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)

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.

Presenting the first comprehensive, in-depth study of hyperintensionality, this book equips readers with the basic tools needed to appreciate some of current and future debates in the philosophy of language, semantics, and metaphysics. After introducing and explaining the major approaches to hyperintensionality found in the literature, the book tackles its systematic connections to normativity and offers some contributions to the current debates. The book offers undergraduate and graduate students an essential introduction to the topic, while also helping professionals in related (...) fields get up to speed on open research-level problems. (shrink)

Why are hard decisions hard? According to the incomparabilists, hard choices are hard because the options cannot be compared. Proponents of parity hold that hard choices are hard because the options can be compared but only in terms of a fourth value relation—parity—in addition to the three standard relations: better, worse, and equally good. Others claim that hard choices are hard because it is vague (or indeterminate) how the options relate in terms of the three standard relations. Lastly, there is (...) the epistemicist. For the epistemicist, hard choices are hard because one is irresolvably ignorant about how the options compare. In the debate about hard choices, epistemicism is often mentioned but rarely defended. The present paper is a contribution to closing this gap. (shrink)

Sometimes, when comparing a pair of items, it appears that neither is better than the other, nor that they are equally good, relative to a certain value that they bear. Cases of this kind have come to be referred to as superhard comparisons. What grounds superhard comparisons? On the dominant views, held by Joseph Raz and Ruth Chang, they are grounded, at least partially, in the failure of the three classic value relations—‘better than’, ‘worse than’, and ‘equally good’. On an (...) alternative view, which might be called the vagueness view, first developed by John Broome, they are grounded in vagueness about which of the classic value relations holds between the items. In this paper, I pay special attention to superhard comparisons in the context of choice and develop a novel argument against the dominant views on the basis of an account of decision-making under vagueness in ‘better than’. The upshot is that a new vagueness view emerges. (shrink)

The vagueness view holds that when evaluative comparisons are hard, there is indeterminacy about which comparative relation holds. It is sceptical about whether there are any incommensurate items (in some domain). The sceptical element of John Broome’s version of this view rests on a controversial principle. Robert Sugden advances a similar view which does not depend on this principle. Sugden’s argument fails as a vagueness view because it assumes rather than shows that there are no incommensurate items (in some domain). (...) Nonetheless, I argue that an interpretation of his argument constitutes a defensible vagueness view which is supported by intuition about examples. On this interpretation Sugden’s view can be mapped onto Broome’s application of a supervaluationist view of vagueness. It is also (on this reading) a close relative of James Griffin’s ‘rough equality’ view when this is interpreted in terms of vagueness. On an alternative interpretation Sugden’s view is not sceptical about incommensurateness. On this interpretation he does not defend a vagueness view and is ‘sceptical’ about the contribution of the philosophical literature to our understanding of rational choice. (shrink)

Items are incommensurate if it is false that one is better than the other or that they are exactly as or equally good. John Broome claims that there are no incommensurate items (in some domain), but that there is vagueness. Wlodek Rabinowicz casts doubt on this claim because he rejects a principle which Broome adopts in advancing it. I argue that Robert Sugden's discussion can be interpreted as advancing a version of this claim which does not depend on the relevant (...) principle and which can respond to certain objections. (shrink)

The aim of this paper is to provide a detailed characterisation of some ways in which our preferences reflect our reasons. I will argue that practical reasons can be characterised along two dimensions that influence our preferences: their balance and their weight. This is analogous to a similar characterisation of the way in which probabilities reflect the balance and weight of evidence in epistemology. In this paper, I will illustrate the distinction between the balance and weight of reasons, and show (...) how this is crucial for an adequate account of preference and choice. The upshot is a more complete picture of a particular kind of decision, labelled by Isaac Levi and, more recently, Ruth Chang as ‘hard choices’. These are choices in which one option is better than another in some ways, the other is better than the first in some ways, but neither seems better overall. The distinction between the balance and weight of reasons presents a new way of understanding how hard choices vary by degree and what it is that makes them so hard. (shrink)

How should one understand comparisons in which neither of two alternatives is at least as good as the other? Much recent literature on comparability problems focuses on what the appropriate explanation of the phenomenon is. Is it due to vagueness or the possibility of non-conventional comparative relations such as parity? This paper argues that the discussions on how to best explain comparability problems has reached an impasse at which it is hard to make any progress. To advance the discussion we (...) suggest a new classification of comparability problems that focuses on the problems they cause for practical reasoning. (shrink)

In this article, I argue that the small-improvement argument fails since some of the comparisons involved in the argument might be indeterminate. I defend this view from two objections by Ruth Chang, namely the argument from phenomenology and the argument from perplexity. There are some other objections to the small-improvement argument that also hinge on claims about indeterminacy. John Broome argues that alleged cases of value incomparability are merely examples of indeterminacy in the betterness relation. The main premise of his (...) argument is the much-discussed collapsing principle. I offer a new counterexample to this principle and argue that Broome's defence of the principle is not cogent. On the other hand, Nicolas Espinoza argues that the small-improvement argument fails as a result of the mere possibility of evaluative indeterminacy. I argue that his objection is unsuccessful. (shrink)

Abstract: The topic for this paper is the phenomenon of apparent value incommensurability—two goods are apparently incommensurable when it appears that neither is better than the other nor are they equally good. I shall consider three theories of this phenomenon. Indeterminists like Broome (1997) hold that the phenomenon is due to vagueness: when two goods appear to be incommensurable, this owes to the fact that “better than” is vague. Incommensurabilists like Chang (2002) hold that some goods appear to be incommensurable (...) because they genuinely are, because it is determinately the case than neither is better than the other, nor are they equally good. I defend epistemicism, the view that the appearance of value incommensurability is due only to our ignorance of how goods compare. In reality, all goods are commensurable. I offer two arguments for epistemicism and against other views. First, epistemicists are committed to less unexplained axiological structure than are non-epistemicists, who must explain the extra structure that they posit. Second, only epistemicists have an adequate explanation of some facts about the scope of apparent incommensurability. Finally, I identify a class of putative counterexamples to the epistemicist’s analysis, and argue that these counterexamples do not succeed. If my arguments are sound, then, we have very good reason to think that for any two things that are good, either one is (determinately) better than the other, or they are (determinately) equally good. (shrink)

After putting forward a formal account of value disagreement via imprecise measures, I develop a logic of value attribution and of agreement based on truthmaker semantics.

Two options are ‘incommensurate’ when neither is better than the other, but they are not equally good. Typically, we will say that one option is better in some ways, and the other in others, but neither is better ‘all things considered’. It is tempting to think that incommensurability is vagueness—that it is (perhaps) indeterminate which is better—but this ‘vagueness view’ of incommensurability has not proven popular. I set out the vagueness view and its implications in more detail, and argue that (...) it can explain most of the puzzling features of incommensurability. This argument proceeds without appeal to John Broome’s ‘collapsing principle’. (shrink)

John Broome has argued that value incommensurability is vagueness, by appeal to a controversial about comparative indeterminacy. I offer a new counterexample to the collapsing principle. That principle allows us to derive an outright contradiction from the claim that some object is a borderline case of some predicate. But if there are no borderline cases, then the principle is empty. The collapsing principle is either false or empty.

Moral indeterminacy can be problematic: prospectively it can give rise to deliberative anguish, and retrospectively, it can leave us in a limbo as to what attitudes it is appropriate to form with respect to past actions with indeterminate moral status. These problems give us reason to resolve ethical indeterminacy. One mechanism for doing so involves the use of our normative powers to place obligations on ourselves and to waive our claims against others. This mechanism could operate through an explicit agreement, (...) but could also operate through implicit endorsement of a social convention. However, there are important limits on when the mechanism can eliminate moral indeterminacy. (shrink)

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)

John Broome has argued that incomparability and vagueness cannot coexist in a given betterness order. His argument essentially hinges on an assumption he calls the ‘collapsing principle’. In an earlier article I criticized this principle, but Broome has recently expressed doubts about the cogency of my criticism. Moreover, Cristian Constantinescu has defended Broome’s view from my objection. In this paper, I present further arguments against the collapsing principle, and try to show that Constantinescu’s defence of Broome’s position fails.

According to a standard account of incomparability, two value bearers are incomparable if it is false that there holds a positive value relation between them. Due to the vagueness of the comparative predicates it may also be indeterminate as to which relation that holds - for each relation it is neither true nor false that it holds. John Broome has argued that indeterminacy cannot coexist with incomparability and since there seems to exist indeterminacy there cannot exist incomparability. At the core (...) of his argument lies the collapsing principle. There are several arguments against this principle; Erik Carlson has advanced most of these. In this paper two strategies in dealing with these arguments are discussed. One strategy is to deny the existence of a certain kind of properties; another strategy that has been advanced by Christian Constantinescu is to restrict the collapsing principle. In the paper it is argued that the first of these strategies is the most promising strategy. A novel argument in favour of this strategy is presented and several objections to the strategy are rebutted. Finally it is concluded that, even though this strategy deals with most objections, without a better argument in favour of the principle the debate seems to run into a stalemate. (shrink)

In 1997 John Broome presented the Collapsing Argument that was meant to establish that non-conventional comparative relations cannot exist. Broome's argument has faced a lot of scrutiny and a certain type of counterexample has been used to undermine it. Most of the counterexamples focus on the Collapsing Principle which plays a central role in Broome's argument. In this article we will take a closer look at the most common type of counterexample and propose how to adjust the Collapsing Principle in (...) order to avoid objections based on these counterexamples. We argue that a weaker version of the Collapsing Principle is not susceptible to the classical counterexamples. Furthermore, after an explorative discussion about the intuitions behind the original principle, we show that this weaker formulation is at least as intuitive as the principle suggested by Broome. (shrink)

Intrinsic value has traditionally been thought to lie at the heart of ethics. Philosophers use a number of terms to refer to such value. The intrinsic value of something is said to be the value that that thing has “in itself,” or “for its own sake,” or “as such,” or “in its own right.” Extrinsic value is value that is not intrinsic.

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)