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.

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.

This encyclopedia entry urges what it takes to be correctives to common (mis)understandings concerning the phenomenon of incommensurability and incomparability and briefly outlines some of their philosophical upshots.

Is the overall value of a world just the sum of values contributed by each value-bearing entity in that world? Additively separable axiologies (like total utilitarianism, prioritarianism, and critical level views) say 'yes', but non-additive axiologies (like average utilitarianism, rank-discounted utilitarianism, and variable value views) say 'no'. This distinction is practically important: additive axiologies support 'arguments from astronomical scale' which suggest (among other things) that it is overwhelmingly important for humanity to avoid premature extinction and ensure the existence of a (...) large future population, while non-additive axiologies need not. We show, however, that when there is a large enough 'background population' unaffected by our choices, a wide range of non-additive axiologies converge in their implications with some additive axiology -- for instance, average utilitarianism converges to critical-level utilitarianism and various egalitarian theories converge to prioritiarianism. We further argue that real-world background populations may be large enough to make these limit results practically significant. This means that arguments from astronomical scale, and other arguments in practical ethics that seem to presuppose additive separability, may be truth-preserving in practice whether or not we accept additive separability as a basic axiological principle. (shrink)

How ought you to evaluate your options if you're uncertain about what's fundamentally valuable? A prominent response is Expected Value Maximisation (EVM)—the view that under axiological uncertainty, an option is better than another if and only if it has the greater expected value across axiologies. But the expected value of an option depends on quantitative probability and value facts, and in particular on value comparisons across axiologies. We need to explain what it is for such facts to hold. Also, EVM (...) is by no means self-evident. We need an argument to defend that it’s true. This book introduces an axiomatic approach to answer these worries. It provides an explication of what EVM means by use of representation theorems: intertheoretic comparisons can be understood in terms of facts about which options are better than which, and mutatis mutandis for intratheoretic comparisons and axiological probabilities. And it provides a systematic argument to the effect that EVM is true: the theory can be vindicated through simple axioms. The result is a formally cogent and philosophically compelling extension of standard decision theory, and original take on the problem of axiological or normative uncertainty. (shrink)

How should we make choices where the values we subscribe to give conflicting recommendations? I will be defending a reduction of decision making under conflict to decision making under indeterminacy, in the spirit of Broome. To defend this, I set out and endorse the basic features of decision making under conflict that Ruth Chang identifies. I show that we find exactly those features in cases of decision making under indeterminacy not involving conflicting values. Further, my theory of decision making under (...) indeterminacy predicts and explains these features. Particular attention will be paid to the aspect that Chang emphasizes as the decisive problem for the Broomean reduction: the resolutional residue, or angst, that decision making under conflict evinces. (shrink)

Suppose that it is rational to choose or intend a course of action if and only if the course of action maximizes some sort of expectation of some sort of value. What sort of value should this definition appeal to? According to an influential neo-Humean view, the answer is “Utility”, where utility is defined as a measure of subjective preference. According to a rival neo-Aristotelian view, the answer is “Choiceworthiness”, where choiceworthiness is an irreducibly normative notion of a course of (...) action that is good in a certain way. The neo-Humean view requires preferences to be measurable by means of a utility function. Various interpretations of what exactly a “preference” is are explored, to see if there is any interpretation that supports the claim that a rational agent’s “preferences” must satisfy the “axioms” that are necessary for them to be measurable in this way. It is argued that the only interpretation that supports the idea that the rational agent’s preferences must meet these axioms interprets “preferences” as a kind of value-judgment. But this turns out to be version of the neo-Aristotelian view, rather than the neo-Humean view. Rational intentions maximize expected choiceworthiness, not expected utility. (shrink)

This article proposes a new theory of rational decision, distinct from both causal decision theory (CDT) and evidential decision theory (EDT). First, some intuitive counterexamples to CDT and EDT are presented. Then the motivation for the new theory is given: the correct theory of rational decision will resemble CDT in that it will not be sensitive to any comparisons of absolute levels of value across different states of nature, but only to comparisons of the differences in value between the available (...) options within states of nature; however, the correct theory will also resemble EDT in that it will rely on conditional probabilities (not unconditional probabilities). The new theory gives a prominent role to the notion of a “benchmark” for each state of nature, by comparison with which the value of the available options in that state of nature are measured, and so it has been called the Benchmark Theory (BT). It is argued that BT gives the right verdict on the cases that seem to be counterexamples to CDT and EDT. Finally, some objections to BT are considered and answered. (shrink)

ABSTRACT I consider paradoxical spectrum arguments involving transitive relations like ‘better than’. I argue that, despite being formally different from sorites arguments, at least some spectrum arguments arise from vagueness, and that vagueness might often be the most natural diagnosis.

Even if I think it very likely that some morally good act is supererogatory rather than obligatory, I may nonetheless be rationally required to perform that act. This claim follows from an apparently straightforward dominance argument, which parallels Jacob Ross's argument for 'rejecting' moral nihilism. These arguments face analogous pairs of objections that illustrate general challenges for dominance reasoning under normative uncertainty, but (I argue) these objections can be largely overcome. This has practical consequences for the ethics of philanthropy -- (...) in particular, it means that donors are often rationally required to maximize the positive impact of their donations. (shrink)

In ‘Normative Uncertainty as a Voting Problem’, William MacAskill argues that positive credence in ordinal-structured or intertheoretically incomparable normative theories does not prevent an agent from rationally accounting for her normative uncertainties in practical deliberation. Rather, such an agent can aggregate the theories in which she has positive credence by methods borrowed from voting theory—specifically, MacAskill suggests, by a kind of weighted Borda count. The appeal to voting methods opens up a promising new avenue for theories of rational choice under (...) normative uncertainty. The Borda rule, however, is open to at least two serious objections. First, it seems implicitly to ‘cardinalize’ ordinal theories, and so does not fully face up to the problem of merely ordinal theories. Second, the Borda rule faces a problem of option individuation. MacAskill attempts to solve this problem by invoking a measure on the set of practical options. But it is unclear that there is any natural way of defining such a measure that will not make the output of the Borda rule implausibly sensitive to irrelevant empirical features of decision-situations. After developing these objections, I suggest an alternative: the McKelvey uncovered set, a Condorcet method that selects all and only the maximal options under a strong pairwise defeat relation. This decision rule has several advantages over Borda and mostly avoids the force of MacAskill’s objection to Condorcet methods in general. (shrink)

In decision-making based on multiple criteria, situations may arise where agents find their options to be neither better than, worse than nor equal to each other with respect to the relevant criteria. How, if at all, can a justified choice be made between such options? Are the options incomparable? This article explores a hypothetical case that illustrates how such a situation can arise in an environmental context; more specifically, it considers the deliberations of an imagined 'ethics committee' as it struggles (...) to decide whether or not a deep-sea mining project should be allowed to proceed. I argue that the case is best understood as involving options that are comparable in the sense of being 'on a par'. Working out from a discussion of Ruth Chang's 'self-governance' theory of choice in cases of parity, I suggest that, in the environmental context, the idea of choices expressing a moral identity may lead us in the direction of a plausible solution to these particularly challenging cases. (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)

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)

According to the standard account of forgiveness, you forgive your wrongdoer by overcoming your resentment towards them. But how exactly must you do so? And when is such overcoming fitting? The aim of this paper is to introduce a novel version of the standard account to answer these questions. Its core idea is that the reactive attitudes are a fitting response not just to someone’s blameworthiness, but to their blameworthiness being significant for you, or worthy of your caring, in virtue (...) of your relationship to it. Someone’s blameworthiness is significant for you to the extent you’re bound up with what grounds it––e.g. with the wrongdoer’s being a participant in human relationships, with their attitudes, or with the victim’s being a source of demands. So you may fittingly not care about someone’s blameworthiness if it’s sufficiently insignificant for you in this manner––e.g. if their wrong happened far off in place and time. And forgiveness revolves around this. You forgive your wrongdoer if and only if, partly out of goodwill towards them, you cease to care about their blameworthiness––a bit as if their wrong had happened far off. If I’m right, this agent-relativity-based account can resolve the apparent ‘paradoxy of forgiveness’, satisfies a number of desiderata, and is plausible on an intuitive level. (shrink)

Reply to MacFarlane, Scharp, Shapiro, and Wright Content Type Journal Article Pages 1-19 DOI 10.1007/s11098-011-9793-3 Authors Mark Richard, Philosophy Department, Harvard University, Emerson Hall, Cambridge, MA 02138, USA Journal Philosophical Studies Online ISSN 1573-0883 Print ISSN 0031-8116.

I am going to be discussing a mode of moral responsibility that anglophone philosophers have largely neglected. It is a type of responsibility that looks to the future rather than the past. Because this forward-looking moral responsibility is relatively unfamiliar in the lexicon of analytic philosophy, many of my locutions will initially strike many readers as odd. As a matter of everyday speech, however, the notion of forward-looking moral responsibility is perfectly familiar. Today, for instance, I said I would be (...) responsible for watching my nieces while they swam. Neglecting this responsibility would have been a moral fault. When people marry, they undertake responsibilities, of moral import, of fidelity and mutual support. When people have children, they accrue moral responsibilities to feed, rear, and educate them. Not all forward-looking responsibilities are moral. While finishing this essay, I have had to keep an eye on a number of my administrative responsibilities, and, while reading it, you may well be occasionally distracted by some of your own. The notion of a responsibility that we accrue or take on, to look out for some range of concerns over some range of the future, is, then, perfectly familiar. Because this common notion of forward-looking responsibility has not been integrated into recent moral theory, however, my philosophical discussion of it will initially seem strange. (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)

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)

This essay criticizes Joseph Raz’s service conception of authority on the basis of its knowability condition. The condition states that for agents to be justified in following authoritative directives, they must be able to know (i.e., form reliable beliefs) that the authority issuing the directives is in fact legitimate. Three grounds for concern are identified. The first is that the satisfaction of the normal justification thesis (NJT), which states that the legitimacy of authorities hinges on whether their directives enable subjects (...) to better conform to reason, only provides agents with reasons to believe that it is justified to act as if an authority were legitimate (i.e., on the assumption that it is). Based on the belief/acceptance distinction, the NJT allows for a gap between what is actually the case and what agents are willing to go along with in order to improve the likelihood of conforming to right reason. The independence condition (IC), which states that for those matters where the NJT obtains it must be better for a subject to improve such conformity than to decide for herself, must be satisfied in conjunction with the NJT, but suffers from its own particular problems. Thus, the second problem identified is that of incommensurable values, which appears when agents are not able to decide between the value of improving right reason—NJT—and the value of deciding for themselves—IC. Finally, the third problem is that of vagueness about right reason, where agents attempting to determine whether an authority meets the two conditions are not able to settle whether reason is improved. Together, these three problem areas of knowability serve to challenge Raz’s position. (shrink)

This essay criticizes Joseph Raz’s service conception of authority on the basis of its knowability condition. The condition states that for agents to be justified in following authoritative directives, they must be able to know (i.e., form reliable beliefs) that the authority issuing the directives is in fact legitimate. Three grounds for concern are identified. The first is that the satisfaction of the normal justification thesis (NJT), which states that the legitimacy of authorities hinges on whether their directives enable subjects (...) to better conform to reason, only provides agents with reasons to believe that it is justified to act as if an authority were legitimate (i.e., on the assumption that it is). Based on the belief/acceptance distinction, the NJT allows for a gap between what is actually the case and what agents are willing to go along with in order to improve the likelihood of conforming to right reason. The independence condition (IC), which states that for those matters where the NJT obtains it must be better for a subject to improve such conformity than to decide for herself, must be satisfied in conjunction with the NJT, but suffers from its own particular problems. Thus, the second problem identified is that of incommensurable values, which appears when agents are not able to decide between the value of improving right reason—NJT—and the value of deciding for themselves—IC. Finally, the third problem is that of vagueness about right reason, where agents attempting to determine whether an authority meets the two conditions are not able to settle whether reason is improved. Together, these three problem areas of knowability serve to challenge Raz’s position. (shrink)

It is commonly assumed that preferences are determinate; that is, that an agent who has a preference knows that she has the preference in question and is disposed to act upon it. This paper argues the dubiousness of that assumption. An account of indeterminate preferences in terms of self-predicting subjective probabilities is given, and a decision rule for choices involving indeterminate preferences is proposed. Wolfgang Spohn’s and Isaac Levi ’s arguments against self-predicting probabilities are also considered, in light of Wlodek (...) Rabinowicz’s recent criticism. (shrink)

I will consider how the notion of incommensurability, as championed by Parfit (Reasons and persons, 1984), Griffin (Well-being: its meaning, measurement and importance, 1986), Chang (Ethics 112:659–688, 2002), and Hare (Philos Perspect 23:165–176, 2009), might affect both the argument from slight pain (which suggests God’s non-existence can be inferred from the merest stubbing of one’s toe) and Leibniz’s reply to this argument. I conclude that the notion of incommensurability may ultimately strengthen Leibniz’s general position.

This paper is about epistemic dilemmas, i.e., cases in which one is doomed to have a doxastic attitude that is rationally impermissible no matter what. My aim is to develop and defend a position according to which there can be genuine rational indeterminacy; that is, it can be indeterminate which principles of rationality one should satisfy and thus indeterminate which doxastic attitudes one is permitted or required to have. I am going to argue that this view can resolve epistemic dilemmas (...) in a systematic way while also enjoying some important advantages over its rivals. (shrink)

This paper is about an anti-expertise paradox that arises because of self-referential sentences like: = I do not believe that is true. The first aim is to motivate, develop, and defend a novel view of epistemic rationality according to which there can be genuine rational indeterminacy, i.e., it can be indeterminate which doxastic states an agent is rationally permitted or required to have. The second aim is to show how this view can provide a solution to this paradox while also (...) avoiding the problems that plague its rivals. (shrink)

How should deontologists approach decision-making under uncertainty, for an iterated decision problem? In this paper I explore the shortcomings of a simple expected value approach, using a novel example to raise questions about attitudes to risk, the moral significance of tiny probabilities, the independent moral reasons against imposing risks, the morality of sunk costs, and the role of agent-relativity in iterated decision problems.

An e-book devoted to 13 critical discussions of Thaddeus Metz's book "Meaning in Life: An Analytic Study", with a lengthy reply from the author. -/- Preface Masahiro Morioka i -/- Précis of Meaning in Life: An Analytic Study Thaddeus Metz ii-vi -/- Source and Bearer: Metz on the Pure Part-Life View of Meaning Hasko von Kriegstein 1-18 -/- Fundamentality and Extradimensional Final Value David Matheson 19-32 -/- Meaningful and More Meaningful: A Modest Measure Peter Baumann 33-49 -/- Is Meaning in (...) Life Comparable?: From the Viewpoint of ‘The Heart of Meaning in Life’ Masahiro Morioka 50-65 -/- Agreement and Sympathy: On Metz’s Meaning in Life Sho Yamaguchi 66-89 -/- Metz’s Quest for the Holy Grail James Tartaglia 90-111 -/- Meaning without Ego Christopher Ketcham 112-133 -/- Death and the Meaning of Life: A Critical Study of Metz’s Meaning in Life Fumitake Yoshizawa 134-149 -/- Metz’ Incoherence Objection: Some Epistemological Considerations Nicholas Waghorn 150-168 -/- Meaning in Consequences Mark Wells 169-179 -/- Defending the Purpose Theory of Meaning in Life Jason Poettcker 180-207 -/- Review of Thaddeus Metz’s Meaning in Life Minao Kukita 208-214 -/- A Psychological Model to Determine Meaning in Life and Meaning of Life Yu Urata 215-227 -/- Assessing Lives, Giving Supernaturalism Its Due, and Capturing Naturalism: Reply to 13 Critics of Meaning in Life Thaddeus Metz 228-278 . (shrink)

We often describe lives (or parts of lives) as meaningful or as not meaningful. It is also common to characterize them as more or less meaningful. Some lives, we tend to think, are more meaningful than others. But how then can one compare lives with respect to how much meaning they contain? Can one? This paper argues that (i) only a notion of rough equality can be used when comparing different lives with respect to their meaning, and that (ii) the (...) relation of being more meaningful is not transitive. It follows that all attempts to rank different lives in terms of meaning can at best lead to partially indeterminate and incomplete rankings. One should also give up on the idea of “maximizing” meaning. I will use Thaddeus Metz’s important recent book “Meaning in Life. An Analytic Study” as a foil for my discussion. (shrink)

This volume analyzes and studies how vagueness occurs and matters as a specific problem in the context of theories that are primarily about something else.

This paper uses a formal analysis of the relation of ‘parity’ to make sense of a well-known solution to Parfit’s ‘mere addition paradox’. This solution is sometimes dismissed as a recourse to ‘incomparability’. In this analysis, however, the solution is consistent with comparability, as well as transitivity of ‘better than’. The analysis is related to Blackorby, Bossert and Donaldson’s ‘incomplete critical-level generalised utilitarianism’ (ICLGU). ICLGU is inspired by Parfit’s work and can be related to the analysis of parity, though the (...) distinctive ‘mark’ of parity suggests that the boundaries of a set of critical levels is not exact. One has to allow for vagueness to make an account based on parity plausible. These accounts are then contrasted with Broome’s view which also involves vagueness. (shrink)

According to influential arguments from several branches of philosophy, there exist some gradable natural language expressions that violate the following principle: if x and y are both F to some degree, then either x is at least as F as y or y is at least as F as x. Dorr, Nebel and Zuehl (2022) (DNZ), who refer to this principle as ‘Comparability’, respond to these arguments and offer a systematic case in support of Comparability. In this paper, I respond (...) to DNZ and develop an opposing case against Comparability that (i) buttresses previous criticisms of the principle, (ii) identifies two new arguments against the principle, and (iii) rebuts DNZ’s prospective arguments in favour of the principle. (shrink)

Two options are incommensurate in value if neither is better than the other, and if a small improvement or worsening of one does not necessarily make it determinately better or worse than the other. If a person faces a sequence of choices between incommensurate options, she may end up with a worse options than she could have had, even though none of her choices are irrational. Yet it seems that rationality should save her from this bad outcome. This is the (...) practical problem posed by incommensurability of values, and it may be solved by a new account of practical reasoning. (shrink)

This chapter presents several arguments related to Parfit's notion of evaluative imprecision and his imprecisionist lexical view of population ethics. After sketching Parfit's view, it argues that, contrary to Parfit, imprecision and lexicality are both compatible with thinking about goodness in terms of positions on a scale of value. Then, by examining the role that imprecision is meant to play in defusing spectrum argument, it suggests that imprecision should be identified with vagueness. Next, it argues that there is space for (...) robust moral realists to think of evaluative vagueness as a semantic phenomenon, illustrating this view with a version of conceptual role semantics on which the precisifications of betterness are correctness conditions for the precisifications of preference. Finally, it gives a probability-based argument against the imprecisionist lexical view. (shrink)

The term “value theory” is used in at least three different ways in philosophy. In its broadest sense, “value theory” is a catch-all label used to encompass all branches of moral philosophy, social and political philosophy, aesthetics, and sometimes feminist philosophy and the philosophy of religion — whatever areas of philosophy are deemed to encompass some “evaluative” aspect. In its narrowest sense, “value theory” is used for a relatively narrow area of normative ethical theory of particular concern to consequentialists. In (...) this narrow sense, “value theory” is roughly synonymous with “axiology”. Axiology can be thought of as primarily concerned with classifying what things are good, and how good they are. For instance, a traditional question of axiology concerns whether the objects of value are subjective psychological states, or objective states of the world. (shrink)

In Derek Parfit's original formulation the Repugnant Conclusion is characterized as follows: “For any possible population of at least ten billion people, all with a very high quality of life, there must be some much larger imaginable population whose existence, if other things are equal, would be better even though its members have lives that are barely worth living” (Parfit 1984). The Repugnant Conclusion highlights a problem in an area of ethics which has become known as population ethics . The (...) last three decades have witnessed an increasing philosophical interest in questions such as “Is it possible to make the world a better place by creating additional happy creatures?” and “Is there a moral obligation to have children?” The main problem has been to find an adequate theory about the moral value of states of affairs where the number of people, the quality of their lives, and their identities may vary. Since, arguably, any reasonable moral theory has to take these aspects of possible states of affairs into account when determining the normative status of actions, the study of population ethics is of general import for moral theory. As the name indicates, Parfit finds the Repugnant Conclusion unacceptable and many philosophers agree. However, it has been surprisingly difficult to find a theory that avoids the Repugnant Conclusion without implying other equally counterintuitive conclusions. Thus, the question as to how the Repugnant Conclusion should be dealt with and, more generally, what it shows about the nature of ethics has turned the conclusion into one of the cardinal challenges of modern ethics. (shrink)

Vagueness has gotten some attention in aesthetics, but deserves more. Vagueness is universally acknowledged to be ubiquitous. It has played a substantive role in some recent writing on the definition of art. It has figured importantly in analyses of the concept of literature, and (in connection with a thought experiment of Arthur Danto’s), of the ontology of art. Vagueness was a locus of contention in a debate between Alan Goldman and Eddy Zemach about the reality of aesthetic properties. This paper’s (...) aim is to advance that debate, by focusing on the relevance of vagueness to the familiar argument that moves from premises about aesthetic disagreement to the conclusion that aesthetic properties are not real. In what follows, it is argued that, vis-á-vis aesthetic disagreement, the vagueness of aesthetic properties can do important theoretical work for aesthetic realism. (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)

The primary aim of this thesis is to examine some of the arguments that have been leveled against the idea that all value bearing entities are comparable. A secondary aim is to investigate some putative properties of the relation ‘better than', especially transitivity and vagueness. Also, some of the consequences of accepting incomparability are investigated, both with regards to other value theoretical issues, such as the implications for monadic value predicates, and with regards to more applied issues, such as the (...) comparison of risks. PAPER I is a critical examination of the so-called small-improvement argument for incomparability. It is demonstrated that the value structure this argument is able to distinguish is compatible not only with incomparability but also with a kind of evaluative indeterminacy that is distinct from incomparability. PAPER II argues that if the possibility of non-conventional value relations is granted it follows that some things that have value are neither good, bad, nor neutral. This counterintuitive conclusion is reached by combining two individually plausible analyses of value. PAPER III addresses the phenomenon of incomplete preferences. It is shown how it is possible to model incomplete preference orderings by means of probabilistic preferences, and how to reveal an agent's incomplete preference ordering within a behaviorist framework. PAPER IV examines another version of the small-improvement argument designed to establish the rationality of incomplete preferences. It is argued that while there might be reasons to believe each of the premises in this version, there is a conflict between these reasons. The conflict is such that we are not provided with a reason to believe the conjunction of the premises. And without support for the conjunction of the premises the small-improvement argument for incomparability fails. PAPER V defends the common sense claim that ‘better than' is transitive against the compelling counterexamples provided by Larry Temkin and Stuart Rachels. It is demonstrated that the contradiction that follows from accepting Temkin and Rachels' premises trades on the vagueness of ‘better than', and so does not warrant the rejection of transitivity, but rather the conclusion that ‘better than' is vague. PAPER VI applies the notions of incommensurability and incomparability to comparative risk analysis. It is argued that if risks are incommensurable, and thereby resistant to accurate comparisons in terms of severity, we cannot perform accurate and cost effective trade-offs between risks and their associated benefits. (shrink)

This thesis is the first step in a research project which aims to develop an accurate and robust theory of global justice. The thesis concerns the content of our duties of global justice, under strict compliance theory. It begins by discussing the basic framework of my theory of global justice, which consists in two aspects: duties of minimal wellbeing, which are universal, and duties of fairness and equality, which are associative and not universal. With that in place, it briefly discusses (...) the nature of duties of fairness and equality. I shall argue that they are associative, because they are derived from the form of cooperation at hand; and that there are three kinds of them in our contemporary world: states, local cooperation and trans-state cooperation. It is from their forms of cooperation that these duties are derived. After that, the thesis focuses exclusively on duties of minimal wellbeing. Against the usual account of these duties - the human-flourishing account - I argue for my human-life account. This account argues that the function of these duties is to secure a human life for individuals; and it begins with a Razian conception of wellbeing, which states that the wellbeing of an individual is fundamentally constituted by: (a) the satisfaction of his biological needs, and (b) his success in whole-heartedly pursuing socially defined and determined goals and activities which are in fact valuable. An account of what constitutes a human life is then derived from this conception of wellbeing – it is a life that consists in having a level of wellbeing that is higher than the satisfaction of biological needs, where this is constituted by the pursuit of goals and activities with a sense of what is worth doing; and this in turn consists in: (a) being able to forms ideas of what is worth doing, (b) being able to revise them in light of further reasons, and (c) being able to coordinate one's actions according to them. I then determine the specific objects of duties of minimal wellbeing (means for the satisfaction of biological needs, education, physical security, freedom of belief, association and expression, freedom of non-harmful conduct, and minimal resources), by determining what is involved in securing such a human life for individuals. (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)

The main goal of this thesis is to provide a clear basis for the analysis of alternative currencies, such as Bitcoin, LETS, Local currencies, the WIR or Carbon currencies. It attempts to determine whether alternative currencies might constitute just and workable alternatives, either in the form of small-scale experiments or in the form of more radical reforms. The first chapter proposes a new way to classify currencies. The second examines the case in favour of monetary plurality. The third analyses the (...) claims in favour of restricting the use of money locally, within a community, or to certain goods. The fourth studies the link between money and the market. Finally, a post-scriptum focuses on Bitcoin and cryptocurrencies. This thesis highlights that these currencies are drivers of several potential conflicts. Their widespread use might conflict with the adequate management of monetary policy, with social justice, and with liberal values. These conflicts are potential, for they would come into existence only if alternative currencies increased in scope. However, there is no reason to disregard potential conflicts when the case in their favour relies mostly on their potential benefits. (shrink)

One of the main lines of research in algorithmic fairness involves individual fairness (IF) methods. Individual fairness is motivated by an intuitive principle, similar treatment, which requires that similar individuals be treated similarly. IF offers a precise account of this principle using distance metrics to evaluate the similarity of individuals. Proponents of individual fairness have argued that it gives the correct definition of algorithmic fairness, and that it should therefore be preferred to other methods for determining fairness. I argue that (...) individual fairness cannot serve as a definition of fairness. Moreover, IF methods should not be given priority over other fairness methods, nor used in isolation from them. To support these conclusions, I describe four in-principle problems for individual fairness as a definition and as a method for ensuring fairness: (1) counterexamples show that similar treatment (and therefore IF) are insufficient to guarantee fairness; (2) IF methods for learning similarity metrics are at risk of encoding human implicit bias; (3) IF requires prior moral judgments, limiting its usefulness as a guide for fairness and undermining its claim to define fairness; and (4) the incommensurability of relevant moral values makes similarity metrics impossible for many tasks. In light of these limitations, I suggest that individual fairness cannot be a definition of fairness, and instead should be seen as one tool among several for ameliorating algorithmic bias. (shrink)

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

A strongly independent preorder on a possibly in finite dimensional convex set that satisfi es two of the following conditions must satisfy the third: (i) the Archimedean continuity condition; (ii) mixture continuity; and (iii) comparability under the preorder is an equivalence relation. In addition, if the preorder is nontrivial (has nonempty asymmetric part) and satisfi es two of the following conditions, it must satisfy the third: (i') a modest strengthening of the Archimedean condition; (ii') mixture continuity; and (iii') completeness. Applications (...) to decision making under conditions of risk and uncertainty are provided. (shrink)

Are moral terms semantically plastic—that is, would very slight changes in our patterns of use have shifted their meanings? This is a delicate question for moral realists. A 'yes' answer seems to conflict with the sorts of intuitions that support realism; but a 'no' answer seems to require a semantics that involves hefty metaphysical commitments. This tension can be illustrated by thinking about how standard accounts of vagueness can be applied to the case of moral terms, and also by considering (...) how realists should respond to the Moral Twin Earth problem. After presenting the puzzle, I will argue that moral realists can accept the semantic plasticity of moral expressions while accounting for contrary intuitions in a way that is nearly cost-free. (shrink)