Suppose one sets up a sequence of less and less valuable objects such that each object in the sequence is only marginally worse than its immediate predecessor. Could one in this way arrive at something that is dramatically inferior to the point of departure? It has been claimed that if there is a radical value difference between the objects at each end of the sequence, then at some point there must be a corresponding radical difference between the adjacent elements. The (...) underlying picture seems to be that a radical gap cannot be scaled by a series of steps, if none of the steps itself is radical. We show that this picture is incorrect on a stronger interpretation of value superiority, but correct on a weaker one. Thus, the conclusion we reach is that, in some sense at least, abrupt breaks in such decreasing sequences cannot be avoided, but that such unavoidable breaks are less drastic than has been suggested. In an appendix written by John Broome and Wlodek Rabinowicz, the distinction between two kinds of value superiority is extended from objects to their attributes. (shrink)

Recent Work on Intrinsic Value brings together for the first time many of the most important and influential writings on the topic of intrinsic value to have appeared in the last half-century. During this period, inquiry into the nature of intrinsic value has intensified to such an extent that at the moment it is one of the hottest topics in the field of theoretical ethics. The contributions to this volume have been selected in such a way that all of the (...) fundamental questions concerning the nature of intrinsic value are treated in depth and from a variety of viewpoints. These questions include how to understand the concept of intrinsic value, what sorts of things can have intrinsic value, and how to compute intrinsic value. The editors have added an introduction that ties these questions together and places the contributions in context, and they have also provided an extensive bibliography. The result is a comprehensive, balanced, and detailed picture of current thinking about intrinsic value, one that provides an indispensable backdrop against which future writings on the topic may be assessed. (shrink)

Pluralism is an appealing and now orthodox view of the sources of value. But pluralism has led to well-known difficulties for social-choice theory. Moreover, as Susan Hurley has argued, the difficulties of pluralism go even deeper. In 1954, Kenneth May suggested an intrapersonal analogue to Arrow's Impossibility Theorem. In brief, May showed that an individual's response to a plurality of values will, given certain additional assumptions, lead to intransitive preference orderings. (Daniel Kahneman and others have shown that intransitivity is an (...) empirical feature of preferences.) Hurley challenged May's additional assumptions as implausibly strong; but her work did not exclude the possibility that values may disobey the canon of rationality that insists on transitivity. John Broome has recently extended these canons to the "betterness" relation. This chapter argues that there is no good reason to be confident that values, understood as real features of the world, behave consistently with those canons. (shrink)

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.

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 (...) that Quasi-Maximization is not a maximizing theory, but (ii) ensures that its evaluations will often coincide with such theories. (shrink)

According to Transitivity, if A is better than B, and B is better than C, then A is better than C. We may understand “better than” as short for any of the following: “intrinsically better than,” “all things considered better than,” “hedonically better than,” and “better for a person than.” The same puzzle arises on each interpretation. Transitivity seems entrenched in our conceptual scheme, if not analytically true; its failure implies, implausibly, that some possibilities cannot be ranked in terms of (...) value; scads of three-member sets inductively confirm it; and hypothetical money-pumpers coax its detractors out of house and home by proffering a series of trades—C for A, B for C and A for B (and then repeating the cycle)—for an endlessly accumulating price. Nevertheless, two highly plausible principles entail that Transitivity is false. (shrink)

Ethicists and economists commonly assume that if A is all things considered better than B, and B is all things considered better than C, then A is all things considered better than C. Call this principle Transitivity. Although it has great conceptual, intuitive, and empirical appeal, I argue against it. Larry S. Temkin explains how three types of ethical principle, which cannot be dismissed a priori, threaten Transitivity: (a) principles implying that in some cases different factors are relevant to comparing (...) A to C than to comparing A to B or B to C; (b) principles of limited scope; (c) principles implying that morally relevant differences in degree can amount to differences in kind. My counterexamples employ a principle of type (c): pleasures and pains enormously different in intensity differ in kind. Temkin has also endorsed this type of counterexample, using arguments based on earlier drafts of this paper. (shrink)

Stuart Rachels and Larry Temkin have offered a purported counter-example to the acyclicity of the relationship 'all things considered better than'. This example invokes our intuitive preferences over pairs of alternatives involving a single person's painful experiences of varying intensity and duration. These preferences, Rachels and Temkin claim, are confidently held, entirely reasonable, and cyclical. They conclude that we should drop acyclicity as a requirement of rationality. I argue that, together with the findings of recent research on the way people (...) evaluate episodes of pain, the use of a heuristic known as similarity-based decision-making explains why our intuitive preferences may violate acyclicity in this example. I argue that this explanation should lead us to regard these preferences with suspicion, because it indicates that they may be the result of one or more biases. I conclude that Rachels' and Temkin's example does not provide sufficient grounds for rejecting acyclicity. Key Words: acyclicity • rationality • similarity-based decision-making • heuristics and biases • pain evaluation. (shrink)

A persistent argument against the transitivity assumption of rational choice theory postulates a repeatable action that generates a significant benefit at the expense of a negligible cost. No matter how many times the action has been taken, it therefore seems reasonable for a decision-maker to take the action one more time. However, matters are so fixed that the costs of taking the action some large number of times outweigh the benefits. In taking the action some large number of times on (...) the grounds that the benefits outweigh the costs every time, the decision-maker therefore reveals intransitive preferences, since once she has taken it this large number of times, she would prefer to return to the situation in which she had never taken the action at all. We defend transitivity against two versions of this argument: one in which it is assumed that taking the action one more time never has any perceptible cost, and one in which it is assumed that the cost of taking the action, though (sometimes) perceptible, is so small as to be outweighed at every step by the significant benefit. We argue that the description of the choice situation in the first version involves a contradiction. We also argue that the reasoning used in the second version is a form of similarity-based decision-making. We argue that when the consequences of using similarity-based decision-making are brought to light, rational decision-makers revise their preferences. We also discuss one method that might be used in performing this revision. (shrink)