Perfect being theism is the view that the perfect being exists and the property being-perfect is the property being-God. According to the strong analysis of perfection, a being is perfect just in case it exemplifies all perfections. On the other hand, the weak analysis of perfection claims that a being is perfect just in case it exemplifies the best possible combination of compatible perfections. Strong perfect being theism accepts the former analysis while weak perfect being theism accepts the latter. In (...) this paper, I argue that there are good reasons to reject both versions of perfect being theism. On the one hand, strong perfect being theism is false if there are incompatible perfections; I argue that there are. On the other hand, if either no comparison can be made between sets of perfections, or they are equally good, then there is no best possible set of perfections. I argue for the antecedent of this conditional statement, concluding that weak perfect being theism is false. In the absence of other analyses of perfection, I conclude that we have reason to reject perfect being theism. (shrink)

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 (...) conclude by defending Dimensionalism, the hypothesis that overall value relations are determined solely by how things compare along value dimensions. These are first steps towards a more systematic value pluralism. (shrink)

Recent developments in theories for responsible innovation have focused on the importance of actively accounting for values in our technological designs. Leading among these theories is that of Value Sensitive Design which attempts to guide the design process on the basis of evaluative analysis. However, values often come into conflict and VSD has been criticized for not providing a proper method to resolve such inevitable conflicts. This paper examines three such methods and argues that although each has its merits, they (...) all fail to account for a common source of value conflicts known as value incommensurability. Drawing on literature from the field of axiology, this paper argues that by incorporating the evaluative relation of ‘parity’ each of these three methods, and the VSD framework in general, will be able to properly understand the relation which holds between conflicting design options stemming from the incommensurable of values and be able to guide designers in making rational decision in the face of such conflicts. (shrink)

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.

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 (...) of inference that seem manifestly valid, that the purported failures of Comparability would have absurd consequences, and that the influential arguments against Comparability are less compelling than they may have initially seemed. (shrink)

This thesis explores whether the three standard value relations, “better than”, “worse than” and “equally as good”, exhaust the possibilities in which things can relate with respect to their value. Or more precisely, whether there are examples in which one of these relations is not instantiated. There are cases in which it is not obvious that one of these relations does obtain; these are referred to as “hard cases of comparison”. These hard cases of comparison become interesting, since if it (...) not the case that the standard three value relations obtains in these cases then the three standard relations do not exhaust the possibility of instantiated value relations. It is argued that for some of the hard cases of comparison, the standard relations determinately obtain. For some it is indeterminate, due to vagueness, which of the three relations obtains, but it is determinate that one of them obtains. Thereafter it is argued that the influential Collapsing Argument fails in ruling out other accounts of the hard cases of comparison. Since one cannot depend on the Collapsing Argument in order to conclude that all items are related by the standard three relations, the investigation continues. It is argued that none of the hard cases of comparison are cases of incomparability. Furthermore, none of them are cases of a fourth basic positive value relation such as “parity”. Consequently, for all the hard cases of comparison one of the standard value relations holds, although sometimes we do not know which one and sometimes it is indeterminate which one holds. This means that there is no reason to assume that one of the standard three value relations does not hold between items we are comparing. This is followed by a brief discussion about the normative consequences of this result. The thesis ends with four different appendices in which related topics are discussed. (shrink)

What makes a choice hard? I discuss and criticize three common answers and then make a proposal of my own. Paradigmatic hard choices are not hard because of our ignorance, the incommensurability of values, or the incomparability of the alternatives. They are hard because the alternatives are on a par; they are comparable, but one is not better than the other, and yet nor are they equally good. So understood, hard choices open up a new way of thinking about what (...) it is to be a rational agent. (shrink)

This article explores the main similarities and differences between Derek Parfit’s notion of imprecise comparability and a related notion I have proposed of parity. I argue that the main difference between imprecise comparability and parity can be understood by reference to ‘the standard view’. The standard view claims that 1) differences between cardinally ranked items can always be measured by a scale of units of the relevant value, and 2) all rankings proceed in terms of the trichotomy of ‘better than’, (...) ‘worse than’, and ‘equally good’. Imprecise comparability, which can be understood in terms of the more familiar notions of cardinality and incommensurability, rejects only the first claim while parity rejects both claims of the standard view. -/- I then argue that insofar as those attracted to imprecise comparability assume that all rankings are trichotomous, as Parfit appears to, the view should be rejected. This is because imprecise equality is not a form of equality but is a sui generis ‘fourth’ basic way in which items can be ranked. We should, I argue, understand imprecise equality as parity, and imprecise comparability as entailing ‘tetrachotomy’ – that if two items are comparable, one must better than, worse than, equal to, or on a par with the other. Thus those attracted to the idea that cardinality can be imprecise should abandon trichotomy and accept parity and tetrachotomy instead. -/- Finally, I illustrate the difference between Parfit’s trichotomous notion of imprecise comparability and parity by examining how each notion might be employed in different solutions to the problem posed by the Repugnant Conclusion in population ethics. I suggest that parity provides the arguably more ecumenical solution to the problem. (shrink)

This introductory article describes the phenomena of incommensurability and incomparability, how they are related, and why they are important. Since incomparability is the more significant phenomenon, the paper takes that as its focus. It gives a detailed account of what incomparability is, investigates the relation between the incomparability of values and the incomparability of alternatives for choice, distinguishes incomparability from the related phenomena of parity, indeterminacy, and noncomparability, and, finally, defends a view about practical justification that vindicates the importance of (...) incomparability — assuming it exists — for practical reason. (shrink)

This paper proposes a way to understand transformative choices, choices that change ‘who you are.’ First, it distinguishes two broad models of transformative choice: 1) ‘event-based’ transformative choices in which some event—perhaps an experience—downstream from a choice transforms you, and 2) ‘choice-based’ transformative choices in which the choice itself—and not something downstream from the choice—transforms you. Transformative choices are of interest primarily because they purport to pose a challenge to standard approaches to rational choice. An examination of the event-based transformative (...) choices of L. A. Paul and Edna Ullman-Margalit, however, suggests that event-based transformative choices don’t raise any difficulties for standard approaches to rational choice. An account of choice-based transformative choices—and what it is to be transformed—is then proposed. Transformative choices so understood not only capture paradigmatic cases of transformative choice but also point the way to a different way of thinking about rational choice and agency. (shrink)

Comment pouvons-nous analyser des relations de valeur non standards, comme la parité axiologique, en termes d’attitudes appropriées? Wlodek Rabinowicz suggère que deux choses sont à parité si et seulement si il est à la fois permissible de préférer l’une à l’autre et permissible d’avoir la préférence contraire. Dans un article récent, Johan Gustafsson soutient toutefois que l’analyse de Rabinowicz viole un principe de symétrie entre valeurs et préférences, selon lequel il existe pour toute relation de valeur une relation de préférence (...) correspondante (et vice-versa). À la lumière de ce principe, Gustafsson propose une analyse alternative, selon laquelle deux choses sont à parité si et seulement si il est requis d’entretenir ces choses en parité préférentielle. Dans cet article, j’examine en détail les arguments avancés par Gustafsson contre l’analyse de Rabinowicz et je montre qu’aucun d’eux n’est convaincant. (shrink)

The incomparability of alternatives is thought to pose a problem for justified choice, particularly for proponents of comparativism better than,worse than,equally good,roughly equalon a par. namely, rejection of the transitivity of the relation In this paper, I argue that proponents of comparativism need not incur this cost. I defend the possibility of justified choice between incomparable alternatives on grounds that comparativists can accept. The possibility of incomparability has been met with resistance, in part because of the intuitive appeal of comparativism. (...) By defending the possibility of justified choice between incomparable alternatives on grounds that comparativists can accept, this paper supports further inquiry into the subject of incomparability. (shrink)

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)

On parity views of mere addition if someone is added to the world at a range of well-being levels – or ‘neutral range’ – leaving existing people unaffected, addition is on a par with the initial situation. Two distinct parity views – ‘rough equality’ and fittingattitudes views – defend the ‘intuition of neutrality’. The first can be interpreted or adjusted so that it can rebut John Broome’s objection that the neutral range is wide. The two views respond in distinct ways (...) to two of Broome’s other objections. Both views can, nonetheless, be plausibly defended against these objections. (shrink)

This essay discusses implications of incommensurability of values for justified decision-making, ethics and justice. Under particular conditions incommensurability of values causes what might be called ‘incomplete comparability’ of options. Some leading theorists interpret this in terms of ‘imprecise equality’ and ‘imprecise comparability.’ This interpretation is mistaken and conceals the implications of incommensurability for practical and ethical reasoning. The aim of this essay is to show that, in many cases, incommensurability prevents the assignment of determinate weights to competing values. This may (...) have problematic consequences for a complete and impartial justification of decisions concerning conflicting values to the extent that they depend on the need of weighing them. (shrink)

Some theorists believe that there is a plurality of values, and that in many circumstances these values are incommensurable, or at least incomparable. Others believe that all values are reducible to a single super-value, or that even if there is a plurality of irreducible values these values are commensurable. But I will argue that both sides have got it wrong. Values are neither commensurable nor incommensurable, at least not in the way most people think. We are free to believe in (...) incommensurability or not, depending on what particular conception of morality we want to embrace. Incommensurability is accordingly not a theory about value. It is a presupposition that provides a necessary background condition for a certain kind of value to exist. It is therefore not the kind of view that can be morally true or false. As a presupposition, it can only be accepted or rejected on grounds that do not presuppose that morality already exists. Incommensurability is, like the rejection of hard determinism, one of the presuppositions on which morality as we know it happens to be based. (shrink)

According to a standard picture, for any two comparable objects and a basis for comparison, either one is greater than the other or they are equal with respect to the basis. This picture has been called the Trichotomy Thesis, and although it is intuitive and plausible, it has been called into question by such philosophers as Derek Parfit, James Griffin, Joseph Raz, and Ruth Chang. Chang’s discussion is particularly rich, for she proposes and provides a detailed account of a possible (...) fourth relation that, she argues, provides a satisfying explanation of hard cases of comparison. In this paper, I will examine a version of the main argument against the Trichotomy Thesis and attempt to show that it is unsound. (shrink)

This article presents an approach to how to make reasonable social choices when independent criteria (e.g., prioritarianism, religious freedom) fail to fully determine what to do. The article outlines different explanations of why independent criteria sometimes fail to fully determine what to do and illustrates how they can still be used to eliminate ineligible alternatives, but it is argued that the independent criteria cannot ground a reasonable social choice in these situations. To complement independent criteria when they fail to fully (...) determine what to do, it is suggested that society must engage in public deliberation by way of generating new reasons that can determine how to rank the alternatives. It is suggested that the approach to social choice presented here reveals a way of accepting the relevance of independent criteria for social choice without letting go of the idea that the attitudes of affected parties matter. (shrink)

This article discusses the phenomenon of normative resilience, with a focus on evaluative resilience. An object can become more or less valuable. In addition to this change in an object's value, the object's value can become more or less resilient. If it is less resilient, it cannot withstand as much evaluative change without its degree of value changing, as compared to an object with more resilient value. The article consists of three parts. First, examples of resilience are presented to give (...) the reader an intuitive understanding of the phenomenon, Second, the Fitting Attitudes Analysis of value is invoked to provide a formal account of evaluative resilience. Third, the theoretical and practical advantages of acknowledging the existence of evaluative resilience are brought to light. (shrink)

Some philosophers believe that two objects of value can be ‘roughly equal’, or ‘on a par’, or belong to the same ‘clump’ of value in a sense that is fundamentally different from that in which some objects are ‘better than’, ‘worse than’, or ‘equally as good as’ others. This article shows that if two objects are on a par, or belong to the same clump, then an agent accepting a few plausible premises can be exploited in a money-pump. The central (...) premise of the argument is that value is choice-guiding. If one object is more valuable than another, then it is not permitted to choose the less valuable object; and if two objects are equally valuable it is permitted to choose either of them; and if two objects are on a par or belong to the same clump it is also permitted to choose either of them. (shrink)

In hard cases of comparison, people are faced with two options neither of which is conceived of as better, worse, or equally good compared to the other. Most philosophers claim that hard cases can indeed be distinguished from cases in which two options are equally good, and can be characterized by a failure of transitive reasoning. It is a much more controversial matter and at the heart of an ongoing debate, whether the options in hard cases of comparison should be (...) interpreted as incomparable, on par, or roughly equal. So far, however, none of these claims and interpretations have been tested. This paper presents the first empirical investigation on hard cases, intransitive reasoning, and incomparability. Our results reveal that hard cases present real-world dilemmas in which a significant majority of people violate transitivity. After suggesting a way of operationalizing the notion of incomparability, we provide empirical evidence that the options in some hard cases are not considered to be incomparable. Theories of rough equality or parity seem to provide better interpretations of our results. (shrink)

The incomparability of alternatives is thought to pose a problem for justified choice, particularly for proponents ofcomparativism– the view that comparative facts about alternatives determine what one rationally ought to choose. As a solution, it has been argued that alternatives judged incomparable by one of the three standard comparative relations, “better than,” “worse than,” and “equally good,” are comparable by some fourth relation, such as “roughly equal” or “on a par.” This solution, however, comes at what many would regard as (...) too high a cost – namely, rejection of the transitivity of the relation “at least as good as.” In this paper, I argue that proponents of comparativism need not incur this cost. I defend the possibility of justified choice between incomparable alternatives on grounds that comparativists can accept. The possibility of incomparability has been met with resistance, in part because of the intuitive appeal of comparativism. By defending the possibility of justified choice between incomparable alternatives on grounds that comparativists can accept, this paper supports further inquiry into the subject of incomparability. (shrink)

There exists an ongoing debate about the nature of incomparability. In this paper, I argue that incomparability is most usefully seen as a practical, rather than a metaphysical, issue. When confronted with an important choice between two options, an agent often will be at a loss as to how to decide between them. A common response to this problem is to assert that the options must therefore be equal, and that it is perfectly rational to be indifferent and decide between (...) them in some arbitrary fashion. Contrary to this common view, this paper shows that equality should be seen as the result of indifference and not the cause of it. I will show that the judgment between whether options are either equal or incomparable is actually a decision, made by an agent, that can in turn be judged as more or less rational. (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)

The topic of my dissertation is the hedonic calculus. The hedonic calculus presupposes that pleasure and pain come in amounts amenable to addition, subtraction, and aggregation operations. These operations are ones that utilitarianism and related normative ethical theories treat as central to moral phenomena. The first chapter is an introduction to the problem--in it, I explain what the hedonic calculus is, why it is important, and why it has recently come under disfavor. The second chapter explores the nature of hedonic (...) phenomena, arguing that pleasure and pain are propositional attitudes; they are not feelings or feeling-tones, nor are they fundamentally a matter of desire or motivation. The third and fourth chapters concern the nature of quantitative phenomena. I argue that quantities are determinate properties whose determinables enter into greater-than, less-than, or equal-to relationships that are homomorphic with the structure of the real number line. These structures include the presence of a unique order; the possibility of equal intervals; and a natural, non-arbitrary zero point. The fifth chapter is a defense of the thesis that there are exactly three relations of quantitative comparison from a recent attack. I argue that apparent instances of being on a par are in fact instances of vagueness or complexity and do not threaten the truth of the trichotomy thesis. The sixth chapter addresses arguments that pleasure and pain fail to meet these formal conditions. One argument stems from the observation that pleasures and pains are essentially transient and ephemeral. Another argument proceeds from the observation that interpersonal comparisons of pleasure and pain appear to be impossible. A third, closely related to the first two, argues that pleasure and pain are too heterogeneous to be quantitative. A final argument holds that, for a variety of reasons, the various mathematical operations constitutive of quantitativeness are not applicable to pleasure or pain. I argue that each argument suffers from at least one fatal flaw. Some arguments crucially involve a failure to distinguish between the existence of a quantity and our ability to perform reliable measurements of it. Others involve false analogies between hedonic and other sorts of phenomena. The seventh chapter addresses arguments in favor of the legitimacy of the calculus. Many philosophers, such as Bentham, Mill, Ross, and Plato, seem to assume, without any serious argument, that pleasure and pain are quantitative. Others attempt to argue that, for example, two people enjoying something must involve more pleasure than if just one person were enjoying it. A third type of argument rests on the claim that it is sometimes rational to be indifferent between a longer lasting, less intense episode of pleasure and a more intense but shorter episode. This suggests that since duration is clearly quantitative, intensity must be, too, because if it were not, there could be no equivalence between the brief but intense and the lengthy but mellow episodes. Several of these arguments are unsound or question-begging. Finally, I present an argument in favor of the hedonic calculus that I endorse, along with possible objections and my replies. I begin by acknowledging the central point of the "hedonic trade-offs" argument, and then proceed, via reductio, by pointing out the various absurd or unpalatable consequences of the denial of the thesis that pleasure and pain are quantitative. (shrink)

According to one prominent view of rationality, for the choice of alternative to be justified, it must be at least as good as other alternatives. Michael Jensen has recently invoked this view to argue that managers should act exclusively to maximize the long-run market value of economic enterprises. According to Jensen, alternative accounts of managerial responsibility, such as stakeholder theory, are to be rejected because they lack a single measure to compare alternatives as better or worse. Against Jensen’s account, this (...) paper argues that choosing the alternative that is at least as good as other alternatives need not preclude managers from respecting considerations in addition to long-run market value. The paper argues that such considerations may be incorporated into managerial decision-making by introducing constraints and priorities into the process of maximizing long-run market value and by allowing for “clumpy” values. (shrink)

This article analyzes approaches to nondeterminacy that suggest that one can make justified choices when primary criteria fail to fully determine a best alternative by introducing a secondary criterion. It is shown that these approaches risk violating Basic Contraction Consistency. Some ways of adjusting two-step models in order to protect against this are addressed, and it is suggested that proponents of two-step models should adopt formal conditions which qualify what counts as a permissible secondary criterion that resemble supervaluationist conditions that (...) qualify what counts as admissible precisifications of vague terms. (shrink)