, we would do well to identify alternative responses. I propose one such response, which employs the idea (...)
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  • Betterness of permissibility.Benjamin Ferguson & Sebastian Köhler - 2020 - Philosophical Studies 177 (9):2451-2469.
    It is often assumed that morally permissible acts are morally better than impermissible acts. We call this claim Betterness of Permissibility. Yet, we show that some striking counterexamples show that the claim’s truth cannot be taken for granted. Furthermore, even if Betterness of Permissibility is true, it is unclear why. Apart from appeals to its intuitive plausibility, no arguments in favour of the condition exist. We fill this lacuna by identifying two fundamental conditions that jointly entail betterness of permissibility: ‘reasons (...)
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  • Each-We Dilemmas and Effective Altruism.Theron Pummer & Matthew Clark - 2019 - Journal of Practical Ethics 7 (1):24-32.
    In his interesting and provocative article ‘Being Good in a World of Need’, Larry Temkin argues for the possibility of a type of Each-We Dilemma in which, if we each produce the most good we can individually, we produce a worse outcome collectively. Such situations would ostensibly be troubling from the standpoint of effective altruism, the project of finding out how to do the most good and doing it, subject to not violating side-constraints. We here show that Temkin’s argument is (...)
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  • What We Owe to Ourselves: Essays on Rights and Supererogation.Daniel Muñoz - 2019 - Dissertation, MIT
    Some sacrifices—like giving a kidney or heroically dashing into a burning building—are supererogatory: they are good deeds beyond the call of duty. But if such deeds are really so good, philosophers ask, why shouldn’t morality just require them? The standard answer is that morality recognizes a special role for the pursuit of self-interest, so that everyone may treat themselves as if they were uniquely important. This idea, however, cannot be reconciled with the compelling picture of morality as impartial—the view that (...)
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  • Welfarism.Ben Bramble - 2021 - In Hugh LaFollette (ed.), The International Encyclopedia of Ethics, 2nd print edition. New York: Wiley-Blackwell.
    Welfarism is a theory of value (or the good) simpliciter. Theories of value are fundamentally concerned with explaining what makes some possible worlds better than others. Welfarism is the view according to which the relative value of possible worlds is fully determined by how individuals are faring—or, in other words, by the facts about well-being that obtain—in these worlds. This entry begins by distinguishing between various forms of welfarism (pure vs. impure welfarism, and then narrow vs. wide welfarism). It then (...)
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  • (1 other version)Prioritarianism: A response to critics.Matthew D. Adler & Nils Holtug - 2019 - Politics, Philosophy and Economics 18 (2):101-144.
    Prioritarianism is a moral view that ranks outcomes according to the sum of a strictly increasing and strictly concave transformation of individual well-being. Prioritarianism is ‘welfarist’ (namel...
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  • (1 other version)‘All-things-considered,’ ‘Better-than,’ And Sports Rankings.S. Seth Bordner - 2016 - Journal of the Philosophy of Sport 43 (2):215-232.
    Comparative judgments abound in sports. Fans and pundits bandy about which of two players or teams is bigger, faster, stronger, more talented, less injury prone, more reliable, safer to bet on, riskier to trade for, and so on. Arguably, of most interest are judgments of a coarser type: which of two players or teams is, all-things-considered, just plain better? Conventionally, it is accepted that such comparisons can be appropriately captured and expressed by sports rankings. Rankings play an important role in (...)
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