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.

Ex-ante deontology is an attempt to combine deontological constraints on doing or intending harm with the idea that one should act in everyone’s interest if possible. I argue that ex-ante deontology has serious problems in cases where multiple decisions are to be made over time. I then argue that these problems force us to choose between commonsense deontological morality and a more consequentialist morality. I suggest that we should choose the latter.

I argue that no outcome is good, bad, or evaluatively neutral for anyone. My argument concerns non-comparative personal evaluative properties alone; it does not support (say) the conclusion that no outcome is better for anyone than any other outcome. First I argue that there is a sequence of outcomes with the following properties, and that the existence of such a sequence supports the conclusion that no outcome is good for anyone: (i) the first member of the sequence is good for (...) you if any outcome is good for you, (ii) any two adjacent members of the sequence are on a par for you, and (iii) the last member of the sequence is not good for you. I then defend similar arguments that no outcome is bad or evaluatively neutral for anyone. Thus, I conclude that no outcome is good, bad, or evaluatively neutral for anyone. (shrink)

Ignorance is said to be the most widely accepted explanation of what makes choices hard (Chang 2017). But despite its apparent popularity, the debate on hard choices has been dominated by tetrachotomist (e.g., “parity”) and vagueness views. In fact, there is no elaborate ignorance account of hard choices. This article closes this research gap. In so doing, it connects the debate on hard choices with that on transformative experiences (Paul 2014). More precisely, an option’s transformative character can prevent us from (...) epistemically accessing its expected value, promoting ignorance of how to rank the options. Methods of achieving an advance assessment of transformative experiences such as fine-graining, consulting testimony, and using higher-order facts can sometimes evade this epistemic blockade, but not always. Therefore, in cases where these methods fail, a choice can be hard because of our ignorance. The prominent hard choice between two careers could be such a case. (shrink)

This paper uses the idea of a proxy, which figures in discussions of bounded rationality, to construct an argument for a revisionary conclusion about ideal instrumental rationality. I consider how subjective responses can figure as proxies in heuristics and develop the following argument: (1) Proxies, even if relatively easy to recognize, can sometimes be messy, prompting incomplete or cyclic preferences. (2) From the point of view of ideal instrumental rationality, it is permissible for an agent to be concerned with a (...) proxy rather than with what it is a proxy for. And so, (3) although it is standardly assumed, as part of the prevailing conception of ideal instrumental rationality, that rational preferences are complete and acyclic, neither incomplete preferences nor cyclic preferences can be dismissed as invariably irrational from the point of view of ideal instrumental rationality. (shrink)

Abstract: This paper defends a constraint that any satisfactory decision theory must satisfy. I show how this constraint is violated by all of the decision theories that have been endorsed in the literature that are designed to deal with cases in which opinions or values are represented by a set of functions rather than a single one. Such a decision theory is necessary to account for the existence of what Ruth Chang has called “parity” (as well as for cases in (...) which agents have incomplete preferences or imprecise credences). The problem with the all of the decision theories that have been defended to account for parity is that they are committed to a claim I call unanimity: when all of the functions in the set agree that an agent ought to do A, then an agent ought to do A. A decision theory committed to unanimity violates the constraint I defend in this paper. Thus, if parity exists, a new approach to decision theory is necessary. (shrink)

The endeavour to locate value in moral progress faces various substantive as well as more formal challenges. This paper focuses on challenges of the latter kind. After some preliminaries, Section 3 introduces two general kinds of “evaluative moral progress-claims”, and outlines a possible novel analysis of a descriptive notion of moral progress. While Section 4 discusses certain logical features of betterness in light of recent work in value theory which are pertinent to the notion of moral progress, Sections 5 and (...) 6 outline the ambiguous character of “making moral progress”. (shrink)

The much-discussed ‘Argument from Small Improvement’ has been advanced both as a reason to reject (tripartite) Completeness, one of the standard axioms of decision theory, and to accept the possibility of rationally incomparable choices. But this form of argument cannot be an effective basis for either of these conclusions, unless one already has some prior, independent reason to prefer Transitivity to Completeness as a constraint on rational preferences (or rational values). In particular, I show how a reverse argument from small (...) improvement can be constructed, starting from the assumption of tripartite Completeness, to the conclusion that Transitivity fails. I conclude that this form of argument as it has been standardly presented in the literature is a kind of ‘red herring’. We can only make progress here by evaluating the reasons independent of either such argument to prefer one or other of Transitivity or Completeness. (shrink)

In Rabinowicz, I considered how value relations can best be analysed in terms of fitting pro-attitudes. In the formal model of that paper, fitting pro-attitudes are represented by the class of permissible preference orderings on a domain of items that are being compared. As it turns out, this approach opens up for a multiplicity of different types of value relationships, along with the standard relations of ‘better’, ‘worse’, ‘equally as good as’ and ‘incomparable in value’. Unfortunately, the approach is vulnerable (...) to a number of objections. I believe these objections can be avoided if one re-interprets the underlying notion of preference: instead of treating preference as a ‘dyadic’ attitude directed towards a pair of items, we can think of it as a difference of degree between ‘monadic’ attitudes of favouring. Each such monadic attitude has just one item as its object. Given this re-interpretation, permissible preferences can be modelled by the class of permissible assignments of degrees of favouring to items in the domain. From this construction, we can then recover the old modelling in terms of the class of permissible preference orderings, but the previous objections to that model no longer apply. (shrink)

Suppose you can save one group of people or a larger group of different people, but you cannot save both groups. Are you morally required, ceteris paribus, to save the larger group? Some say, “No.” Far more say, without qualification, “Yes.” But some say, “It depends on the sizes of the groups.” In this paper, I argue that an attractive moral principle that seems on its face to support the second answer in fact supports a version of the third. In (...) the process, I defend some revisionary claims about how the lives and deaths of different people compare evaluatively to one another. The most important of these for my purposes is the claim that the deaths of different people are on a par, other things being equal. (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 article seeks to contribute to the discussion on the nature of choice in virtue theory. If several different actions are available to the virtuous agent, they are also likely to vary in their degree of virtue, at least in some situations. Yet, it is widely agreed that once an action is recognised as virtuous there is no higher level of virtue. In this paper we discuss how the virtue theorist could accommodate both these seemingly conflicting ideas. We discuss this (...) issue from a modern Aristotelian perspective, as opposed to a purely exegetic one. We propose a way of resolving what seems to be a major clash between two central features of virtue ethics. Our proposal is based on the notion of parity, a concept which recently has received considerable attention in the literature on axiology. Briefly put, two alternatives are on a par (or are ‘roughly equal’) if they are comparable, although it is not the case that one is better than the other, nor that they are equally good. The advantages of applying the concept of parity to our problem are twofold. Firstly, it sheds new light on the account of choice in virtue theory. Secondly, some of the criticisms that have been mounted against the possibility of parity can be countered by considering the notion of choice from a virtue theory perspective. (shrink)

Hare proposes a view he calls prospectism for making choices in situations in which preferences have a common, but problematic structure. I show that prospectism permits the decision-maker to make a series of choices she knows in advance will lead to a sure loss. I also argue that a theory that permits the decision-maker to make choices she knows in advance will lead to a sure loss should be rejected.

This paper develops transfinite extensions of transitivity and acyclicity in the context of population ethics. They are used to argue that it is better to add good lives, worse to add bad lives, and equally good to add neutral lives, where a life's value is understood as personal value. These conclusions rule out a number of theories of population ethics, feed into an argument for the repugnant conclusion, and allow us to reduce different-number comparisons to same-number ones. Challenges to these (...) arguments are addressed, including the issue of comparing existence and non-existence in terms of personal value, the possibility of minimal quanta of time and life, and the meaningfulness of measuring closeness between outcomes with different population sizes. An asymmetry is uncovered between transfinite cycles of worseness and betterness, supporting a version of the weak procreative asymmetry. Transfinite transitivity principles are also favourably compared to the better-known principles of continuity. (shrink)

This article shows that introducing the positive comparative relation parity only helps one block so‐called “Spectrum Arguments” in order to avoid their unsavoury implications if one specifies parity in a specific way with respect to its persistence. The article illustrates how parity must both admit of persistency and be weakly non‐persistent for parity to block Spectrum Arguments, and identifies some consequences of that discovery for the general debate on Spectrum Arguments, value theory and comparability problems.

Many philosophers have argued that agents must be irrational to lose out in a or . A number of different conclusions have been drawn from this claim. The has been one of the main arguments offered for the axioms of expected utility theory; it has been used to show that options cannot be incomparable or on a par; and it has been used to show that our past choices have normative significance for our subsequent choices. In this article, I argue (...) that the fact that someone loses out in a value pump provides no reason to believe that they are irrational. The VP is impotent. (shrink)

The standard argument for the claim that rational preferences are transitive is the pragmatic money-pump argument. However, a money-pump only exploits agents with cyclic strict preferences. In order to pump agents who violate transitivity but without a cycle of strict preferences, one needs to somehow induce such a cycle. Methods for inducing cycles of strict preferences from non-cyclic violations of transitivity have been proposed in the literature, based either on offering the agent small monetary transaction premiums or on multi-dimensional preferences. (...) This paper argues that previous proposals have been flawed and presents a new approach based on the dominance principle. (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)

A review of some major topics of debate in normative decision theory from circa 2007 to 2019. Topics discussed include the ongoing debate between causal and evidential decision theory, decision instability, risk-weighted expected utility theory, decision-making with incomplete preferences, and decision-making with imprecise credences.

We defend three controversial claims about preference, credence, and choice. First, all agents (not just rational ones) have complete preferences. Second, all agents (again, not just rational ones) have real-valued credences in every proposition in which they are confident to any degree. Third, there is almost always some unique thing we ought to do, want, or believe.

Elga : 1–10, 2010) has argued that, even when no particular subjective probability is required by one’s evidence, perfectly rational people will have sharp subjective probabilities. Otherwise, they would be rationally permitted to knowingly turn down some sure gains. I argue that it is likewise true that, even when we do not possess enough practical reasons for a sharp evaluation, perfectly rational people will have sharp subjective values. Those who would be most inclined to reject this argument are those who (...) claim that we are rationally required by either our beliefs that objective values are unsharp or by our own ‘real’ values to have unsharp subjective values. Regarding the former claim, I show that we need not believe that all objective values are sharp to rationally have unsharp subjective values. Regarding the latter claim, I conclude that sharpened subjective values must be ‘real’ because otherwise perfect rationality would be impossible in principle. (shrink)

We seem to live in a disunified world where individuals usually prioritize their interests over those of groups. Introspectively, a phenomenon as such has its conceptual root, which is at least partly the platitude that individual persons are ontologically prior to social groups. What if groups are ontologically prior to individuals? My inquiry primarily concerns a group-coming-first metaphysical picture, that groups are ontologically prior to individuals. To better characterize such a relation, I advance a proposal called Group Grounding Middleism, whereupon (...) I identify and individuate groups, and then I suggest a new conception about individual existence. In passing, deploying techniques of Group Grounding Middleism, I also develop an account of group action and a theory of group responsibility, which arguably proves advantageous in practice. I eventually conclude with a prospect of our future group-talks. (shrink)

This thesis consists of an introduction and five essays on decision theory.