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Counterexamples to the Transitivity of Better Than

In Toni Rønnow-Rasmussen & Michael J. Zimmerman (eds.), Recent Work on Intrinsic Value. Springer. pp. 249--263 (2005)

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  1. 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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  • Perspectival Disagreement.Erich H. Rast - 2018 - Theoria 84 (2):120-139.
    A phenomenon called perspectival disagreement is laid out and modelled on the basis of modifications to known consensus measures for qualitative representations of preferences and transitive values by binary relations. Cases of perspectival disagreement are of general philosophical interest, because they allow for the possibility that two or more agents judge the value positions of other agents differently even when their assessments are based on the same evidence. Various examples of perspectival disagreement are given, generalizations are discussed, and it is (...)
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  • Parity and Pareto.Brian Hedden - forthcoming - Philosophy and Phenomenological Research.
    Pareto principles are at the core of ethics and decision theory. The Strong Pareto principle says that if one thing is better than another for someone and at least as good for everyone else, then the one is overall better than the other. But a host of famous figures express it differently, with ‘not worse’ in place of ‘at least as good.’ In the presence of parity (or incommensurability), this results in a strictly stronger Pareto principle, which I call Super‐Strong (...)
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  • What does incommensurability tell us about agency?Luke Elson - 2021 - In Henrik Andersson & Anders Herlitz (eds.), Value Incommensurability: Ethics, Risk. And Decision-Making. New York, NY: Routledge. pp. 181-198.
    Ruth Chang and Joseph Raz have both drawn far-reaching consequences for agency from the phenomenon of incommensurability. After criticizing their arguments, I outline an alternative view: if incommensurability is vagueness, then there are no substantial implications for agency, except perhaps a limited form of naturalistic voluntarism if our reasons are provided by desires.
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  • The Sorites Paradox in Practical Philosophy.Hrafn Asgeirsson - 2019 - In Sergi Oms & Elia Zardini (eds.), The Sorites Paradox. New York, NY: Cambridge University Press. pp. 229–245.
    The first part of the chapter surveys some of the main ways in which the Sorites Paradox has figured in arguments in practical philosophy in recent decades, with special attention to arguments where the paradox is used as a basis for criticism. Not coincidentally, the relevant arguments all involve the transitivity of value in some way. The second part of the chapter is more probative, focusing on two main themes. First, I further address the relationship between the Sorites Paradox and (...)
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  • Person-affecting views and saturating counterpart relations.Christopher J. G. Meacham - 2012 - Philosophical Studies 158 (2):257-287.
    In Reasons and Persons, Parfit (1984) posed a challenge: provide a satisfying normative account that solves the Non-Identity Problem, avoids the Repugnant and Absurd Conclusions, and solves the Mere-Addition Paradox. In response, some have suggested that we look toward person-affecting views of morality for a solution. But the person-affecting views that have been offered so far have been unable to satisfy Parfit's four requirements, and these views have been subject to a number of independent complaints. This paper describes a person-affecting (...)
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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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  • 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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  • Mereological Dominance and Simpson’s Paradox.Tung-Ying Wu - 2020 - Philosophia: Philosophical Quarterly of Israel 48 (1):391–404.
    Numerous papers have investigated the transitivity principle of ‘better-than.’ A recent argument appeals to the principle of mereological dominance for transitivity. However, writers have not treated mereological dominance in much detail. This paper sets out to evaluate the generality of mereological dominance and its effectiveness in supporting the transitivity principle. I found that the mereological dominance principle is vulnerable to a counterexample based on Simpson’s Paradox. The thesis concludes that the mereological dominance principle should be revised in certain ways.
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  • Is Equality Essentially Comparative?Michael Weber - 2007 - Ethical Theory and Moral Practice 10 (2):209-226.
    Larry Temkin has shown that Derek Parfit’s well-known Mere Addition Paradox suggests a powerful argument for the intransitivity of the relation “better than.” The crux of the argument is the view that equality is essentially comparative, according to which the same inequality can be evaluated differently depending on what it is being compared to. The comparative view of equality should be rejected, I argue, and hence so too this argument for intransitivity.
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  • Vaulting Intuition: Temkin's Critique of Transitivity.Alex Voorhoeve - 2013 - Economics and Philosophy 29 (3):409-425.
    In 'Rethinking the Good', Larry Temkin makes two core claims. First, the goodness of a distribution is sometimes ‘essentially comparative’ – it sometimes depends on which alternative distribution(s) it is compared to. Second, such cases threaten the transitivity of ‘all things considered better than’. I argue that the goodness of a distribution may indeed depend on what other distributions are feasible. But contrary to Temkin, I also argue that transitivity holds even when the goodness of a distribution depends on the (...)
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  • Are Spectrum Arguments Defused by Vagueness?Teruji Thomas - 2022 - Australasian Journal of Philosophy 100 (4):743-757.
    ABSTRACT I consider paradoxical spectrum arguments involving transitive relations like ‘better than’. I argue that, despite being formally different from sorites arguments, at least some spectrum arguments arise from vagueness, and that vagueness might often be the most natural diagnosis.
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  • Aggregating Reasons and Persons: On Sorting Out the Logic of the Good, Royce’s Style.Mona Simion - 2014 - Contemporary Pragmatism 11 (2):107-121.
    Contemporary ‘Fitting Attitude’ axiological frameworks – defining value in terms of having properties that provide reasons for pro-attitudes – struggle with the so-called Wrong Kind of Reasons problem. That is, they fail to offer a coherent account as to what reasons are fitted to enter our evaluative endeavors in the first place. Furthermore, WKR opens FA to charges regarding intransitivity of value ordering. I argue that revisiting Josiah Royce’s ‘plan of life’ mediating principle offers a promising reasons’ aggregation recipe, and (...)
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  • Resources and the acceptability of the Repugnant Conclusion.Stephen J. Schmidt - forthcoming - Theoria. An International Journal for Theory, History and Foundations of Science.
    Parfit’s Repugnant Conclusion argues, against intuition, that for any world A, another world Z with higher population and minimal well-being is better. That intuition is incorrect because the argument has not considered resources that support well-being. Z must have many more resources supporting well-being than A does. Z is repugnant because it spreads those resources among too many people; another world with Z’s resources and fewer people, if available, would be far superior. But Z is still better than A; it (...)
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  • The Multidimensional Structure of ‘better than’.Erich H. Rast - 2022 - Axiomathes 32 (2):291-319.
    According to the mixed lexicographic/additive account of ‘better than’ and similar aggregative value comparatives like ‘healthier than’, values are multidimensional and different aspects of a value are aggregated into an overall assessment in a lexicographic way, based on an ordering of value aspects. It is argued that this theory can account for an acceptable definition of Chang’s notion of parity and that it also offers a solution to Temkin’s and Rachels’s Spectrum Cases without giving up the transitivity of overall betterness. (...)
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  • The Argument from Small Improvement is a Red Herring.Thomas Raleigh - 2023 - Inquiry: An Interdisciplinary Journal of Philosophy.
    The much-discussed ‘Argument from Small Improvement’ has been advanced both as a reason to reject (tripartite) Completeness, one of the standard axioms of decision theory, and to accept the possibility of rationally incomparable choices. But this form of argument cannot be an effective basis for either of these conclusions, unless one already has some prior, independent reason to prefer Transitivity to Completeness as a constraint on rational preferences (or rational values). In particular, I show how a reverse argument from small (...)
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  • Six theses about pleasure.Stuart Rachels - 2004 - Philosophical Perspectives 18 (1):247-267.
    I defend these claims: (1) 'Pleasure' has exactly one English antonym: 'unpleasure.' (2) Pleasure is the most convincing example of an organic unity. (3) The hedonic calculus is a joke. (4) An important type of pleasure is background pleasure. (5) Pleasures in bad company are still good. (6) Higher pleasures aren't pleasures (and if they were, they wouldn't be higher). Thesis (1) merely concerns terminology, but theses (2)-(6) are substantive, evaluative claims.
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  • A set of solutions to Parfit's problems.Stuart Rachels - 2001 - Noûs 35 (2):214–238.
    In Reasons and Persons, Derek Parfit cannot find a theory of well-being that solves the Non-Identity Problem, the Repugnant Conclusion, the Absurd Conclusion, and all forms of the Mere Addition Paradox. I describe a “Quasi-Maximizing” theory that solves them. This theory includes (i) the denial that being better than is transitive and (ii) the “Conflation Principle,” according to which alternative B is hedonically better than alternative C if it would be better for someone to have all the B-experiences. (i) entails (...)
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  • Spectrum arguments and hypersensitivity.Theron Pummer - 2018 - Philosophical Studies 175 (7):1729-1744.
    Larry Temkin famously argues that what he calls spectrum arguments yield strong reason to reject Transitivity, according to which the ‘all-things-considered better than’ relation is transitive. Spectrum arguments do reveal that the conjunctions of independently plausible claims are inconsistent with Transitivity. But I argue that there is very strong independent reason to reject such conjunctions of claims, and thus that the fact that they are inconsistent with Transitivity does not yield strong reason to reject Transitivity.
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  • Intuitions about large number cases.Theron Pummer - 2013 - Analysis 73 (1):37-46.
    Is there some large number of very mild hangnail pains, each experienced by a separate person, which would be worse than two years of excruciating torture, experienced by a single person? Many people have the intuition that the answer to this question is No. However, a host of philosophers have argued that, because we have no intuitive grasp of very large numbers, we should not trust such intuitions. I argue that there is decent intuitive support for the No answer, which (...)
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  • A Defence of Average Utilitarianism.Michael Pressman - 2015 - Utilitas 27 (4):389-424.
    Seemingly every theory of population ethics is confronted with unpalatable implications. While various approaches to the subject have been taken, including non-consequentialist approaches, this area has been dominated by utilitarian thought. The two main approaches to population ethics have been total utilitarianism () and average utilitarianism (). According to TU, we should seek to bring about the state of affairs that maximizes the total amount of happiness. According to AU, we should seek to bring about the state of affairs that (...)
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  • The Population Ethics of Belief: In Search of an Epistemic Theory X.Richard Pettigrew - 2018 - Noûs 52 (2):336-372.
    Consider Phoebe and Daphne. Phoebe has credences in 1 million propositions. Daphne, on the other hand, has credences in all of these propositions, but she's also got credences in 999 million other propositions. Phoebe's credences are all very accurate. Each of Daphne's credences, in contrast, are not very accurate at all; each is a little more accurate than it is inaccurate, but not by much. Whose doxastic state is better, Phoebe's or Daphne's? It is clear that this question is analogous (...)
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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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  • Two dogmas of deontology: Aggregation, rights, and the separateness of persons: Alastair Norcross.Alastair Norcross - 2009 - Social Philosophy and Policy 26 (1):76-95.
    One of the currently popular dogmata of anti-consequentialism is that consequentialism doesn't respect, recognize, or in some important way account for what is referred to as the The charge is often made, but rarely explained in any detail, much less argued for. In this paper I explain what I take to be the most plausible interpretation of the separateness of persons charge. I argue that the charge itself can be deconstructed into at least two further objections to consequentialist theories. These (...)
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  • Priority to the young or to those with least lifetime health?Ole Frithjof Norheim - 2010 - American Journal of Bioethics 10 (4):60 – 61.
  • Wide reflective equilibrium as a method of justification in bioethics.Peter Nichols - 2012 - Theoretical Medicine and Bioethics 33 (5):325-341.
    Carson Strong has recently argued that wide reflective equilibrium (WRE) is an unacceptable method of justification in bioethics. In its place, Strong recommends a methodology in which certain foundational moral judgments play a central role in the justification of moral beliefs, and coherence plays a limited justificatory role in that the rest of our judgments are made to cohere with these foundational judgments. In this paper, I argue that Strong’s chief criticisms of WRE are unsuccessful and that his proposed alternative (...)
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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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  • The Sum of Well-Being.Jacob M. Nebel - 2023 - Mind 132 (528):1074–1104.
    Is well-being the kind of thing that can be summed across individuals? This paper takes a measurement-theoretic approach to answering this question. To make sense of adding well-being, we would need to identify some natural "concatenation" operation on the bearers of well-being that satisfies the axioms of extensive measurement and can therefore be represented by the arithmetic operation of addition. I explore various proposals along these lines, involving the concatenation of segments within lives over time, of entire lives led alongside (...)
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  • A fixed-population problem for the person-affecting restriction.Jacob M. Nebel - 2020 - Philosophical Studies 177 (9):2779-2787.
    According to the person-affecting restriction, one distribution of welfare can be better than another only if there is someone for whom it is better. Extant problems for the person-affecting restriction involve variable-population cases, such as the nonidentity problem, which are notoriously controversial and difficult to resolve. This paper develops a fixed-population problem for the person-affecting restriction. The problem reveals that, in the presence of incommensurable welfare levels, the person-affecting restriction is incompatible with minimal requirements of impartial beneficence even in fixed-population (...)
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  • Asymmetries in the Value of Existence.Jacob M. Nebel - 2019 - Philosophical Perspectives 33 (1):126-145.
    According to asymmetric comparativism, it is worse for a person to exist with a miserable life than not to exist, but it is not better for a person to exist with a happy life than not to exist. My aim in this paper is to explain how asymmetric comparativism could possibly be true. My account of asymmetric comparativism begins with a different asymmetry, regarding the (dis)value of early death. I offer an account of this early death asymmetry, appealing to the (...)
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  • Infinite options, intransitive value, and supererogation.Daniel Muñoz - 2020 - Philosophical Studies 178 (6):2063-2075.
    Supererogatory acts are those that lie “beyond the call of duty.” There are two standard ways to define this idea more precisely. Although the definitions are often seen as equivalent, I argue that they can diverge when options are infinite, or when there are cycles of better options; moreover, each definition is acceptable in only one case. I consider two ways out of this dilemma.
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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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  • 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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  • Many-valued logic and sequence arguments in value theory.Simon Knutsson - 2021 - Synthese 199 (3-4):10793-10825.
    Some find it plausible that a sufficiently long duration of torture is worse than any duration of mild headaches. Similarly, it has been claimed that a million humans living great lives is better than any number of worm-like creatures feeling a few seconds of pleasure each. Some have related bad things to good things along the same lines. For example, one may hold that a future in which a sufficient number of beings experience a lifetime of torture is bad, regardless (...)
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  • How to accept the transitivity of better than.Justin Klocksiem - 2016 - Philosophical Studies 173 (5):1309-1334.
    Although the thesis that the moral better than relation is transitive seems obviously true, there is a growing literature according to which Parfit’s repugnant conclusion and related puzzles reveal that this thesis is false or problematic. This paper begins by presenting several such puzzles and explaining how they can be used in arguments for the intransitivity of better than. It then proposes and defends a plausible alternative picture of the behavior of better than that both resolves the repugnant conclusion and (...)
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  • On the Ranking of Teams.Stephen Kershnar & James Delaney - 2021 - Philosophia 50 (2):567-579.
    In this paper, we argue that in a possible world there is a determinate ranking of teams. Our argument rests on the premise: In theory, nothing prevents a determinate better than ranking. This premise in turn rests on assumptions with regard to stipulations regarding ‘better than’ and nature of a competition as well as a right answer theory of interpretation. We then speculate that in some actual leagues in some years, there were determinate rankings. We consider objections that focus on (...)
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  • Revisionary intuitionism.Michael Huemer - 2008 - Social Philosophy and Policy 25 (1):368-392.
    I argue that, given evidence of the factors that tend to distort our intuitions, ethical intuitionists should disown a wide range of common moral intuitions, and that they should typically give preference to abstract, formal intuitions over more substantive ethical intuitions. In place of the common sense morality with which intuitionism has traditionally allied, the suggested approach may lead to a highly revisionary normative ethics.
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  • In defence of repugnance.Michael Huemer - 2008 - Mind 117 (468):899-933.
    I defend the 'Repugnant' Conclusion that for any possible population of happy people, a population containing a sufficient number of people with lives barely worth living would be better. Four lines of argument converge on this conclusion, and the conclusion has a simple, natural theoretical explanation. The opposition to the Repugnant Conclusion rests on a bare appeal to intuition. This intuition is open to charges of being influenced by multiple distorting factors. Several theories of population ethics have been devised to (...)
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  • Against Equality and Priority.Michael Huemer - 2012 - Utilitas 24 (4):483-501.
    -/- I start from three premises, roughly as follows: (1) that if possible world x is better than world y for every individual who exists in either world, then x is better than y; (2) that if x has a higher average utility, a higher total utility, and no more inequality than y, then x is better than y; (3) that better than is transitive. From these premises, it follows that benefits given to the worse off contribute no more to (...)
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  • Degrees of commensurability and the repugnant conclusion.Alan Hájek & Wlodek Rabinowicz - 2021 - Noûs 56 (4):897-919.
    Two objects of valuation are said to be incommensurable if neither is better than the other, nor are they equally good. This negative, coarse-grained characterization fails to capture the nuanced structure of incommensurability. We argue that our evaluative resources are far richer than orthodoxy recognizes. We model value comparisons with the corresponding class of permissible preference orderings. Then, making use of our model, we introduce a potentially infinite set of degrees of approximation to better, worse, and equally good, which we (...)
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  • Toward a Hybrid Theory of How to Allocate Health-related Resources.Anders Herlitz - 2023 - Journal of Medicine and Philosophy 48 (4):373-383.
    How should scarce health-related resources be allocated? This paper argues that values that apply to these decisions fail to always fully determine what we should do. Health maximization and allocation-according-to-need are suggested as two values that should be part of a general theory of how to allocate health-related resources. The “small improvement argument” is used to argue that it is implausible that one alternative is always better, worse, or equal to another alternative with respect to these values. Approaches that rely (...)
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  • Spectrum Arguments, Parity and Persistency.Anders Herlitz - 2020 - Theoria 86 (4):463-481.
    This article shows that introducing the positive comparative relation parity only helps one block so‐called “Spectrum Arguments” in order to avoid their unsavoury implications if one specifies parity in a specific way with respect to its persistence. The article illustrates how parity must both admit of persistency and be weakly non‐persistent for parity to block Spectrum Arguments, and identifies some consequences of that discovery for the general debate on Spectrum Arguments, value theory and comparability problems.
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  • Non-transitive Better than Relations and Rational Choice.Anders Herlitz - 2020 - Philosophia 48 (1):179-189.
    This paper argues that decision problems and money-pump arguments should not be a deciding factor against accepting non-transitive better than relations. If the reasons to accept normative standpoints that entail a non-transitive better than relation are compelling enough, we ought to revise our decision method rather than the normative standpoints. The paper introduces the most common argument in favor of non-transitive better than relations. It then illustrates that there are different ways to reconceptualize rational choice so that rational choice is (...)
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  • Nondeterminacy, cycles and rational choice.Anders Herlitz - 2020 - Analysis 80 (3):443-449.
    A notorious problem that has recently received increased attention in axiology, normative theory and population ethics is the apparent ubiquity of what can be generally called nondeterminacy. This paper illustrates how nondeterminacy can spawn cyclical rankings. So, accepting that practical reasons can admit of nondeterminacy challenges the widely held idea that ‘better than’ is transitive. As a result, standard approaches to rational choice under nondeterminacy fail to be action-guiding, since in some situations all options are dominated, that is, impermissible according (...)
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  • Committing to Priorities: Incompleteness in Macro-Level Health Care Allocation and Its Implications.Anders Herlitz - 2018 - Journal of Medicine and Philosophy 43 (6):724-745.
    This article argues that values that apply to health care allocation entail the possibility of “spectrum arguments,” and that it is plausible that they often fail to determine a best alternative. In order to deal with this problem, a two-step process is suggested. First, we should identify the Strongly Uncovered Set that excludes all alternatives that are worse than some alternatives and not better in any relevant dimension from the set of eligible alternatives. Because the remaining set of alternatives often (...)
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  • Dimensions of Value.Brian Hedden & Daniel Muñoz - forthcoming - Noûs.
    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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  • 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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  • Extended Preferences and Interpersonal Comparisons of Well‐being.Hilary Greaves & Harvey Lederman - 2016 - Philosophy and Phenomenological Research 96 (3):636-667.
    An important objection to preference-satisfaction theories of well-being is that these theories cannot make sense of interpersonal comparisons of well-being. A tradition dating back to Harsanyi () attempts to respond to this objection by appeal to so-called extended preferences: very roughly, preferences over situations whose description includes agents’ preferences. This paper examines the prospects for defending the preference-satisfaction theory via this extended preferences program. We argue that making conceptual sense of extended preferences is less problematic than others have supposed, but (...)
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  • Aggregating extended preferences.Hilary Greaves & Harvey Lederman - 2017 - Philosophical Studies 174 (5):1163-1190.
    An important objection to preference-satisfaction theories of well-being is that they cannot make sense of interpersonal comparisons. A tradition dating back to Harsanyi :434, 1953) attempts to solve this problem by appeal to people’s so-called extended preferences. This paper presents a new problem for the extended preferences program, related to Arrow’s celebrated impossibility theorem. We consider three ways in which the extended-preference theorist might avoid this problem, and recommend that she pursue one: developing aggregation rules that violate Arrow’s Independence of (...)
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  • Mereological Dominance and the Logic of Better-Than.James Goodrich - 2016 - Utilitas 28 (4):361-367.
    It's been argued that better- than is non-transitive – that there are some value bearers for which better- than fails to generate an acyclic ordering. Michael Huemer has offered a powerful objection to this view, which he dubs ‘The Dominance Argument’. In what follows, I consider the extent to which there is a plausible response to be made on behalf of those who hold that better- than is non-transitive. I conclude that there is.
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