(This is for the Cambridge Handbook of Analytic Philosophy, edited by Marcus Rossberg) In this handbook entry, I survey the different ways in which formal mathematical methods have been applied to philosophical questions throughout the history of analytic philosophy. I consider: formalization in symbolic logic, with examples such as Aquinas’ third way and Anselm’s ontological argument; Bayesian confirmation theory, with examples such as the fine-tuning argument for God and the paradox of the ravens; foundations of mathematics, with examples such as (...) Hilbert’s programme and Gödel’s incompleteness theorems; social choice theory, with examples such as Condorcet’s paradox and Arrow’s theorem; ‘how possibly’ results, with examples such as Condorcet’s jury theorem and recent work on intersectionality theory; and the application of advanced mathematics in philosophy, with examples such as accuracy-first epistemology. (shrink)

It is common to view appeals to popularity as fallacious. We argue this is a mistake and that Condorcet’s jury theorem can be used to justify at least some appeals to popularity as legitimate inferences. More importantly, the conditions for the application of Condorcet’s theorem can be used as critical tools when evaluating appeals to popularity. The application of these three concepts to appeals to popularity provide a more fine-grained critical strategy for argument evaluation and, also, allow us to see (...) the real problems that often arise with such appeals more clearly. (shrink)

Many epistemologists have argued that there is some degree of independence between individual and collective reliability (e.g., Kitcher 1990; Mayo-Wilson, Zollman, and Danks 2011; Dunn 2018). The question, then, is: To what extent are the two independent of each other? And in which contexts do they come apart? In this paper, I present a new case confirming the independence between individual and collective reliability optimization. I argue that, in voting groups, optimizing individual reliability can conflict with optimizing collective reliability. This (...) can happen even if various conditions are held constant, such as: the evidence jurors have access to, the voting system, the number of jurors, some independence conditions between voters, and so forth. This observation matters in many active debates on, e.g., epistemic dilemmas, the wisdom of crowds, independence theses, epistemic democracy, and the division of epistemic labour. (shrink)

It has been argued that an epistemically rational agent’s evidence is subjectively mediated through some rational epistemic standards, and that there are incompatible but equally rational epistemic standards available to agents. This supports Permissiveness, the view according to which one or multiple fully rational agents are permitted to take distinct incompatible doxastic attitudes towards P (relative to a body of evidence). In this paper, I argue that the above claims entail the existence of a unique and more reliable epistemic standard. (...) My strategy relies on Condorcet’s Jury Theorem. This gives rise to an important problem for those who argue that epistemic standards are permissive, since the reliability criterion is incompatible with such a type of Permissiveness. (shrink)

Epistemically immodest agents take their own epistemic standards to be among the most truth-conducive ones available to them. Many philosophers have argued that immodesty is epistemically required of agents, notably because being modest entails a problematic kind of incoherence or self-distrust. In this paper, I argue that modesty is epistemically permitted in some social contexts. I focus on social contexts where agents with limited cognitive capacities cooperate with each other (like juries).

Democracy is usually justified either on intrinsic or instrumental, particularly epistemic, grounds. Intrinsic justifications stress the values inherent in the democratic process itself, whereas epistemic ones stress that it results in good outcomes. This article examines whether epistemic justifications for deliberative democracy are superior to intrinsic ones. The Condorcet jury theorem is the most common epistemic justification of democracy. I argue that it is not appropriate for deliberative democracy. Yet deliberative democrats often explicitly state that the process will favour the (...) best argument. This can only be the case if deliberation improves the overall competence of the group and of the individuals that constitute it. I analyse when deliberation will increase competences and when it will not do so and find that individual competences will not reliably increase as a result of deliberation. In order for deliberative democracy to be epistemically more effective than representative democracy, strong procedural assumptions need to be made and deliberative democracy needs to be justified based on a combination of epistemic and intrinsic elements. (shrink)

This paper offers a new insight on the Condorcet Jury Theorem (CJT) in the theory of epistemic democracy. This theorem states that democratic decision-making leads us to correct outcomes under certain assumptions. One key assumption is the ‘independence condition’, which requires that voters form their beliefs independently when they vote. This paper examines the role of an opinion leader as an informational source, which potentially violates independence. We demonstrate that voters’ beliefs may be correlated in the presence of the leader, (...) and that the CJT can fail if the leader’s opinions are reliable. This leads us to the following paradoxical observation: for epistemic democracy, good leaders may be bad, while bad leaders may be good. (shrink)

List and Pettit's Group Agency is an extremely important book, spearheading a new wave of work on the metaphysics, epistemology and ethics of group agents. In this article, I focus on the epistemological thread in their discussion. After introducing the apparatus they use in analyzing the epistemic performance of groups, I criticize some elements and point to some ways in which the very same apparatus could be redirected to address them.Send article to KindleTo send this article to your Kindle, first (...) ensure [email protected] is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about sending to your Kindle. Find out more about sending to your Kindle. Note you can select to send to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be sent to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply. Find out more about the Kindle Personal Document Service.EPISTEMOLOGY IN GROUP AGENCY: SIX OBJECTIONS IN SEARCH OF THE TRUTHVolume 9, Issue 3Fabrizio CarianiDOI: https://doi.org/10.1017/epi.2012.15Your Kindle email address Please provide your Kindle [email protected]@kindle.com Available formats PDF Please select a format to send. By using this service, you agree that you will only keep articles for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services. Please confirm that you accept the terms of use. Cancel Send ×Send article to Dropbox To send this article to your Dropbox account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about sending content to Dropbox. EPISTEMOLOGY IN GROUP AGENCY: SIX OBJECTIONS IN SEARCH OF THE TRUTHVolume 9, Issue 3Fabrizio CarianiDOI: https://doi.org/10.1017/epi.2012.15Available formats PDF Please select a format to send. By using this service, you agree that you will only keep articles for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services. Please confirm that you accept the terms of use. Cancel Send ×Send article to Google Drive To send this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about sending content to Google Drive. EPISTEMOLOGY IN GROUP AGENCY: SIX OBJECTIONS IN SEARCH OF THE TRUTHVolume 9, Issue 3Fabrizio CarianiDOI: https://doi.org/10.1017/epi.2012.15Available formats PDF Please select a format to send. By using this service, you agree that you will only keep articles for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services. Please confirm that you accept the terms of use. Cancel Send ×Export citation Request permission. (shrink)

Many philosophers have claimed that relying on the testimony of others in normative questions is in some way problematic. In this paper, I consider whether we should be troubled by deference in democratic politics. I argue that deference is less problematic in impure cases of political deference, and most non-ideal cases of political deference are impure. To establish the second point, I rely on empirical research from political psychology. I also outline two principled reasons why we should expect political deference (...) to be untroubling: political problems are difficult and require a division of epistemic labour; furthermore, there is value in exercising epistemic solidarity with those one shares an identity or interests with. (shrink)

Decision-making typically requires judgments about causal relations: we need to know the causal effects of our actions and the causal relevance of various environmental factors. We investigate how several individuals' causal judgments can be aggregated into collective causal judgments. First, we consider the aggregation of causal judgments via the aggregation of probabilistic judgments, and identify the limitations of this approach. We then explore the possibility of aggregating causal judgments independently of probabilistic ones. Formally, we introduce the problem of causal-network aggregation. (...) Finally, we revisit the aggregation of probabilistic judgments when this is constrained by prior aggregation of qualitative causal judgments. (shrink)

Suppose a committee or a jury confronts a complex question, the answer to which requires attending to several sub-questions. Two different voting procedures can be used. On one, the committee members vote on each sub-question and the voting results are used as premises for the committee’s conclusion on the main issue. This premise-based procedure can be contrasted with the conclusion-based approach, which requires the members to directly vote on the conclusion, with the vote of each member being guided by her (...) views on the relevant sub-questions. The two procedures are not equivalent: There may be a majority of voters supporting each of the premises, but if these majorities do not significantly overlap, there will be a majority against the conclusion. Pettit (2001) connects the choice between the two procedures with the discussion of deliberative democracy. The problem we want to examine instead concerns the relative advantages and disadvantages of the two procedures from the epistemic point of view. Which of them is better when it comes to tracking truth? As it turns out, the answer is not univocal. On the basis of Condorcet’s jury theorem, the premise-based procedure can be shown to be superior if the objective is reach truth for the right reasons, without making any mistakes on the way. However, if the goal instead is to reach truth for whatever reasons, right or wrong, there will be cases in which using the conclusion-based procedure turns out to be more reliable, even though, for the most part, the premise-based procedure will retain its superiority. (shrink)

This paper addresses a problem for theories of epistemic democracy. In a decision on a complex issue which can be decomposed into several parts, a collective can use different voting procedures: Either its members vote on each sub-question and the answers that gain majority support are used as premises for the conclusion on the main issue, or the vote is conducted on the main issue itself. The two procedures can lead to different results. We investigate which of these procedures is (...) better as a truth-tracker, assuming that there exists a true answer to be reached. On the basis of the Condorcet jury theorem, we show that the pbp is universally superior if the objective is to reach truth for the right reasons. If one instead is after truth for whatever reasons, right or wrong, there will be cases in which the cbp is more reliable, even though, for the most part, the pbp still is to be preferred. (shrink)

Conciliationism faces a challenge that has not been satisfactorily addressed. There are clear cases of epistemically significant merely possible disagreement, but there are also clear cases where merely possible disagreement is epistemically irrelevant. Conciliationists have not yet accounted for this asymmetry. In this paper, we propose that the asymmetry can be explained by positing a selection constraint on all cases of peer disagreement—whether actual or merely possible. If a peer’s opinion was not selected in accordance with the proposed constraint, then (...) it lacks epistemic significance. This allows us to distinguish the epistemically significant cases of merely possible disagreement from the insignificant ones. (shrink)

This paper is about how to aggregate outside opinion. If two experts are on one side of an issue, while three experts are on the other side, what should a non-expert believe? Certainly, the non-expert should take into account more than just the numbers. But which other factors are relevant, and why? According to the view developed here, one important factor is whether the experts should have been expected, in advance, to reach the same conclusion. When the agreement of two (...) (or of twenty) thinkers can be predicted with certainty in advance, their shared belief is worth only as much as one of their beliefs would be worth alone. This expectational model of belief dependence can be applied whether we think in terms of credences or in terms of all-or-nothing beliefs. (shrink)

Th is paper investigates the epistemic powers of democratic institutions through an assessment of three epistemic models of democracy : the Condorcet Jury Th eorem, the Diversity Trumps Ability Th eorem, and Dewey's experimentalist model. Dewey's model is superior to the others in its ability to model the epistemic functions of three constitutive features of democracy : the epistemic diversity of participants, the interaction of voting with discussion, and feedback mechanisms such as periodic elections and protests. It views democracy as (...) an institution for pooling widely distributed information about problems and policies of public interest by engaging the participation of epistemically diverse knowers. Democratic norms of free discourse, dissent, feedback, and accountability function to ensure collective, experimentallybased learning from the diverse experiences of diff erent knowers. I illustrate these points with a case study of community forestry groups in South Asia, whose epistemic powers have been hobbled by their suppression of women's participation. (shrink)

This paper investigates the epistemic powers of democratic institutions through an assessment of three epistemic models of democracy: the Condorcet Jury Theorem, the Diversity Trumps Ability Theorem, and Dewey's experimentalist model. Dewey's model is superior to the others in its ability to model the epistemic functions of three constitutive features of democracy: the epistemic diversity of participants, the interaction of voting with discussion, and feedback mechanisms such as periodic elections and protests. It views democracy as an institution for pooling widely (...) distributed information about problems and policies of public interest by engaging the participation of epistemically diverse knowers. Democratic norms of free discourse, dissent, feedback, and accountability function to ensure collective, experimentally-based learning from the diverse experiences of different knowers. I illustrate these points with a case study of community forestry groups in South Asia, whose epistemic powers have been hobbled by their suppression of women's participation. (shrink)

Este trabajo investiga las capacidades epistémicas de las instituciones democráticas a través de una evaluación de tres modelos epistémicos de democracia: el Teorema del Jurado de Condorcet, el Teorema ‘Diversidad supera Habilidad’ y el modelo experimentalista de Dewey. El modelo de Dewey es superior a los demás en su capacidad de modelar las funciones epistémicas de tres características constitutivas de la democracia: la diversidad epistémica de los participantes, la interacción de la votación con el debate y los mecanismos de retroalimentación (...) como las elecciones periódicas y las protestas. Considera que la democracia es una institución para reunir información ampliamente distribuida sobre problemas y políticas de interés público mediante la participación de conocedores epistémicamente diversos. Las normas democráticas de libre discurso, disenso, retroalimentación y rendición de cuentas funcionan para garantizar el aprendizaje colectivo y con base experimental a partir de las diversas experiencias de los diferentes conocedores. Ilustro estos puntos con un estudio de caso de grupos forestales comunitarios en el Asia meridional, cuyas capacidades epistémicas se han visto perjudicadas por la supresión de la participación de las mujeres. (shrink)

Distributed cognition refers to processes which are (i) cognitive and (ii) distributed across multiple agents or devices rather than performed by a single agent. Distributed cognition has attracted interest in several fields ranging from sociology and law to computer science and the philosophy of science. In this paper, I discuss distributed cognition from a social-choice-theoretic perspective. Drawing on models of judgment aggregation, I address two questions. First, how can we model a group of individuals as a distributed cognitive system? Second, (...) can a group acting as a distributed cognitive system be ‘rational’ and ‘track the truth’ in the outputs it produces? I argue that a group’s performance as a distributed cognitive system depends on its ‘aggregation procedure’ – its mechanism for aggregating the group members’ inputs into collective outputs – and I investigate the properties of an aggregation procedure that matter. (shrink)

In this paper, I will explain and motivate the common consent argument for theism. According to the common consent argument it is rational for you to believe that God exists because you know so many other people believe that God exists. Having motivated the argument, I will explain and motivate several pressing objections to the argument and evaluate their probative force. The paper will serve as both an accessible introduction to this argument as well as a resource for continued research (...) on the topic. (shrink)

Can experimental philosophy help us answer central questions about the nature of moral responsibility, such as the question of whether moral responsibility is compatible with determinism? Specifically, can folk judgments in line with a particular answer to that question provide support for that answer. Based on reasoning familiar from Condorcet’s Jury Theorem, such support could be had if individual judges track the truth of the matter independently and with some modest reliability: such reliability quickly aggregates as the number of judges (...) goes up. In this chapter, however, I argue, partly based on empirical evidence, that although non-specialist judgments might on average be more likely than not to get things right, their individual likelihoods fail to aggregate because they do not track truth with sufficient independence. (shrink)

This chapter examines how social- scientific research on public preferences bears on the ethical question of how those resources should in fact be allocated, and explain how social-scientific researchers might find an understanding of work in ethics useful as they design mechanisms for data collection and analysis. I proceed by first distinguishing the methodologies of social science and ethics. I then provide an overview of different approaches to the ethics of allocating scarce medical interventions, including an approach—the complete lives system—which (...) I have previously defended, and a brief recap of social-scientific research on the allocation of scarce medical resources. Following these overviews, I examine different ways in which public preferences could matter to the ethics of allocation. Last, I suggest some ways in which social scientists could learn from ethics as they conduct research into public preferences regarding the allocation of scarce medical resources. (shrink)

Most foundationalists allow that relations of coherence among antecedently justified beliefs can enhance their overall level of justification or warrant. In light of this, some coherentists ask the following question: if coherence can elevate the epistemic status of a set of beliefs, what prevents it from generating warrant entirely on its own? Why do we need the foundationalist’s basic beliefs? I address that question here, drawing lessons from an instructive series of attempts to reconstruct within the probability calculus the classical (...) problem of independent witnesses who corroborate each other’s testimony. Starred section headings indicate sections omitted here, but available on the author’s USC website. (shrink)

The standard epistemic justification for inclusiveness in political decision making is the Condorcet Jury Theorem, which states that the probability of a correct decision using majority rule increases in group size (given certain assumptions). Informally, majority rule acts as a mechanism to pool the information contained in the judgements of individual agents. I aim to extend the explanation of how groups of political agents track the truth. Before agents can pool the information, they first need to find truth-conducive information. Increasing (...) group size is also important in the initial search for truth-conducive information. (shrink)

A number of philosophers working in applied ethics and bioethics are now earnestly debating the ethics of what they term “moral bioenhancement.” I argue that the society-wide program of biological manipulations required to achieve the purported goals of moral bioenhancement would necessarily implicate the state in a controversial moral perfectionism. Moreover, the prospect of being able to reliably identify some people as, by biological constitution, significantly and consistently more moral than others would seem to pose a profound challenge to egalitarian (...) social and political ideals. Even if moral bioenhancement should ultimately prove to be impossible, there is a chance that a bogus science of bioenhancement would lead to arbitrary inequalities in access to political power or facilitate the unjust rule of authoritarians; in the meantime, the debate about the ethics of moral bioenhancement risks reinvigorating dangerous ideas about the extent of natural inequality in the possession of the moral faculties. (shrink)

In the literature on philosophical progress it is often assumed that agreement is a necessary condition for progress. This assumption is sensible only if agreement is a reliable sign of the truth, since agreement on false answers to philosophical questions would not constitute progress. This paper asks whether agreement among philosophers is (or would be) likely to be a reliable sign of truth. Insights from social choice theory are used to identify the conditions under which agreement among philosophers would be (...) a reliable indicator of the truth, and it is argued that we lack good reason to think that philosophical inquiry meets these conditions. The upshot is that philosophical agreement is epistemically uninformative: agreement on the answer to a philosophical question does not supply even a prima facie reason to think that the agreed-upon view is true. However, the epistemic uninformativeness of philosophical agreement is not an indictment of philosophy's progress, because philosophy is valuable independent of its ability to generate agreement on the correct answers to philosophical questions. (shrink)

Many political philosophers have held that democracy has epistemic benefits. Most commonly, this case is made by arguing that democracies are better able to track the truth than other political arrangements. Truth, however, is not the only epistemic good that is politically valuable. A number of other epistemic goods – goods including evidence, intellectual virtue, epistemic justice, and empathetic understanding – can also have political value, and in ways that go beyond the value of truth. In this paper, I will (...) survey those who have argued that democracy can be valuable because of these other epistemic benefits, considering (1) the ways in which these epistemic goods can be of political value and (2) the challenges that democracies face in producing them. (shrink)

The present paper addresses the question of whether outsiders in science can be rational. This question is addressed on three levels: the level of beliefs of outsiders, the level of decisions of out-siders, and the level of assertions of outsiders. It is argued that outsiders can indeed be rational but only within tightly constrained limits.

ALTHOUGH majority rule finds ready acceptance whenever groups make decisions, there are surprisingly few philosophically interesting arguments in support of it.1 Jeremy Waldron’s The Dignity of Legislation contains the most interesting recent defense of majority rule. Waldron combines his own argument from respect with May’s influential characterization of majority rule, tying both to a reinterpretation of a well-known passage from Locke’s Second Treatise (“the body moves into the direction determined by the majority of forces”). Despite its impressive resourcefulness, Waldron’s defense (...) is deficient, and one goal of this essay is to show how. Yet our main concern is not to criticize Waldron, but to demonstrate general deficiencies of arguments for majority rule and to suggest a strategy for a more adequate and more complete defense. Such arguments tend to have one of two weaknesses: Either they assume that collective decisionmaking is done in terms of ranking options and thus neglect both aggregation methods using more information than the relative standing of options in rankings (such as so-called positional methods) and rules that are not aggregation methods at all (such as fair-division procedures); or they also constitute arguments for other decision rules. In the first case, the argument is too narrow, in the second it is too broad. The narrowness problem is bigger than stated so far because arguments for majority rule tend to assume not only that decisions are made by ranking options, but also that only two options are to be ranked. Both problems arise for Waldron’s defense and leave it incomplete. Yet such incompleteness also characterizes the state of the art in arguing for majority rule. So in addition to.. (shrink)

How sensitive should you be to the testimony of others? You saw the car that caused an accident going through traffic lights on the red; or so you thought. Should you revise your belief on discovering that the majority of bystanders, equally well-equipped, equally well-positioned and equally impartial, reported that it went through on the green? Or take another case. You believe that intelligent design is the best explanation for the order of the living universe. Should you revise that belief (...) on finding that most other people, or at least most who by your own lights are as intelligent, informed and impartial as yourself, believe that evolutionary theory offers the better account? Should you do this, in particular, if your own personal sense of where the evidence points – like your own vivid memory of the car going through on the red – remains firmly on the side of intelligent design? Assume, to take a third case, that there is a matter of fact about whether abortion is right or wrong. You believe that it is wrong, having a firm picture of it as an act on a par with murder. Should you revise that belief on discovering that among those whom you regard as equally intelligent, informed and impartial, most believe that abortion is not wrong, or at least not wrong in the way that murder is wrong? Should you do this, in particular, if your own personal sense of abortion remains unchanged; it still seems to you to be a grievous wrong? Should you put aside your own sense of things as mistaken, in the way you might put aside your imagined memory of the car going through on the red, and decide to go along with the majority view? (shrink)

The standard image of how consensus can be achieved is by pooling evidence and reducing if not eliminating disagreements. But rather than just pooling substantive evidence on a certain question, why not also take into account the formal, testimonial evidence provided by the fact that a majority of the group adopt a particular answer? Shouldn't we be reinforced by the discovery that we are on that majority side, and undermined by the discovery that we are not? Shouldn't this be so, (...) in particular, when Condorcet's jury theorem applies? It turns out not. There are serious problems attending any strategy of majoritarian deference. (shrink)

Taken as a model for how groups should make collective judgments and decisions, the ideal of deliberative democracy is inherently ambiguous. Consider the idealised case where it is agreed on all sides that a certain conclusion should be endorsed if and only if certain premises are admitted. Does deliberative democracy recommend that members of the group debate the premises and then individually vote, in the light of that debate, on whether or not to support the conclusion? Or does it recommend (...) that members individually vote on the premises, and then let their commitment to the conclusion be settled by whether or not the group endorses the required premises? Is deliberative democracy to enforce the discipline of reason at the individual level, as in the first possibility, or at the collective level, as in the second? (shrink)

Taken as a model for how groups should make collective judgments and decisions, the ideal of deliberative democracy is inherently ambiguous. Consider the idealised case where it is agreed on all sides that a certain conclusion should be endorsed if and only if certain premises are admitted. Does deliberative democracy recommend that members of the group debate the premises and then individually vote, in the light of that debate, on whether or not to support the conclusion? Or does it recommend (...) that members individually vote on the premises, and then let their commitment to the conclusion be settled by whether or not the group endorses the required premises? Deliberative-democratic theory has not addressed this issue, and this is a problem. The discursive dilemma of my title--a generalisation of the doctrinal paradox from analytical jurisprudence--shows that the procedures distinguished can come apart. Thus deliberative democrats must make up their minds on where they stand in relation to the issue; they cannot sit on the fence. This paper is an attempt to address the issue and look at the grounds on which it may be resolved. (shrink)

Recent political developments cast doubt on the wisdom of democratic decision-making. Brexit, the Colombian people's (initial) rejection of peace with the FARC, and the election of Donald Trump suggest that the time is right to explore alternatives to democracy. In this essay, I describe and defend the epistocratic system of government which is, given current theoretical and empirical knowledge, most likely to produce optimal political outcomes—or at least better outcomes than democracy produces. To wit, we should expand the suffrage as (...) wide as possible and weight citizens’ votes in accordance with their competence. As it turns out, the optimal system is closely related to J. S. Mill's plural voting proposal. I also explain how voters’ competences can be precisely determined, without reference to an objective standard of correctness and without generating invidious comparisons between voters. (shrink)

The Condorcet Jury Theorem, along with empirical results, establishes the accuracy of majority voting in a broad range of conditions. Here we investigate whether naïve participants (in the U.S. and...

ABSTRACTReceived wisdom in most democracies is that voting should be seen as a political freedom that citizens have a right to exercise at their discretion. But I propose that we have a duty to vote, albeit a duty to vote well: with knowledge and a sense of impartiality. Fulfillment of this obligation would contribute to the epistemic advantages of democracy, and would thereby instantiate the duty to promote and support just institutions.

Political theorists have offered many accounts of collective decision-making under pluralism. I discuss a key dimension on which such accounts differ: the importance assigned not only to the choices made but also to the reasons underlying those choices. On that dimension, different accounts lie in between two extremes. The ‘minimal liberal account’ holds that collective decisions should be made only on practical actions or policies and that underlying reasons should be kept private. The ‘comprehensive deliberative account’ stresses the importance of (...) giving reasons for collective decisions, where such reasons should also be collectively decided. I compare these two accounts on the basis of a formal model developed in the growing literature on the ‘discursive dilemma’ and ‘judgment aggregation’ and address several questions: What is the trade-off between the (minimal liberal) demand for reaching agreement on outcomes and the (comprehensive deliberative) demand for reason-giving? How large should the ‘sphere of public reason’ be? When do the decision procedures suggested by the two accounts agree and when not? How good are these procedures at truthtracking on factual matters? What strategic incentives do they generate for decision-makers? My discussion identifies what is at stake in the choice between minimal liberal and comprehensive deliberative accounts of collective decisionmaking, and sheds light not only on these two ideal-typical accounts themselves, but also on many characteristics that intermediate accounts share with them. (shrink)

Consider the hypothesis H that a defendant is guilty, and the evidence E that a majority of h out of n independent jurors have voted for H and a minority of k:=n-h against H. How likely is the majority verdict to be correct? By a formula of Condorcet, the probability that H is true given E depends only on each juror's competence and on the absolute margin between the majority and the minority h-k, but neither on the number n, nor (...) on the proportion h/n. This paper reassesses that result and explores its implications. First, using the classical Condorcet jury model, I derive a more general version of Condorcet's formula, confirming the significance of the absolute margin, but showing that the probability that H is true given E depends also on an additional parameter: the prior probability that H is true. Second, I show that a related result holds when we consider not the degree of belief we attach to H given E, but the degree of support E gives to H. Third, I address the implications for the definition of special majority voting, a procedure used to capture the asymmetry between false positive and false negative decisions. I argue that the standard definition of special majority voting in terms of a required proportion of the jury is epistemically questionable, and that the classical Condorcet jury model leads to an alternative definition in terms of a required absolute margin between the majority and the minority. Finally, I show that the results on the significance of the absolute margin can be resisted if the so-called assumption of symmetrical juror competence is relaxed. (shrink)

In this paper, I introduce the emerging theory of judgment aggregation as a framework for studying institutional design in social epistemology. When a group or collective organization is given an epistemic task, its performance may depend on its ‘aggregation procedure’, i.e. its mechanism for aggregating the group members’ individual beliefs or judgments into corresponding collective beliefs or judgments endorsed by the group as a whole. I argue that a group’s aggregation procedure plays an important role in determining whether the group (...) can meet two challenges: the ‘rationality challenge’ and the ‘knowledge challenge’. The rationality challenge arises when a group is required to endorse consistent beliefs or judgments; the knowledge challenge arises when the group’s beliefs or judgments are required to track certain truths. My discussion seeks to identify those properties of an aggregation procedure that affect a group’s success at meeting each of the two challenges. (shrink)

This paper generalises the classical Condorcet jury theorem from majority voting over two options to plurality voting over multiple options. The paper further discusses the debate between epistemic and procedural democracy and situates its formal results in that debate. The paper finally compares a number of different social choice procedures for many-option choices in terms of their epistemic merits. An appendix explores the implications of some of the present mathematical results for the question of how probable majority cycles (as in (...) Condorcet's paradox) are in large electorates. (shrink)

ABSTRACTThe idea that the crowd could ever be intelligent is a counterintuitive one. Our modern, Western faith in experts and bureaucracies is rooted in the notion that political competence is the purview of the select few. Here, as in my book Democratic Reason, I defend the opposite view: that the diverse many are often smarter than a group of select elites because of the different cognitive tools, perspectives, heuristics, and knowledge they bring to political problem solving and prediction. In this (...) essay I defend my epistemic argument against proceduralist democrats; the value of model thinking against empiricists; the bracketing of fundamental value diversity against critics who see such diversity as an essential feature of politics; the intelligence of the masses in the face of voter ignorance and systematic biases; and the normative priority of democracy over market mechanisms. I also consider challenges to my use of Hong and Page's formal results, the epistemically proper selection method for representatives, and the role of deliberation in problem solving. I finally chart three avenues for further research. (shrink)

Suppose we have a persistent disagreement about a particular set of policy options, not because of an underlying moral disagreement, or a mere conflict of interest, but rather because we disagree about a crucial non-normative factual assumption underlying the justification of the policy choices. The main question in the paper is what political legitimacy requires in such cases, or indeed whether there are defensible answers to that question. The problem of political legitimacy in fact-dependent policy disagreements has received almost no (...) attention in political philosophy, which has focused mostly on value disagreements and proposed theories of legitimate coercive legislation in valuedependent disagreements. The paper presents an argument showing that under certain plausible assumptions regarding legitimacy, there are serious difficulties in identifying legitimate choices in fact-dependent policy disagreements. This may be unsurprising to political philosophers preoccupied with value-based disagreements, perhaps because it has been assumed that legitimacy-related concerns are irrelevant to fact-dependent policy disagreements. The paper argues that this response is premature. If we should care about legitimacy et al.l, then it is by no means clear why we should ignore issues of legitimacy in policy-disputes that depend on factual disagreements. The paper ends by defining a set of possibilities that merit further exploration in search of a theory of legitimacy in fact-dependent policy disagreements. (shrink)

According to the skeptical argument from disagreement, we are mandated to suspend judgement about a question if we discover that others disagree with us. Critics, however, have proposed that this skeptical argument fails if there are not equally many people on either side of the debate: numbers matter. The present paper explicates this as the argument that a group can be more likely to arrive at the correct view by majority rule than the members are on their own. Defenders of (...) the skeptical argument have resisted that numbers matter by observing that if group members depend on each other when forming their beliefs, then the group can be less competent than its members. However, neither side of the debate has accompanied their views with quantitative estimates of how detrimental dependence is for group competence. This paper tries to improve this situation by drawing on jury theorems from social choice theory. The paper cannot settle the debate, but it shows that even the lower limit on group competence will exceed the average individual competence when dependence among voters remains moderate. This should give confidence to those who propose that asymmetry between the disputing parties can counter the skeptical argument from disagreement since being in the majority can thus be higher-order evidence for the disputed proposition. (shrink)

“One who elects to serve mankind by taking the law into his own hands thereby demonstrates his conviction that his own ability to determine policy is superior to democratic decision making. [Defendants’] professed unselfish motivation, rather than a justification, actually identifies a form of arrogance which organized society cannot tolerate.” Those were the words of Justice Harris L. Hartz at the sentencing hearing of three nuns convicted of trespassing and vandalizing government property to demonstrate against U.S. foreign policy. Citizens engaging (...) in civil disobedience are indeed at times accused of being arrogant because they apparently think their own political judgment is superior to that of the democratic majority. This paper examines and evaluates the claim that dissenters are epistemically arrogant. Contrary to the dominant viewpoint in the literature, I argue that epistemic arrogance involves inflating the epistemic worth of one’s view. Indeed, the most plausible charge against civil dissenters consists of two claims: (A) civil dissenters have a higher degree of rational certainty in P than is warranted, and (B) civil dissenters use a method of expression that requires a higher level of rational certainty than is warranted in the propositions that their political view is right and the injustice they fight is substantial. I argue that civil disobedience does not necessarily involve epistemic arrogance. Whether an act of civil disobedience evinces epistemic arrogance has to be determined on a case-by-case basis depending on the extent to which each dissenter lives up to (A) and (B). (shrink)

Trial by jury is a fundamental feature of democratic governance. But what form should jury decision-making take? I argue against the status quo system in which juries are encouraged and even required to engage in group deliberation as a means to reaching a decision. Jury deliberation is problematic for both theoretical and empirical reasons. On the theoretical front, deliberation destroys the independence of jurors’ judgments that is needed for certain attractive theoretical results. On the empirical front, we have evidence from (...) both legal and non-legal contexts that group deliberation often leads to group judgments that are worse in a number of respects than judgments generated by non-interactional methods of judgment aggregation. Finally, I examine some possible alternatives to free-wheeling jury deliberation, including the constrained and structured deliberation embodied in the DELPHI method, voting, and averaging of probabilistic judgments. (shrink)

We often prefer non-deferential belief to deferential belief. In the last twenty years, epistemology has seen a surge of sympathetic interest in testimony as a source of knowledge. We are urged to abandon ‘epistemic individualism’ and the ideal of the ‘autonomous knower’ in favour of ‘social epistemology’. In this connection, you might think that a preference for non-deferential belief is a manifestation of vicious individualism, egotism, or egoism. I shall call this the selfishness challenge to preferring non-deferential belief. The aim (...) of this paper is to meet the selfishness challenge by arguing that non-deferential belief is socially valuable. (shrink)

Deliberation is a standard procedure to make decisions in not too large groups. It has the advantage that the group members can learn from each other and that, at the end, often a consensus emerges that everybody endorses. But a deliberation procedure also has a number of disadvantages. E.g., what consensus is reached usually depends on the order in which the different group members speak. More specifically, the group member who speaks first often has an unproportionally high impact on the (...) final decision: She anchors the deliberation process. While the anchoring effect undoubtably appears in real deliberating groups, we ask whether it also appears in groups whose members are truth-seeking and rational in the sense that they take the information provided by their fellow group members properly into account by updating their beliefs according to plausible rules. To answer this question and to make some progress towards explaining the anchoring effect, a formal model is constructed and analyzed. Using this model, we study the anchoring effect in homogenous groups, for which we provide analytical results, and in inhomogeneous groups, for which we provide simulation results. (shrink)