Arrow’s impossibility result not only had a profound influence on welfare economics, but was, as this paper shows, also widely discussed in philosophy of science and in the engineering design literature.

A venerable idea in the history of moral philosophy is that central among the normative notions is the notion of goodness or value. This idea, which can be found at least as early as 1903 in G.E. Moore’s Principia Ethica, claims that goodness is central in that all other normative notions can be explained in terms of it. Moore’s approach and the dominant approach to the project of explaining the normative notions of rightness and what we have reason to do (...) is the consequentialist program. While the most famous element of this program is the consequentialist moral theory that says an act is right just in case the outcome of that act is at least as good as the outcome of any alternative act, the consequentialist program in general hopes to similarly explain the notion of a reason in terms of goodness. So the consequentialist theory of practical reason says that an agent has more reason to do some act a than to do some act b just in case the outcome of doing a is better than the outcome of doing b. (shrink)

In a recent article, Okasha challenges Kuhn’s claim that there is no ‘neutral’ algorithm for theory choice. He argues using Arrow’s ‘impossibility’ theorem that — except under certain favourable conditions concerning the measurability and comparability of theoretical values — there are no theory choice algorithms at all, neutral or otherwise. But Okasha’s argument does not apply to important theory choice problems, among them the case of Copernican and Ptolemaic astronomy that much occupied Kuhn. The reason is that Kuhn’s choice criteria (...) can rank rival theories in only a few ways, which makes the analogue of Arrow’s domain assumption inappropriate. It is hard to see any consequences for Kuhn’s claim, or threat to the rationality of science. (shrink)

A traditional picture is that cases of deontic constraints--- cases where an act is wrong (or one that there is most reason to not do) even though performing that act will prevent more acts of the same morally (or practically) relevant type from being performed---form a kind of fault line in ethical theory separating (agent-neutral) consequentialist theories from other ethical theories. But certain results in the recent literature, such as those due to Graham Oddie and Peter Milne in "Act and (...) Value", do not sit well this traditional wisdom. My aim in this paper is to argue that both the traditional wisdom and Oddie and Milne are mistaken. I begin by looking more closely at the traditional wisdom and why it fails (§1). Then I develop my account of this fault line in ethical theory and its importance (§2). Finally I show that a diagnosis of where Oddie and Milne go wrong follows as a corollary of this new account (§3). An important upshot will be that discussions of cases of deontic constraints would do best to focus on the account of the nature and importance of the cases identified in this paper rather than continuing to work with the mistaken traditional picture. (shrink)

We argue that a semantics for counterfactual conditionals in terms of comparative overall similarity faces a formal limitation due to Arrow’s impossibility theorem from social choice theory. According to Lewis’s account, the truth-conditions for counterfactual conditionals are given in terms of the comparative overall similarity between possible worlds, which is in turn determined by various aspects of similarity between possible worlds. We argue that a function from aspects of similarity to overall similarity should satisfy certain plausible constraints while Arrow’s impossibility (...) theorem rules out that such a function satisfies all the constraints simultaneously. We argue that a way out of this impasse is to represent aspectual similarity in terms of ranking functions instead of representing it in a purely ordinal fashion. Further, we argue against the claim that the determination of overall similarity by aspects of similarity faces a difficulty in addition to the Arrovian limitation, namely the incommensurability of different aspects of similarity. The phenomena that have been cited as evidence for such incommensurability are best explained by ordinary vagueness. (shrink)

An analogue of Arrow’s theorem has been thought to limit the possibilities for multi-criterial theory choice. Here, an example drawn from Toy Science, a model of theories and choice criteria, suggests that it does not. Arrow’s assumption that domains are unrestricted is inappropriate in connection with theory choice in Toy Science. There are, however, variants of Arrow’s theorem that do not require an unrestricted domain. They require instead that domains are, in a technical sense, ‘rich’. Since there are rich domains (...) in Toy Science, such theorems do constrain theory choice to some extent—certainly in the model and perhaps also in real science. (shrink)

A small set of allocation principles is said to be behind several theories of distributive justice. However, disagreement about the appropriate relationship between these notions remains, so that compromises between principles may generate more agreement. Truncated utilitarianism is a prominent candidate. It demands maximising total wealth subject to a floor level of individual wealth for all people. Based on some well-known distributive notions, we developed a questionnaire setting and confronted student respondents with corresponding allocation problems, where an exogenously given poverty (...) line served as a floor. However, support for allocations resulting from this specific interpretation of truncated utilitarianism remained rather low. This is surprising because the respective solution was close to an equal split of resources, and aspects of efficiency and responsibility were explicitly introduced to promote more general acceptance. We argue that people may either wish to see higher floor levels or are more inequality averse than probably expected. Moreover, high support for an unconditional consideration of the poverty line can be witnessed, even though aspects of responsibility, but not efficiency arguments, display an influence. In general, attitudes with respect to the equality–efficiency trade-off are found to remain heterogeneous, although different equality concerns are prominent. Furthermore, trade-offs are moderated by the responsibility principle. (shrink)

:Preference-aggregation problems arise in various contexts. One such context, little explored by social choice theorists, is metaethical. ‘Ideal-advisor’ accounts, which have played a major role in metaethics, propose that moral facts are constituted by the idealized preferences of a community of advisors. Such accounts give rise to a preference-aggregation problem: namely, aggregating the advisors’ moral preferences. Do we have reason to believe that the advisors, albeit idealized, can still diverge in their rankings of a given set of alternatives? If so, (...) what are the moral facts when the advisors do diverge? These questions are investigated here using the tools of Arrovian social choice theory. (shrink)