Three misrepresentations of informal and formal logic by two feminist writers are discussed. Andrea Nye's criticism that the semantics for formal logic abstracts from context is a misrepresentation of formal logic because Nye ignores the development of intensional logics. Second, Nye's criticism that informaIlogicians ignore the origins of arguments is a misrepresentation of fallacy theory. Prominent writers in the field specifiy numerous cases where the origins of an argument are relevant to its evaluation. Third, Valerie Plumwood's criticism that negation in (...) classical logic rests on an exclusivistic dualism that encourages the exclusion of women is shown to be false. (shrink)

The incompleteness problem for virtue ethics is inherited by a virtue-based theory of argumentation as developed by Daniel Cohen. A complete normative theory of argumentation should be able to provide reasons for why argumentative virtues such as open-mindedness are worthwhile, along with being able to resolve conflicts of such virtues. Adumbrating virtue-based argumentation theory with a pragmatic utilitarian approach constitutes a more complete theory that can account for why argumentative virtues are worthwhile.

Every university student has his or her nemesis. Biology and social science students anticipate with great apprehension their required statistics course, while many philosophy students live in fear of formal logic. Math anxiety is the common thread uniting all of them. This article argues that since formal logic is an algebra requiring similar kinds of symbol-manipulation skills needed to succeed in a basic mathematics course, then if logic students have math anxiety, this can impede their progress. Further, it argues that (...) math anxiety is primarily caused by and exacerbated by poor instruction. Formal logic instructors who employ effective instructional techniques for reducing it can help their students overcome math anxiety to foster learning. Methods of instruction leading to anxiety reduction and evidence supporting their efficacy are discussed, including co-operative learning, the mastery goal approach, and self-paced learning. None of these methods holds back more advanced students. (shrink)

I argue that the account of the epistemic modalities developed by Kripke and Putnam is incomplete since it does not make use of the possible worlds machinery that is indispensable to their analysis of the metaphysical modalities. It would have been simpler and more elegant if they had used the concept of 'possible world' to explain both modalities. Instead, they provide an explication of the epistemic modalities in terms of the vague concepts of conceivability and revisability. I show that logical (...) omniscience as a consequence of a possible worlds analysis of the epistemic modalities can be made palatable. (shrink)

David Lewis’s property-centered account of belief falls prey to the problem of egocentric omniscience: In self-ascribing the property of being an eye doctor, an agent is thereby self-ascribing the property of being an oculist. It is argued that the problem of egocentric omniscience can be made palatable for Lewis’s property-centered account of belief, at least for the case of linguistic beliefs. Roughly, my solution is as follows: An agent can believe that he or she has the property of being an (...) eye doctor/oculist under the description ‘eye doctor’ without believing that he or she has this property under the description ‘oculist’. Believing that one has a property P under a description D involves the additional self-ascription of the propositional property of inhabiting a world with respect to which that description denotes the property P. This is not the same sort of solution as the one proposed for singular beliefs by Nathan Salmon. Unlike Salmon’s account, belief on the account I am defending is regarded as a two place-relation rather than a three-place relation. Since, on Lewis’s account, self-ascriptive belief subsumes de dicto belief, my solution also sheds light on the problem of logical omniscience. (shrink)

David Lewis’s property-centered account of belief falls prey to the problem of egocentric omniscience: In self-ascribing the property of being an eye doctor, an agent is thereby self-ascribing the property of being an oculist. It is argued that the problem of egocentric omniscience can be made palatable for Lewis’s property-centered account of belief, at least for the case of linguistic beliefs. Roughly, my solution is as follows: An agent can believe that he or she has the property of being an (...) eye doctor/oculist under the description ‘eye doctor’ without believing that he or she has this property under the description ‘oculist’. Believing that one has a property P under a description D involves the additional self-ascription of the propositional property of inhabiting a world with respect to which that description denotes the property P. This is not the same sort of solution as the one proposed for singular beliefs by Nathan Salmon. Unlike Salmon’s account, belief on the account I am defending is regarded as a two place-relation rather than a three-place relation. Since, on Lewis’s account, self-ascriptive belief subsumes de dicto belief, my solution also sheds light on the problem of logical omniscience. (shrink)

This paper argues that deep disagreements stem from conflicting worldviews. In particular, I examine how recent moves in engineering education contribute to deep disagreement by inculcating stu-dents into valuing the environment as a key stakeholder in engineering design. However, some graduates who value the environment meet resistance from employers who hold a more traditional engineering worldview, which regards the environment as an externality. Clashing worldviews can, as Robert Fogelin posited, render rational resolution to argument impossible. Disputants must consider the emotional (...) and rhetorical as means to move toward productive ground for argument. I offer two moves from classical rhet-oric–making an exordium and invoking friendliness–as means to shift the frame of an argument and there-by possibly navigate a deep disagreement. (shrink)

According to one recent account, in the “preliberal epoch” before the seventeenth century people did not think of individuals “as possessing inalienable rights to anything — much less life, liberty, property, or even the pursuit of happiness.” The statement is not true, but it is excusable. Compared with the flood of writing on the classical rights theories of the early modern period, there has been only a thin trickle of work on medieval ideas concerning individual natural rights, or human rights (...) as we say nowadays, rights inhering in the human person as such. Some modern authors see the seventeenth-century rights theories as a radical departure from ancient and medieval ways of thought; they are content to explain the ideas of Hobbes and Locke and Pufendorf by reference to some aspect of the intellectual, political, or economic life of the seventeenth century itself. C. B. MacPherson, for instance, emphasizing economic factors, inaugurated a minor academic industry when he interpreted Locke's teaching that everyone had a property right in his own person as a reflection of the possessive individualism of early-modern capitalism. (shrink)

Almost every country today contains adherents of different religions and different secular conceptions of the good life. Is there any alternative to a power struggle among them, leading most probably to either civil war or repression? The argument of this book is that justice as impartiality offers a solution. According to the theory of justice as impartiality, principles of justice are those principles that provide a reasonable basis for the unforced assent of those subject to them. The object of this (...) book is to set the theory out, explain its rationale, and respond to a variety of criticism that have been made of it. As the second volume of his work-in-progress, A Treatise on Social Justice, this work lies at the heart of a thriving academic debate which the author has played a key role in shaping. (shrink)

Although the body has been the focus of much contemporary cultural theory, the models that are typically applied neglect the most salient characteristics of embodied existence—movement, affect, and sensation—in favor of concepts derived from linguistic theory. In _Parables for the Virtual_ Brian Massumi views the body and media such as television, film, and the Internet, as cultural formations that operate on multiple registers of sensation beyond the reach of the reading techniques founded on the standard rhetorical and semiotic models. (...) Renewing and assessing William James’s radical empiricism and Henri Bergson’s philosophy of perception through the filter of the post-war French philosophy of Deleuze, Guattari, and Foucault, Massumi links a cultural logic of variation to questions of movement, affect, and sensation. If such concepts are as fundamental as signs and significations, he argues, then a new set of theoretical issues appear, and with them potential new paths for the wedding of scientific and cultural theory. Replacing the traditional opposition of literal and figural with new distinctions between stasis and motion and between actual and virtual, _Parables for the Virtual _tackles related theoretical issues by applying them to cultural mediums as diverse as architecture, body art, the digital art of Stelarc, and Ronald Reagan’s acting career. The result is an intriguing combination of cultural theory, science, and philosophy that asserts itself in a crystalline and multi-faceted argument. _Parables for the Virtual_ will interest students and scholars of continental and Anglo-American philosophy, cultural studies, cognitive science, electronic art, digital culture, and chaos theory, as well as those concerned with the “science wars” and the relation between the humanities and the sciences in general. (shrink)

Intuitively, Gettier cases are instances of justified true beliefs that are not cases of knowledge. Should we therefore conclude that knowledge is not justified true belief? Only if we have reason to trust intuition here. But intuitions are unreliable in a wide range of cases. And it can be argued that the Gettier intuitions have a greater resemblance to unreliable intuitions than to reliable intuitions. Whats distinctive about the faulty intuitions, I argue, is that respecting them would mean abandoning a (...) simple, systematic and largely successful theory in favour of a complicated, disjunctive and idiosyncratic theory. So maybe respecting the Gettier intuitions was the wrong reaction, we should instead have been explaining why we are all so easily misled by these kinds of cases. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:How Old Are Modern Rights? On the Lockean Roots of Contemporary Human Rights DiscourseS. Adam SeagraveArguing for the proper placement of John Locke’s natural rights theory within intellectual history is a particularly high-stakes enterprise for historians of political thought and political theorists alike. This is due in large part to the fact that, as Brian Tierney notes in his recent study, it is “widely agreed that Locke’s work (...) was an important influence in the formation of modern liberal ideas, including ideas concerning rights.”1 Our understanding of Locke thus contributes to our reflective self-understanding as “modern liberals” (of one stripe or another) to an extent perhaps unequaled by any other thinker so far removed from our own time.As a result of the rare promise of studying Locke’s natural rights theory, there has been no shortage of scholarly attempts to determine its place in intellectual history on the basis of Locke’s own writings and their relation both to preceding and subsequent traditions and modes of thought. Although John Dunn had argued in his influential study that Locke’s political thought was too thoroughly steeped in theology to remain relevant in the contemporary context, this thesis has since been persuasively challenged (albeit in very different ways) by Simmons, Zuckert and Waldron, among others.2 Each of these scholars has contributed to an emerging agreement [End Page 305] that the thread of Locke’s natural rights theory may indeed be carried all the way up to current political and moral debates in some form or another. The precise length of this thread as it extends in the other historical direction has, however, remained a point of heated controversy. The scholarly literature on this issue may be broadly described in terms of a spectrum determined by two opposing emphases in understanding the relation of Locke’s natural rights theory to its medieval predecessors: a continuity emphasis and a discontinuity emphasis.On the discontinuity end of the spectrum stand those such as Michel Villey, Leo Strauss, C. B. Macpherson and, more recently, Michael Zuckert who argue for the existence of some sort of “Copernican moment” separating medieval natural rights theories from their modern counterparts.3 Whether this moment is identified with William of Ockham in the fourteenth century or Hobbes in the seventeenth century, these scholars tend to emphasize the distinctively “modern” character of Lockean natural rights theory and its significant departures from medieval modes of thought. According to many of the advocates of discontinuity, Lockean natural rights are not only “modern” in their political applications but also in their more profound meaning as foundations for morality, and particularly in their newly conceived relation to the concept of natural law.4The continuity end of the spectrum is, perhaps, more variegated, including scholars such as Tuck, Tierney, Tully, Oakley, Nederman, Coleman, and Swanson, among others.5 Despite their many important differences, [End Page 306] these scholars each focus upon the similarities between various elements or strains of medieval thought and modern natural rights theories rather than the differences between them. Insofar as the scholars on this end of the spectrum explicitly consider Locke’s natural rights theory, they tend to emphasize Locke’s intellectual debt to various preceding traditions and thinkers rather than his innovations upon them. Building explicitly upon the work of Tuck, Tierney and Tully, Janet Coleman finds “some extraordinarily Lockean moments” in the medieval thinkers John of Paris and Godefroid of Fontaines, and argues that Locke ought to be understood as contributing to this medieval tradition of thought rather than departing from it.6 Scott Swanson, in turn, builds upon Coleman’s scholarship in carefully connecting medieval understandings of the rights of subsistence and the principle of extreme necessity to Locke’s natural rights theory. Swanson initially goes even further than Coleman in asserting that “all of Locke’s celebrated doctrine is here [in John of Paris’s writings] offered in a nutshell” before concluding on the more moderate note, echoed by Cary Nederman, that Locke’s “application of natural rights of subsistence to politics” may indeed have been something “new under the sun.”7Brian Tierney, who has long been a prominent... (shrink)

Dogmatism is sometimes thought to be incompatible with Bayesian models of rational learning. I show that the best model for updating imprecise credences is compatible with dogmatism.

Kaplan (1989a) insists that natural languages do not contain displacing devices that operate on character—such displacing devices are called monsters. This thesis has recently faced various empirical challenges (e.g., Schlenker 2003; Anand and Nevins 2004). In this note, the thesis is challenged on grounds of a more theoretical nature. It is argued that the standard compositional semantics of variable binding employs monstrous operations. As a dramatic first example, Kaplan’s formal language, the Logic of Demonstratives, is shown to contain monsters. For (...) similar reasons, the orthodox lambda-calculus-based semantics for variable binding is argued to be monstrous. This technical point promises to provide some far-reaching implications for our understanding of semantic theory and content. The theoretical upshot of the discussion is at least threefold: (i) the Kaplanian thesis that “directly referential” terms are not shiftable/bindable is unmotivated, (ii) since monsters operate on something distinct from the assertoric content of their operands, we must distinguish ingredient sense from assertoric content (cf. Dummett 1973; Evans 1979; Stanley 1997), and (iii) since the case of variable binding provides a paradigm of semantic shift that differs from the other types, it is plausible to think that indexicals—which are standardly treated by means of the assignment function—might undergo the same kind of shift. (shrink)

Conciliatory theories of disagreement face a revenge problem; they cannot be coherently believed by one who thinks they have peers who are not conciliationists. I argue that this is a deep problem for conciliationism.

Many writers have held that in his later work, David Lewis adopted a theory of predicate meaning such that the meaning of a predicate is the most natural property that is (mostly) consistent with the way the predicate is used. That orthodox interpretation is shared by both supporters and critics of Lewis's theory of meaning, but it has recently been strongly criticised by Wolfgang Schwarz. In this paper, I accept many of Schwarze's criticisms of the orthodox interpretation, and add some (...) more. But I also argue that the orthodox interpretation has a grain of truth in it, and seeing that helps us appreciate the strength of Lewis's late theory of meaning. (shrink)

Some instances of right and wrongdoing appear to be of a distinctly collective kind. When, for example, one group commits genocide against another, the genocide is collective in the sense that the wrongness of genocide seems morally distinct from the aggregation of individual murders that make up the genocide. The problem, which I refer to as the problem of collective wrongs, is that it is unclear how to assign blame for distinctly collective wrongdoing to individual contributors when none of those (...) individual contributors is guilty of the wrongdoing in question. I offer Christopher Kutz’s Complicity Principle as an attractive starting point for solving the problem, and then argue that the principle ought to be expanded to include a broader and more appropriate range of cases. The view I ultimately defend is that individuals are blameworthy for collective harms insofar as they knowingly participate in those harms, and that said individuals remain blameworthy regardless of whether they succeed in making a causal contribution to those harms. (shrink)

Suppose a rational agent S has some evidence E that bears on p, and on that basis makes a judgment about p. For simplicity, we’ll normally assume that she judges that p, though we’re also interested in cases where the agent makes other judgments, such as that p is probable, or that p is well-supported by the evidence. We’ll also assume, again for simplicity, that the agent knows that E is the basis for her judgment. Finally, we’ll assume that the (...) judgment is a rational one to make, though we won’t assume the agent knows this. Indeed, whether the agent can always know that she’s making a rational judgment when in fact she is will be of central importance in some of the debates that follow. (shrink)

This book uses computer modeling to investigate trends in what is published in leading philosophy journals over the last century and a half. The notable trends include the rise of realism from a fringe view to the mainstream metaphysical outlook, the increase in specialization, and the increasing depth of integration between philosophy and physical sciences. It also contains a guide to how to do similar investigations, and discussions of the strengths and weaknesses of the approach.

As anyone who has flown out of a cloud knows, the boundaries of a cloud are a lot less sharp up close than they can appear on the ground. Even when it seems clearly true that there is one, sharply bounded, cloud up there, really there are thousands of water droplets that are neither determinately part of the cloud, nor determinately outside it. Consider any object that consists of the core of the cloud, plus an arbitrary selection of these droplets. (...) It will look like a cloud, and circumstances permitting rain like a cloud, and generally has as good a claim to be a cloud as any other object in that part of the sky. But we cannot say every such object is a cloud, else there would be millions of clouds where it seemed like there was one. And what holds for clouds holds for anything whose boundaries look less clear the closer you look at it. And that includes just about every kind of object we normally think about, including humans. Although this seems to be a merely technical puzzle, even a triviality, a surprising range of proposed solutions has emerged, many of them mutually inconsistent. It is not even settled whether a solution should come from metaphysics, or from philosophy of language, or from logic. Here we survey the options, and provide several links to the many topics related to the Problem. (shrink)

Timothy Williamson has recently argued that few mental states are luminous , meaning that to be in that state is to be in a position to know that you are in the state. His argument rests on the plausible principle that beliefs only count as knowledge if they are safely true. That is, any belief that could easily have been false is not a piece of knowledge. I argue that the form of the safety rule Williamson uses is inappropriate, and (...) the correct safety rule might not conflict with luminosity. (shrink)

More and more people would like to migrate, but find that every state places barriers in their way. At the same time, most governments not only permit but court foreign investment. Can this difference between the treatment of people and the treatment of money be justified? This book asks this question from the point of view of five different ethical perspectives: liberal egalitarianism, libertarianism, Marxism, natural law and political realism. -- FROM BOOK JACKET.

Abstract Utterances of counterfactual conditionals are typically attended by the information that their antecedents are false. But there is as yet no account of the source of this information that is both detailed and complete. This paper describes the problem of counterfactual antecedent falsity and argues that the problem can be addressed by appeal to an adequate account of the presuppositions of various competing conditional constructions. It argues that indicative conditionals presuppose that their antecedents are epistemically possible, while subjunctive conditionals (...) bear no presupposition. Given this arrangement, utterance of the counterfactual results in an antipresupposition, that is, a scalar implicature generated from the presuppositions of competing alternatives rather than from the at-issue content of competing alternatives. The content of the antipresupposition is the negation of the presupposition of the competing indicative, i.e., that the antecedent of the conditional is known to be false by the speaker. (shrink)

Color coded terror alerts, invasion, drone war, rampant surveillance: all manifestations of the type of new power Brian Massumi theorizes in _Ontopower_. Through an in-depth examination of the War on Terror and the culture of crisis, Massumi identifies the emergence of preemption, which he characterizes as the operative logic of our time. Security threats, regardless of the existence of credible intelligence, are now felt into reality. Whereas nations once waited for a clear and present danger to emerge before using (...) force, a threat's felt reality now demands launching a preemptive strike. Power refocuses on what _may_ emerge, as that potential presents itself to feeling. This affective logic of potential washes back from the war front to become the dominant mode of power on the home front as well. This is ontopower—the mode of power embodying the logic of preemption across the full spectrum of force, from the “hard” to the "soft". With _Ontopower_, Massumi provides an original theory of power that explains not only current practices of war but the culture of insecurity permeating our contemporary neoliberal condition. (shrink)

Gossip is often serious business, not idle chitchat. Gossip allows those oppressed to privately name their oppressors as a warning to others. Of course, gossip can be in error. The speaker may be lying or merely have lacked sufficient evidence. Bias can also make those who hear the gossip more or less likely to believe the gossip. By examining the social functions of gossip and considering the differences in power dynamics in which gossip can occur, we contend that gossip may (...) be not only permissible but virtuous, both as the only reasonable recourse available and as a means of resistance against oppression. (shrink)

What question are decision theorists trying to answer, and why is it worth trying to answer it? A lot of philosophers talk as if the aim of decision theory is to describe how we should make decisions, and the reason to do this is to help us make better decisions. I disagree on both fronts. The aim of the decision theory is to describe how a certain kind of idealised decider does in fact decide. And the reason to do this (...) is that this idealisation, like many other idealisations, helps generate explanations of real-world behaviour. We shouldn't do what these ideal deciders do, or try to be more like them, because a lot of what they do only makes sense because of the differences between us and them. Still, sometimes those differences are small enough that they can be ignored in explanations, and that's when decision theory is useful. (shrink)

Abstract:In 2015, we published an article entitled “The Medicalization of Love,” in which we argued that both good and bad consequences could be expected to follow from love’s medicalization, depending on how the process unfolded. A flurry of commentaries followed; here we offer some preliminary thoughts in reply to the more substantial of the criticisms that were raised. We focus in particular on the nature of love itself as well as the role it plays (or should play) in our lives; (...) we also touch on a number of practical issues concerning the likely effects of any plausible “real-life” love drugs and conclude with a call for careful regulation. (shrink)

Vagueness as Indeterminacy. I defend the traditional view that a vague term is one with an indeterminate denotation from a bevy of recent challenges.

What the world needs now is another theory of vagueness. Not because the old theories are useless. Quite the contrary, the old theories provide many of the materials we need to construct the truest theory of vagueness ever seen. The theory shall be similar in motivation to supervaluationism, but more akin to many-valued theories in conceptualisation. What I take from the many-valued theories is the idea that some sentences can be truer than others. But I say very different things to (...) the ordering over sentences this relation generates. I say it is not a linear ordering, so it cannot be represented by the real numbers. I also argue that since there is higher-order vagueness, any mapping between sentences and mathematical objects is bound to be inappropriate. This is no cause for regret; we can say all we want to say by using the comparative truer than without mapping it onto some mathematical objects. From supervaluationism I take the idea that we can keep classical logic without keeping the familiar bivalent semantics for classical logic. But my preservation of classical logic is more comprehensive than is normally permitted by supervaluationism, for I preserve classical inference rules as well as classical sequents. And I do this without relying on the concept of acceptable precisifications as an unexplained explainer. The world does not need another guide to varieties of theories of vagueness, especially since Timothy Williamson (1994) and Rosanna Keefe (2000) have already provided quite good guides. I assume throughout familiarity with popular theories of vagueness. (shrink)

We use data collected among Hadza hunter-gatherers between 2005 and 2009 to examine hypotheses about the causes and consequences of men’s foraging and food sharing. We find that Hadza men foraged for a range of food types, including fruit, honey, small animals, and large game. Large game were shared not like common goods, but in ways that significantly advantaged producers’ households. Food sharing and consumption data show that men channeled the foods they produced to their wives, children, and their consanguineal (...) and affinal kin living in other households. On average, single men brought food to camp on 28% of days, married men without children at home on 31% of days, and married men with children at home on 42% of days. Married men brought fruit, the least widely shared resource, to camp significantly more often than single men. A model of the relationship between hunting success and household food consumption indicates that the best hunters provided 3–4 times the amount of food to their families than median or poor hunters. These new data fill important gaps in our knowledge of the subsistence economy of the Hadza and uphold predictions derived from the household and kin provisioning hypotheses. Key evidence and assumptions backing prior claims that Hadza hunting is largely a form of status competition were not replicated in our study. In light of this, family provisioning is a more viable explanation for why good hunters are preferred as husbands and have higher fertility than others. (shrink)

Abstract Since their inception, distributional models of semantics have been criticized as inadequate cognitive theories of human semantic learning and representation. A principal challenge is that the representations derived by distributional models are purely symbolic and are not grounded in perception and action; this challenge has led many to favor feature-based models of semantic representation. We argue that the amount of perceptual and other semantic information that can be learned from purely distributional statistics has been underappreciated. We compare the representations (...) of three feature-based and nine distributional models using a semantic clustering task. Several distributional models demonstrated semantic clustering comparable with clustering-based on feature-based representations. Furthermore, when trained on child-directed speech, the same distributional models perform as well as sensorimotor-based feature representations of children’s lexical semantic knowledge. These results suggest that, to a large extent, information relevant for extracting semantic categories is redundantly coded in perceptual and linguistic experience. Detailed analyses of the semantic clusters of the feature-based and distributional models also reveal that the models make use of complementary cues to semantic organization from the two data streams. Rather than conceptualizing feature-based and distributional models as competing theories, we argue that future focus should be on understanding the cognitive mechanisms humans use to integrate the two sources. (shrink)

This paper contributes to the project of articulating and defending the supra-Bayesian approach to judgment aggregation. I discuss three cases where a person is disposed to defer to two different experts, and ask how they should respond when they learn about the opinion of each. The guiding principles are that this learning should go by conditionalisation, and that they should aim to update on the evidence that the expert had updated on. But this doesn’t settle how the update on pairs (...) of experts should go, because we also need to know how the experts are related. I work through three examples showing how the results change given different prior beliefs about this relationship. (shrink)

Uncertainty plays an important role in The General Theory, particularly in the theory of interest rates. Keynes did not provide a theory of uncertainty, but he did make some enlightening remarks about the direction he thought such a theory should take. I argue that some modern innovations in the theory of probability allow us to build a theory which captures these Keynesian insights. If this is the right theory, however, uncertainty cannot carry its weight in Keynes’s arguments. This does not (...) mean that the conclusions of these arguments are necessarily mistaken; in their best formulation they may succeed with merely an appeal to risk. (shrink)

Orthodox Bayesian decision theory requires an agent’s beliefs representable by a real-valued function, ideally a probability function. Many theorists have argued this is too restrictive; it can be perfectly reasonable to have indeterminate degrees of belief. So doxastic states are ideally representable by a set of probability functions. One consequence of this is that the expected value of a gamble will be imprecise. This paper looks at the attempts to extend Bayesian decision theory to deal with such cases, and concludes (...) that all proposals advanced thus far have been incoherent. A more modest, but coherent, alternative is proposed. Keywords: Imprecise probabilities, Arrow’s theorem. (shrink)