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Some Possibilities in Population Axiology

Mind 127 (507):807-832 (2018)

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  1. Additive representation of separable preferences over infinite products.Marcus Pivato - 2014 - Theory and Decision 77 (1):31-83.
    Let X\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal{X }$$\end{document} be a set of outcomes, and let I\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal{I }$$\end{document} be an infinite indexing set. This paper shows that any separable, permutation-invariant preference order \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$$$\end{document} on XI\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal{X }^\mathcal{I }$$\end{document} admits an additive representation. That is: there exists a linearly ordered abelian group R\documentclass[12pt]{minimal} (...)
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  • Infinite Ethics.Nick Bostrom - 2011 - Analysis and Metaphysics 10:9–59.
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  • (1 other version)Moral Vagueness: A Dilemma for Non-Naturalism.Cristian Constantinescu - 2014 - In Russ Shafer-Landau (ed.), Oxford Studies in Metaethics, Volume 9. Oxford, GB: Oxford University Press. pp. 152-185.
    In this paper I explore the implications of moral vagueness (viz., the vagueness of moral predicates) for non-naturalist metaethical theories like those recently championed by Shafer-Landau, Parfit, and others. I characterise non-naturalism in terms of its commitment to 7 theses: Cognitivism, Correspondence, Atomism, Objectivism, Supervenience, Non-reductivism, and Rationalism. I start by offering a number of reasons for thinking that moral predicates are vague in the same way in which ‘red’, ‘tall’, and ‘heap’ are said to be. I then argue that (...)
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  • Vague Value.Tom Dougherty - 2013 - Philosophy and Phenomenological Research 89 (2):352-372.
    You are morally permitted to save your friend at the expense of a few strangers, but not at the expense of very many. However, there seems no number of strangers that marks a precise upper bound here. Consequently, there are borderline cases of groups at the expense of which you are permitted to save your friend. This essay discusses the question of what explains ethical vagueness like this, arguing that there are interesting metaethical consequences of various explanations.
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  • (1 other version)Rethinking the Good: Moral Ideals and the Nature of Practical Reasoning.Larry S. Temkin - 2012 - , US: Oxford University Press.
    Temkin's book is a very original and deeply unsettling work of skeptical philosophy that mounts an important new challenge to contemporary ethics.
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  • (1 other version)Future Generations: A Challenge for Moral Theory.Gustaf Arrhenius - 2000 - Dissertation, Uppsala University
    For the last thirty years or so, there has been a search underway for a theory that can accommodate our intuitions in regard to moral duties to future generations. The object of this search has proved surprisingly elusive. The classical moral theories in the literature all have perplexing implications in this area. Classical Utilitarianism, for instance, implies that it could be better to expand a population even if everyone in the resulting population would be much worse off than in the (...)
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  • The Very Repugnant Conclusion.Gustaf Arrhenius - 2003 - In Krister Segerberg & Ryszard Sliwinski (eds.), Logic, Law, Morality: Thirteen Essays in Practical Philosophy in Honour of Lennart Åqvist. Department of Philosophy, Uppsala University. pp. 29-44.
    Population axiology concerns how to evaluate populations in regard to their goodness, that is, how to order populations by the relations “is better than” and “is as good as”. This field has been riddled with “paradoxes” which seem to show that our considered beliefs are inconsistent in cases where the number of people and their welfare varies. Already in Derek Parfit’s seminal contribution to the topic, an informal paradox — the Mere Addition Paradox — was presented and later contributions have (...)
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  • Weighing lives.John Broome - 2004 - New York: Oxford University Press.
    We are often faced with choices that involve the weighing of people's lives against each other, or the weighing of lives against other good things. These are choices both for individuals and for societies. A person who is terminally ill may have to choose between palliative care and more aggressive treatment, which will give her a longer life but at some cost in suffering. We have to choose between the convenience to ourselves of road and air travel, and the lives (...)
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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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  • (1 other version)Trading Quality for Quantity.Christopher Knapp - 2007 - Journal of Philosophical Research 32 (1):211–33.
    This paper deals with problems that vagueness raises for choices involving evaluative tradeoffs. I focus on a species of such choices, which I call ‘qualitative barrier cases.’ These are cases in which a qualitatively significant tradeoff in one evaluative dimension for a given improvement in another dimension could not make an option better all things considered, but a merely quantitative tradeoff for the given improvement might. Trouble arises, however, when one of the options constitutes a borderline case of an evaluative (...)
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  • (1 other version)Future generations: A challenge for moral theory.Gustaf Arrhenius - manuscript
    FD-Diss., Uppsala: University Printers, 2000 (ix+225 pages).
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  • An impossibility theorem for welfarist axiologies.Gustaf Arrhenius - 2000 - Economics and Philosophy 16 (2):247-266.
    A search is under way for a theory that can accommodate our intuitions in population axiology. The object of this search has proved elusive. This is not surprising since, as we shall see, any welfarist axiology that satisfies three reasonable conditions implies at least one of three counter-intuitive conclusions. I shall start by pointing out the failures in three recent attempts to construct an acceptable population axiology. I shall then present an impossibility theorem and conclude with a short discussion of (...)
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  • Reasons and Persons.Derek Parfit - 1984 - Oxford, GB: Oxford University Press.
    Challenging, with several powerful arguments, some of our deepest beliefs about rationality, morality, and personal identity, Parfit claims that we have a false view about our own nature. It is often rational to act against our own best interersts, he argues, and most of us have moral views that are self-defeating. We often act wrongly, although we know there will be no one with serious grounds for complaint, and when we consider future generations it is very hard to avoid conclusions (...)
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  • (1 other version)What Should We Do About Future Generations? Impossibility of Parfit’s Theory X.Yew-Kwang Ng - 1989 - Economics and Philosophy 5 (2):235--253.
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  • (1 other version)The Impossibility of a Satisfactory Population Ethics.Gustaf Arrhenius - 2011 - In Ehtibar N. Dzhafarov & Lacey Perry (eds.), Descriptive and Normative Approaches to Human Behavior. World Scientific Publishing Company. pp. 1–26.
    Population axiology concerns how to evaluate populations in regard to their goodness, that is, how to order populations by the relations “is better than ” and “is as good as”. This field has been riddled with paradoxes and impossibility results which seem to show that our considered beliefs are inconsistent in cases where the number of people and their welfare varies. All of these results have one thing in common, however. They all involve an adequacy condition that rules out Derek (...)
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  • Topics in Population Ethics.Teruji Thomas - 2016 - Dissertation, University of Oxford
    This thesis consists of several independent papers in population ethics. I begin in Chapter 1 by critiquing some well-known 'impossibility theorems', which purport to show there can be no intuitively satisfactory population axiology. I identify axiological vagueness as a promising way to escape or at least mitigate the effects of these theorems. In particular, in Chapter 2, I argue that certain of the impossibility theorems have little more dialectical force than sorites arguments do. From these negative arguments I move to (...)
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  • (1 other version)Moral Vagueness: A Dilemma for Non-Naturalism.Cristian Constantinescu - 2014 - Oxford Studies in Metaethics 9.
    This chapter explores the implications of moral vagueness for non-naturalist metaethical theories like those recently championed by Shafer-Landau, Parfit, and others. It characterizes non-naturalism in terms of its commitment to seven theses: Cognitivism, Correspondence, Atomism, Objectivism, Supervenience, Non-reductivism, and Rationalism. It starts by offering a number of reasons for thinking that moral predicates are vague in the same way in which “red,” “tall,” and “heap” are said to be. It then argues that the moral non-naturalist seeking to countenance moral vagueness (...)
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  • (6 other versions)Utilitarianism.John Stuart Mill - 2008 - In Steven M. Cahn (ed.), Seven Masterpieces of Philosophy. Routledge. pp. 337--383.
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  • (1 other version)Reasons and Persons.Joseph Margolis - 1986 - Philosophy and Phenomenological Research 47 (2):311-327.
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  • Weighing Lives.Daniel M. Hausman - 2005 - Mind 114 (455):718-722.
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  • (1 other version)Trading Quality for Quantity.Christopher Knapp - 2007 - Journal of Philosophical Research 32:211-233.
    This paper deals with problems that vagueness raises for choices involving evaluative tradeoffs. I focus on a species of such choices, which I call ‘qualitative barrier cases.’ These are cases in which a qualitatively significant tradeoff in one evaluative dimension for a given improvement in another dimension could not make an option better all things considered, but a merely quantitative tradeoff for the given improvement might. Trouble arises, however, when one of the options constitutes a borderline case of an evaluative (...)
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  • (5 other versions)Utilitarianism.John Stuart Mill - 1863 - Cleveland: Cambridge University Press. Edited by Geraint Williams.
    Reissued here in its corrected second edition of 1864, this essay by John Stuart Mill argues for a utilitarian theory of morality. Originally printed as a series of three articles in Fraser's Magazine in 1861, the work sought to refine the 'greatest happiness' principle that had been championed by Jeremy Bentham, defending it from common criticisms, and offering a justification of its validity. Following Bentham, Mill holds that actions can be judged as right or wrong depending on whether they promote (...)
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  • Can We Avoid the Repugnant Conclusion?Derek Parfit - 2016 - Theoria 82 (2):110-127.
    According to the Repugnant Conclusion: Compared with the existence of many people who would all have some very high quality of life, there is some much larger number of people whose existence would be better, even though these people would all have lives that were barely worth living. I suggest some ways in which we might be able to avoid this conclusion. I try to defend a strong form of lexical superiority.
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  • The Value of Existence.Wlodek Rabinowicz & Gustaf Arrhenius - 2015 - In Iwao Hirose & Jonas Olson (eds.), The Oxford Handbook of Value Theory. New York NY: Oxford University Press USA. pp. 424-444.
    Can it be better or worse for a person to exist than not to exist at all? This old and challenging existential question has been raised anew in contemporary moral philosophy, mainly for two reasons. First, traditional “impersonal” ethical theories, such as utilitarianism, have counterintuitive implications in population ethics, for example, the repugnant conclusion. Second, it has seemed evident to many that an outcome can be better than another only if it is better for someone, and that only moral theories (...)
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  • Moral Vagueness Is Ontic Vagueness.Miriam Schoenfield - 2016 - Ethics 126 (2):257-282.
    The aim of this essay is to argue that, if a robust form of moral realism is true, then moral vagueness is ontic vagueness. The argument is by elimination: I show that neither semantic nor epistemic approaches to moral vagueness are satisfactory.
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  • Critical Notices.Rosanna Keefe - 2003 - Philosophy and Phenomenological Research 67 (2):491-500.
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  • Theories of Vagueness.Rosanna Keefe - 2003 - Philosophical Quarterly 53 (212):460-462.
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  • (5 other versions)Utilitarianism.John Stuart Mill - 1864 - Rutland, Vt.: Tuttle. Edited by Geraint Williams.
    This is an important work for those studying the concept of utilitarianism, or those who are interested in the writings of John Stuart Mill.
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  • Transitivity and vagueness.Mozaffar Qizilbash - 2005 - Economics and Philosophy 21 (1):109-131.
    Axiomatic utility theory plays a foundational role in some accounts of normative principles. In this context, it is sometimes argued that transitivity of “better than” is a logical truth. Larry Temkin and Stuart Rachels use various examples to argue that “better than” is non–transitive, and that transitivity is not a logical truth. These examples typically involve some sort of “discontinuity.” In his discussion of one of these examples, John Broome suggests that we should reject the claim which involves “discontinuity.” We (...)
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  • (1 other version)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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  • (1 other version)Population Ethics and Different‐Number‐Based Imprecision.Gustaf Arrhenius - 2016 - Theoria 82 (2):166-181.
    Recently, in his Rolf Schock Prize Lecture, Derek Parfit has suggested a novel way of avoiding the Repugnant Conclusion by introducing what he calls “imprecision” in value comparisons. He suggests that in a range of important cases, populations of different sizes are only imprecisely comparable. Parfit suggests that this feature of value comparisons opens up a way of avoiding the Repugnant Conclusion without implying other counterintuitive conclusions, and thus solves one of the major challenges in ethics. In this article, I (...)
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  • (1 other version)Population Ethics and Different-Number-Based Imprecision.Gustaf Arrhenius - 2016 - Theoria 82 (2):166-181.
    Recently, in his Rolf Schock Prize Lecture, Derek Parfit has suggested a novel way of avoiding the Repugnant Conclusion by introducing what he calls “imprecision” in value comparisons. He suggests that in a range of important cases, populations of different sizes are only imprecisely comparable. Parfit suggests that this feature of value comparisons opens up a way of avoiding the Repugnant Conclusion without implying other counterintuitive conclusions, and thus solves one of the major challenges in ethics. In this article, I (...)
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  • (1 other version)John Broome, Weighing Lives. [REVIEW]Jacob Ross - 2007 - Philosophical Review 116 (4):663-666.
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  • Theories of Vagueness.Rosanna Keefe - 2000 - New York: Cambridge University Press.
    Most expressions in natural language are vague. But what is the best semantic treatment of terms like 'heap', 'red' and 'child'? And what is the logic of arguments involving this kind of vague expression? These questions are receiving increasing philosophical attention, and in this book, first published in 2000, Rosanna Keefe explores the questions of what we should want from an account of vagueness and how we should assess rival theories. Her discussion ranges widely and comprehensively over the main theories (...)
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  • Value Superiority.Gustaf Arrhenius & Wlodek Rabinowicz - 2015 - In Iwao Hirose & Jonas Olson (eds.), The Oxford Handbook of Value Theory. New York NY: Oxford University Press USA. pp. 225-248.
    Suppose that A and B are two kinds of goods such that more of each is better than less. A is strongly superior to B if any amount of A is better than any amount of B. It is weakly superior to B if some amount of A is better than any amount of B. There are many examples of these relations in the literature, sometimes under the labels “higher goods” and “discontinuity.” The chapter gives a precise and generalized statement (...)
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  • Why We Ought to Accept the Repugnant Conclusion.Torbjörn Tännsjö - 2002 - Utilitas 14 (3):339.
    Derek Parfit has famously pointed out that ‘total’ utilitarian views, such as classical hedonistic utilitarianism, lead to the conclusion that, to each population of quite happy persons there corresponds a more extensive population with people living lives just worth living, which is better. In particular, for any possible population of at least ten billion people, all with a very high quality of life, there must be some much larger imaginable population whose existence, if other things are equal, would be better, (...)
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  • Mere Addition and Two Trilemmas of Population Ethics.Erik Carlson - 1998 - Economics and Philosophy 14 (2):283.
    A principal aim of the branch of ethics called ‘population theory’ or ‘population ethics’ is to find a plausible welfarist axiology, capable of comparing total outcomes with respect to value. This has proved an exceedingly difficult task. In this paper I shall state and discuss two ‘trilemmas’, or choices between three unappealing alternatives, which the population ethicist must face. The first trilemma is not new. It originates with Derek Parfit's well-known ‘Mere Addition Paradox’, and was first explicitly stated by Yew-Kwang (...)
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  • Vagueness by Degrees.Dorothy Edgington - 1996 - In Rosanna Keefe & Peter Smith (eds.), Vagueness: A Reader. MIT Press.
    Book synopsis: Vagueness is currently the subject of vigorous debate in the philosophy of logic and language. Vague terms-such as "tall", "red", "bald", and "tadpole"—have borderline cases ; and they lack well-defined extensions. The phenomenon of vagueness poses a fundamental challenge to classical logic and semantics, which assumes that propositions are either true or false and that extensions are determinate. Another striking problem to which vagueness gives rise is the sorites paradox. If you remove one grain from a heap of (...)
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  • (1 other version)Repugnance or Intransitivity: A Repugnant But Forced Choice.Stuart Rachels - 2004 - In Torbjörn Tännsjö & Jesper Ryberg (eds.), The Repugnant Conclusion: Essays on Population Ethics. Kluwer Academic Publishers. pp. 163--86.
    A set of arguments shows that either the Repugnant Conclusion and its variants are true or the better-than relation isn't transitive. Which is it? This is the most important question in population ethics. The answer will point the way to Parfit's elusive Theory X.
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  • On Some Impossibility Theorems in Population Ethics.Erik Carlson - 2022 - In Gustaf Arrhenius, Krister Bykvist, Tim Campbell & Elizabeth Finneron-Burns (eds.), The Oxford Handbook of Population Ethics. Oxford University Press.
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  • (1 other version)What Should We Do About Future Generations?Yew-Kwang Ng - 1989 - Economics and Philosophy 5 (2):235.
    Parfit's requirements for an ideal Theory X cannot be fully met since the Mere Addition Principle and Non-Antiegalitarianism imply the Repugnant Conclusion: Theory X does not exist. However, since the Repugnant Conclusion is really compelling, the Impersonal Total Principle should be adopted for impartial comparisons concerning future generations. Nevertheless, where our own interests are affected, we may yet choose to be partial, trading off our concern for future goodness with our self-interests. Theory X' meets all Parfit's requirements except the Mere (...)
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  • One more axiological impossibility theorem.Gustaf Arrhenius - 2009 - In Lars-Göran Johansson, Jan Österberg & Ryszard Sliwinski (eds.), Logic, Ethics and all that Jazz: Essays in Honour of Jordan Howard Sobel. pp. 23-37.
    Population axiology concerns how to evaluate populations in regard to their goodness, that is, how to order populations by the relations “is better than” and “is as good as”. This field has been riddled with impossibility results which seem to show that our considered beliefs are inconsistent in cases where the number of people and their welfare varies.1 All of these results have one thing in common, however. They all involve an adequacy condition that rules out Derek Parfit’s Repugnant Conclusion: (...)
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  • The paradoxes of future generations and normative theory.Gustaf Arrhenius - 2004 - In Torbjörn Tännsjö & Jesper Ryberg (eds.), The Repugnant Conclusion: Essays on Population Ethics. Kluwer Academic Publishers. pp. 201-218.
    As the title of this paper indicates, I’m going to discuss what we ought to do in situations where our actions affect future generations. More specifically, I shall focus on the moral problems raised by cases where our actions affect who’s going to live, their number and their well being. I’ll start, however, with population axiology. Most discussion in population ethics has concentrated on how to evaluate populations in regard to their goodness, that is, how to order populations by the (...)
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  • (1 other version)Population ethics: On parfit’s views concerning future generations.W. Robert Pulvertaft - 1991 - Danish Yearbook of Philosophy 26 (1):33.
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  • (1 other version)Rethinking the Good: Moral Ideals and the Nature of Practical Reasoning.Larry S. Temkin - 2011 - , US: Oxford University Press USA.
    In choosing between moral alternatives -- choosing between various forms of ethical action -- we typically make calculations of the following kind: A is better than B; B is better than C; therefore A is better than C. These inferences use the principle of transitivity and are fundamental to many forms of practical and theoretical theorizing, not just in moral and ethical theory but in economics. Indeed they are so common as to be almost invisible. What Larry Temkin's book shows (...)
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  • Higher Values and Non-Archimedean Additivity.Erik Carlson - 2007 - Theoria 73 (1):3-27.
    Many philosophers have claimed that extensive or additive measurement is incompatible with the existence of "higher values", any amount of which is better than any amount of some other value. In this paper, it is shown that higher values can be incorporated in a non-standard model of extensive measurement, with values represented by sets of ordered pairs of real numbers, rather than by single reals. The suggested model is mathematically fairly simple, and it applies to structures including negative as well (...)
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  • Parfit’s Puzzle.Philip Kitcher - 2000 - Noûs 34 (4):550–577.
    In the brilliant final section of Reasons and Persons , Derek Parfit presents a puzzle about how the goodness of states of affairs relates to the quality of the lives led by people in those states. Stripped to barest essentials, the puzzle runs as follows: if the value of a state is obtained simply by aggregating the quantity of whatever makes life worth living, then a world in which a significant number of people (say ten billion) enjoy lives of very (...)
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  • Antiprioritarianism.Hilary Greaves - 2015 - Utilitas 27 (1):1-42.
    Prioritarianism is supposed to be a theory of the overall good that captures the common intuition of . But it is difficult to give precise content to the prioritarian claim. Over the past few decades, prioritarians have increasingly responded to this by formulating prioritarianism not in terms of an alleged primitive notion of quantity of well-being, but instead in terms of von NeumannPrimitivistTechnicalpriority to the worse offMorgenstern utility is a retrograde step.
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  • Separability in Population Ethics.Teruji Thomas - 2022 - In Gustaf Arrhenius, Krister Bykvist, Tim Campbell & Elizabeth Finneron-Burns (eds.), The Oxford Handbook of Population Ethics. Oxford University Press. pp. 271-295.
    Separability is roughly the principle that, in comparing the value of two outcomes, one can ignore any people whose existence and welfare are unaffected. Separability is both antecedently plausible, at least as a principle of beneficence, and surprisingly powerful; it is the key to some of the best positive arguments in population ethics. This chapter surveys the motivations for and consequences of separability. In particular, it presents an ‘additivity theorem’ which explains how separability leads to total utilitarianism and closely related (...)
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