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)

According to a widely accepted philosophical model, agent-regret is practically significant and appropriate when the agent committed a mistake, or she faced a conflict of obligations. I argue that this account misunderstands moral phenomenology because it does not adequately characterize the object of agent-regret. I suggest that the object of agent-regret should be defined in terms of valuable unchosen alternatives supported by reasons. This model captures the phenomenological varieties of regret and explains its practical significance for the agent. My contention (...) is that agent-regret is a mode of valuing: a way in which the agent expresses and confers value. (shrink)

John Broome has argued that alleged cases of value incomparability are really examples of vagueness in the betterness relation. The main premiss of his argument is ‘the collapsing principle’. I argue that this principle is dubious, and that Broome's argument is therefore unconvincing. Correspondence:c1 Erik.Carlson@filosofi.uu.se.

This paper begins with a response to Josh Gert’s challenge that ‘on a par with’ is not a sui generis fourth value relation beyond ‘better than’, ‘worse than’, and ‘equally good’. It then explores two further questions: can parity be modeled by an interval representation of value? And what should one rationally do when faced with items on a par? I argue that an interval representation of value is incompatible with the possibility that items are on a par (a mathematical (...) proof is given in the appendix). I also suggest that there are three senses of ‘rationally permissible’ which, once distinguished, show that parity does distinctive practical work that cannot be done by the usual trichotomy of relations or by incomparability. In this way, we have an additional argument for parity from the workings of practical reason. (shrink)

The central aim of this book is to answer two questions: Are alternatives for choice ever incomparable? and, In what ways can items be compared? The arguments offered suggest that alternatives for choice no matter how different are never incomparable, and that the ways in which items can be compared are richer and more varied than commonly supposed. This work is the first book length treatment of the topics of incomparability, value, and practical reason.

This paper argues for the existence of a fourth positive generic value relation that can hold between two items beyond ‘better than’, ‘worse than’, and ‘equally good’: namely ‘on a par’.

This paper is the introduction to the volume. It gives an argumentative view of the philosophical landscape concerning incommensurability and incomparability. It argues that incomparability, not incommensurability, is the important phenomenon on which philosophers should be focusing and that the arguments for the existence of incomparability are so far not compelling.

It is commonly assumed that moral deliberation requires that the alternatives available in a choice situation are evaluatively comparable. This comparability assumption is threatened by claims of incomparability, which is often established by means of the small improvement argument (SIA). In this paper I argue that SIA does not establish incomparability in a stricter sense. The reason is that it fails to distinguish incomparability from a kind of evaluative indeterminacy which may arise due to the vagueness of the evaluative comparatives (...) ‘better than,’ ‘worse than,’ and ‘equally as good as.’. (shrink)

Many contemporary accounts of normative reasons for action accord a single strength value to normative reasons. This paper first uses some examples to argue against such views by showing that they seem to commit us to intransitive or counterintuitive claims about the rough equivalence of the strengths of certain reasons. The paper then explains and defends an alternate account according to which normative reasons for action have two separable dimensions of strength: requiring strength, and justifying strength. Such an account explains (...) our intuitions in the cases that make trouble for single-value views. The justifying/requiring account is compared with two other solutions that have been offered to justify and explain our intuitions about these sorts of cases. These other solutions appeal to the notions of incommensurability of reasons, and to second-order normative entities called `exclusionary permissions'. It is argued that the justifying/requiring distinction provides a superior solution. (shrink)

In order to account for non-traditional preference relations the present paper develops a new, richer framework for preference relations. This new framework provides characterizations of non-traditional preference relations, such as incommensurateness and instability, that may hold when neither preference nor indifference do. The new framework models relations with swaps, which are conceived of as transfers from one alternative state to another. The traditional framework analyses dyadic preference relations in terms of a hypothetical choice between the two compared alternatives. The swap (...) framework extends this approach by analysing dyadic preference relations in terms of two hypothetical choices: the choice between keeping the first of the compared alternatives or swapping it for the second; and the choice between keeping the second alternative or swapping it for the first. (shrink)

The small-improvement argument is usually considered the most powerful argument against comparability, viz the view that for any two alternatives an agent is rationally required either to prefer one of the alternatives to the other or to be indifferent between them. We argue that while there might be reasons to believe each of the premises in the small-improvement argument, there is a conflict between these reasons. As a result, the reasons do not provide support for believing the conjunction of the (...) premises. Without support for the conjunction of the premises, the small-improvement argument for incomparability fails. (shrink)

What difference does it make to matters of value, for a desire satisfactionist, if a given desire is *absent*, rather than *present*? I argue that it is most plausible to hold that the state in which a given desire is satisfied is, other things being equal, incommensurate with the state in which that desire does not exist at all. In addition to illustrating the internal attractions of the view, I demonstrate that this idea has attractive implications for population ethics. Finally, (...) I show that the view is not subject to John Broome's `greedy neutrality' worry. (shrink)

Some theories of practical reasons incorporate a lexical priority structure, according to which some practical reasons have infinitely greater weight than others. This includes absolute deontological theories and axiological theories that take some goods to be categorically superior to others. These theories face problems involving cases in which there is a non-extreme probability that a given reason applies. In view of such cases, lexical-priority theories are in danger of becoming irrelevant to decision-making, becoming absurdly demanding, or generating paradoxical cases in (...) which each of a pair of actions is permissible yet the pair is impermissible. (shrink)

By analyzing cases in which we must choose between options whose values are not precisely comparable, this paper presents the case for the existence of a previously unrecognized class of practical reasons – reasons that arise from how the value of an option compares to the values of the alternatives. Several implications of these comparative value-based reasons are discussed – including the context-dependence of one option’s being ‘rationally preferable to’ an alternative, and the fact that, even when the values of (...) an agent’s alternatives fail to be precisely comparable, practical reason will always be able to determine that the choice of at least one option is justified. (shrink)

I defend a form of moral relativism that draws upon value pluralism and incommensurability.

In this article I try to elucidate the concept of human dignity by taking a closer look at the features of a paradigmatic torture situation. After identifying the salient aspects of torture, I discuss various accounts for the moral wrongness of such acts and argue that what makes torture a violation of human dignity is the perverted moral relationship between torturer and victim. This idea is subsequently being substantiated and defended against important objections. In the final part of the chapter (...) I give a (qualified) defense of the methodology employed in the previous sections. (shrink)

On the Total Principle, the best state of affairs (ceteris paribus) is the one with the greatest net sum of welfare value. Parfit rejects this principle, because he believes that it implies the Repugnant Conclusion, the conclusion that for any large population of people, all with lives well worth living, there will be some much larger population whose existence would be better, even though its members all have lives that are only barely worth living. Recently, however, a number of philosophers (...) have suggested that the Total Principle does not imply the Repugnant Conclusion provided that a certain axiological view (namely, the ‘Discontinuity View’) is correct. Nevertheless, as I point out, there are three different versions of the Repugnant Conclusion, and it appears that the Total Principle will imply two of the three even if the Discontinuity View is correct. I then go on to argue that one of the two remaining versions turns out not to be repugnant after all. Second, I argue that the last remaining version is not, as it turns out, implied by the Total Principle. Thus, my arguments show that the Total Principle has no repugnant implications. (shrink)

This paper casts doubts on John Broome's view that vagueness in value comparisons crowds out incommensurability in value. It shows how vagueness can be imposed on a formal model of value relations that has room for different types of incommensurability. The model implements some basic insights of the 'fitting attitudes' analysis of value.

Abstract: The paper provides a general account of value relations. It takes its departure in a special type of value relation, parity, which according to Ruth Chang is a form of evaluative comparability that differs from the three standard forms of comparability: betterness, worseness and equal goodness. Recently, Joshua Gert has suggested that the notion of parity can be accounted for if value comparisons are interpreted as normative assessments of preference. While Gert's basic idea is attractive, the way he develops (...) it is flawed: His modeling of values by intervals of permissible preference strengths is inadequate. Instead, I provide an alternative modeling in terms of intersections of rationally permissible preference orderings. This yields a general taxonomy of all binary value relations. The paper concludes with some implications of this approach for rational choice. (shrink)

It is widely held that the possibility of value-incomparability between alternatives poses a serious threat to comparativism. Some comparativists have proposed to avoid this problem by supplementing the three traditional value relations with a fourth value relation, variously identified as "roughly equal" or "on a par", which is supposed to hold between alternatives that are incomparable by the three traditional value relations. However, in a recent article in this journal, Nien-he Hsieh has proposed that the comparisons thought to require rough (...) equality or parity could instead be understood in terms of the concept of "clumpiness". Against this suggestion, Martin Peterson has argued that the concept of clumpiness allows agents to be exploited in money-pumps, and thus that there is no way of linking clumpiness to rational choice. This would remove the central appeal of the concept. In this note, I show that Peterson’s argument fails to establish that the concept of clumpiness allows agents to be exploited in money-pumps. (shrink)

In his original semantics for counterfactuals, David Lewis presupposed that the ordering of worlds relevant to the evaluation of a counterfactual admitted no incomparability between worlds. He later came to abandon this assumption. But the approach to incomparability he endorsed makes counterintuitive predictions about a class of examples circumscribed in this paper. The same underlying problem is present in the theories of modals and conditionals developed by Bas van Fraassen, Frank Veltman, and Angelika Kratzer. I show how to reformulate all (...) these theories in terms of lower bounds on partial preorders, conceived of as maximal antichains, and I show that treating lower bounds as cutsets does strictly better at capturing our intuitions about the semantics of modals, counterfactuals, and deontic conditionals. (shrink)