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1596From degrees of belief to binary beliefs: lessons from judgment-aggregation theoryJournal of Philosophy 115 (5): 225-270. 2018.What is the relationship between degrees of belief and binary beliefs? Can the latter be expressed as a function of the former—a so-called “belief-binarization rule”—without running into difficulties such as the lottery paradox? We show that this problem can be usefully analyzed from the perspective of judgment-aggregation theory. Although some formal similarities between belief binarization and judgment aggregation have been noted before, the connection between the two problems has not yet been…Read more
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1289A liberal paradox for judgment aggregationSocial Choice and Welfare 31 (1): 59-78. 2004.In the emerging literature on judgment aggregation over logically connected proposi- tions, expert rights or liberal rights have not been investigated yet. A group making collective judgments may assign individual members or subgroups with expert know- ledge on, or particularly affected by, certain propositions the right to determine the collective judgment on those propositions. We identify a problem that generalizes Sen's 'liberal paradox'. Under plausible conditions, the assignment of rights …Read more
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4483The many‐worlds theory of consciousnessNoûs 57 (2): 316-340. 2023.This paper sketches a new and somewhat heterodox metaphysical theory of consciousness: the “many-worlds theory”. It drops the assumption that all conscious subjects’ experiences are features of one and the same world and instead associates different subjects with different “first-personally centred worlds”. We can think of these as distinct “first-personal realizers” of a shared “third-personal world”, where the latter is supervenient, in a sense to be explained. This is combined with a form of …Read more
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47Social Choice TheoryIn Ed Zalta (ed.), Stanford Encyclopedia of Philosophy, Stanford Encyclopedia of Philosophy. 2012.
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232Why Free Will Is RealHarvard University Press. 2019.Philosophers have argued about the nature and the very existence of free will for centuries. Today, many scientists and scientifically minded commentators are skeptical that it exists, especially when it is understood to require the ability to choose between alternative possibilities. If the laws of physics govern everything that happens, they argue, then how can our choices be free? Believers in free will must be misled by habit, sentiment, or religious doctrine. Why Free Will Is Real defies sc…Read more
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13371Free Will: Real or Illusion - A DebateThe Philosopher 108 (1). 2020.Debate on free will with Christian List, Gregg Caruso, and Cory Clark. The exchange is focused on Christian List's book Why Free Will Is Real.
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793What’s Wrong with the Consequence Argument: A Compatibilist Libertarian ResponseProceedings of the Aristotelian Society 119 (3): 253-274. 2019.The most prominent argument for the incompatibility of free will and determinism is Peter van Inwagen’s consequence argument. I offer a new diagnosis of what is wrong with this argument. Proponents and critics typically accept the way the argument is framed, and only disagree on whether the premisses and rules of inference are true. I suggest that the argument involves a category mistake: it conflates two different levels of description, namely, the physical level at which we describe the world …Read more
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109The Theory of Judgment Aggregation: An Introductory ReviewLSE Choice Group Working Paper Series 6 (1). 2010.This paper provides an introductory review of the theory of judgment aggregation. It introduces the paradoxes of majority voting that originally motivated the field, explains several key results on the impossibility of propositionwise judgment aggregation, presents a pedagogical proof of one of those results, discusses escape routes from the impossibility and relates judgment aggregation to some other salient aggregation problems, such as preference aggregation, abstract aggregation and probabil…Read more
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1921Desire-as-belief revisitedAnalysis 69 (1): 31-37. 2009.On Hume’s account of motivation, beliefs and desires are very different kinds of propositional attitudes. Beliefs are cognitive attitudes, desires emotive ones. An agent’s belief in a proposition captures the weight he or she assigns to this proposition in his or her cognitive representation of the world. An agent’s desire for a proposition captures the degree to which he or she prefers its truth, motivating him or her to act accordingly. Although beliefs and desires are sometimes entangled, the…Read more
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563Craig’s Theorem and the Empirical Underdetermination Thesis ReassessedDisputatio 7 28-39. 1999.This paper reassesses the question of whether Craig’s theorem poses a challenge to Quine's empirical underdetermination thesis. It will be demonstrated that Quine’s account of this issue in his paper “Empirically Equivalent Systems of the World” (1975) is flawed and that Quine makes too strong a concession to the Craigian challenge. It will further be pointed out that Craig’s theorem would threaten the empirical underdetermination thesis only if the set of all relevant observation conditionals c…Read more
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2964The relation between degrees of belief and binary beliefs: A general impossibility theoremIn Igor Douven (ed.), Lotteries, Knowledge, and Rational Belief: Essays on the Lottery Paradox, Cambridge University Press. pp. 223-54. 2020.Agents are often assumed to have degrees of belief (“credences”) and also binary beliefs (“beliefs simpliciter”). How are these related to each other? A much-discussed answer asserts that it is rational to believe a proposition if and only if one has a high enough degree of belief in it. But this answer runs into the “lottery paradox”: the set of believed propositions may violate the key rationality conditions of consistency and deductive closure. In earlier work, we showed that this problem gen…Read more
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Deliberation and Decision: Economics, Constitutional Theory and Deliberative Democracy (edited book)Ashgate. 2004.Deliberation and Decision explores ways of bridging the gap between two rival approaches to theorizing about democratic institutions: constitutional economics on the one hand and deliberative democracy on the other. The two approaches offer very different accounts of the functioning and legitimacy of democratic institutions. Although both highlight the importance of democratic consent, their accounts of such consent could hardly be more different. Constitutional economics models individuals as s…Read more
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270Episteme symposium on group agency: replies to Gaus, Cariani, Sylvan, and BriggsEpisteme 9 (3): 293-309. 2012.Discussion Christian List, Philip Pettit, Episteme, FirstView Article
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258A simple proof of Sen's possibility theorem on majority decisionsElemente der Mathematik 60 45-56. 2005.Condorcet’s voting paradox shows that pairwise majority voting may lead to cyclical majority preferences. In a famous paper, Sen identified a general condition on a profile of individual preference orderings, called triplewise value-restriction, which is sufficient for the avoidance of such cycles. This note aims to make Sen’s result easily accessible. We provide an elementary proof of Sen's possibility theorem and a simple reformulation of Sen’s condition. We discuss how Sen’s condition is logi…Read more
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197Multidimensional welfare aggregationPublic Choice 119 119-142. 2004.Most accounts of welfare aggregation in the tradition of Arrow's and Sen's social-choice-theoretic frameworks represent the welfare of an individual in terms of a single welfare ordering or a single scalar-valued welfare function. I develop a multidimensional generalization of Arrow's and Sen's frameworks, representing individual welfare in terms of multiple personal welfare functions, corresponding to multiple 'dimensions' of welfare. I show that, as in the one-dimensional case, the existence o…Read more
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286Intradimensional Single-Peakedness and the Multidimensional Arrow ProblemTheory and Decision 52 (3): 287-301. 2002.Arrow's account (1951/1963) of the problem of social choice is based upon the assumption that the preferences of each individual in the relevant group are expressible by a single ordering. This paper lifts that assumption and develops a multidimensional generalization of Arrow's framework. I show that, like Arrow's original framework, the multidimensional generalization is affected by an impossibility theorem, highlighting not only the threat of dictatorship of a single individual, but also the …Read more
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7590Free Will, Determinism, and the Possibility of Doing OtherwiseNoûs 48 (1): 156-178. 2014.I argue that free will and determinism are compatible, even when we take free will to require the ability to do otherwise and even when we interpret that ability modally, as the possibility of doing otherwise, and not just conditionally or dispositionally. My argument draws on a distinction between physical and agential possibility. Although in a deterministic world only one future sequence of events is physically possible for each state of the world, the more coarsely defined state of an agent …Read more
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1278Group Communication and the Transformation of Judgments: An Impossibility ResultJournal of Political Philosophy 19 (1): 1-27. 2010.While a large social-choice-theoretic literature discusses the aggregation of individual judgments into collective ones, there is much less formal work on the transformation of judgments in group communication. I develop a model of judgment transformation and prove a baseline impossibility theorem: Any judgment transformation function satisfying some initially plausible conditions is the identity function, under which no opinion change occurs. I identify escape routes from this impossibility and…Read more
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577Two Intuitions about Free Will: Alternative Possibilities and Intentional EndorsementPhilosophical Perspectives 28 155-172. 2014.Free will is widely thought to require (i) the possibility of acting otherwise and (ii) the intentional endorsement of one’s actions (“indeterministic picking is not enough”). According to (i), a necessary condition for free will is agential-level indeterminism: at some points in time, an agent’s prior history admits more than one possible continuation. According to (ii), however, a free action must be intentionally endorsed, and indeterminism may threaten freedom: if several alternative actions…Read more
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1736Can there be a global Demos? An agency-based approachPhilosophy and Public Affairs 38 (1): 76-110. 2010.Can there be a global demos? The current debate about this topic is divided between two opposing camps: the “pessimist” or “impossibilist” camp, which holds that the emergence of a global demos is either conceptually or empirically impossible, and the “optimist” or “possibilist” camp, which holds that the emergence of a global demos is conceptually as well as empirically possible and an embryonic version of it already exists. However, the two camps agree neither on a common working definition of…Read more
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1530The Logical Space of DemocracyPhilosophy and Public Affairs 39 (3): 262-297. 2011.Can we design a perfect democratic decision procedure? Condorcet famously observed that majority rule, our paradigmatic democratic procedure, has some desirable properties, but sometimes produces inconsistent outcomes. Revisiting Condorcet’s insights in light of recent work on the aggregation of judgments, I show that there is a conflict between three initially plausible requirements of democracy: “robustness to pluralism”, “basic majoritarianism”, and “collective rationality”. For all but the s…Read more
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1392Are interpersonal comparisons of utility indeterminate?Erkenntnis 58 (2). 2003.On the orthodox view in economics, interpersonal comparisons of utility are not empirically meaningful, and "hence" impossible. To reassess this view, this paper draws on the parallels between the problem of interpersonal comparisons of utility and the problem of translation of linguistic meaning, as explored by Quine. I discuss several cases of what the empirical evidence for interpersonal comparisonsof utility might be and show that, even on the strongest of these, interpersonal comparisons ar…Read more
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1742Republican freedom and the rule of lawPolitics, Philosophy and Economics 5 (2): 201-220. 2006.At the core of republican thought, on Philip Pettit’s account, lies the conception of freedom as non-domination, as opposed to freedom as noninterference in the liberal sense. I revisit the distinction between liberal and republican freedom and argue that republican freedom incorporates a particular rule-of-law requirement, whereas liberal freedom does not. Liberals may also endorse such a requirement, but not as part of their conception of freedom itself. I offer a formal analysis of this rule-…Read more
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3721My brain made me do it: The exclusion argument against free will, and what’s wrong with itIn Helen Beebee, Christopher Hitchcock & Huw Price (eds.), Making a Difference: Essays on the Philosophy of Causation, Oxford University Press. 2017.We offer a critical assessment of the “exclusion argument” against free will, which may be summarized by the slogan: “My brain made me do it, therefore I couldn't have been free”. While the exclusion argument has received much attention in debates about mental causation (“could my mental states ever cause my actions?”), it is seldom discussed in relation to free will. However, the argument informally underlies many neuroscientific discussions of free will, especially the claim that advances in n…Read more
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2486Scientists and philosophers frequently speak about levels of description, levels of explanation, and ontological levels. This paper presents a framework for studying levels. I give a general definition of a system of levels and discuss several applications, some of which refer to descriptive or explanatory levels while others refer to ontological levels. I illustrate the usefulness of this framework by bringing it to bear on some familiar philosophical questions. Is there a hierarchy of levels, …Read more
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902Independence and Interdependence: Lessons from the HiveRationality and Society 26 (2): 170-207. 2014.There is a substantial class of collective decision problems whose successful solution requires interdependence among decision makers at the agenda-setting stage and independence at the stage of choice. We define this class of problems and describe and apply a search-and-decision mechanism theoretically modeled in the context of honeybees and identified in earlier empirical work in biology. The honeybees’ mechanism has useful implications for mechanism design in human institutions, including cou…Read more
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831“Reason-based rationalizations” explain an agent's choices by specifying which properties of the options or choice context he/she cares about (the “motivationally salient properties”) and how he/she cares about these properties the “fundamental preference relation”). We characterize the choice-behavioural implications of reason-based rationalizability and identify two kinds of context-dependent motivation in a reason-based agent: he/she may (i) care about different properties in different contex…Read more
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105Democracy in animal groups: a political science perspectiveTrends in Ecology and Evolution 19 (4): 168-169. 2004.This short paper proposes an application of Condorcet's jury theorem to animal group decisions.
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949Which worlds are possible? A judgment aggregation problemJournal of Philosophical Logic 37 (1). 2008.Suppose the members of a group (e.g., committee, jury, expert panel) each form a judgment on which worlds in a given set are possible, subject to the constraint that at least one world is possible but not all are. The group seeks to aggregate these individual judgments into a collective judgment, subject to the same constraint. I show that no judgment aggregation rule can solve this problem in accordance with three conditions: “unanimity,” “independence” and “non-dictatorship,” Although the resu…Read more
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