Dilation occurs when an interval probability estimate of some event E is properly included in the interval probability estimate of E conditional on every event F of some partition, which means that one’s initial estimate of E becomes less precise no matter how an experiment turns out. Critics maintain that dilation is a pathological feature of imprecise probability models, while others have thought the problem is with Bayesian updating. However, two points are often overlooked: (1) knowing that E is stochastically (...) independent of F (for all F in a partition of the underlying state space) is sufficient to avoid dilation, but (2) stochastic independence is not the only independence concept at play within imprecise probability models. In this paper we give a simple characterization of dilation formulated in terms of deviation from stochastic independence, propose a measure of dilation, and distinguish between proper and improper dilation. Through this we revisit the most sensational examples of dilation, which play up independence between dilator and dilatee, and find the sensationalism undermined by either fallacious reasoning with imprecise probabilities or improperly constructed imprecise probability models. (shrink)

Contemporary forms of Kantian constitutivism generally begin with a conception of agency on which the constitutive aim of agency is some form of autonomy or self-unification. This chapter argues for a re-orientation of the Kantian constitutivist project towards views that begin with a conception of rationality on which both theoretical and practical rationality aim at forms of understanding. In a slogan, then, understanding-first as opposed to autonomy-first constitutivism. Such a view gives the constitutivist new resources for explaining many classes of (...) reasons, while also offering a new way of understanding the unity of theoretical and practical reason. The chapter concludes by arguing that the resulting view is best understood, not so much as an alternative to autonomy-first constitutivism, but as a complement to it. (shrink)

In this article I offer an opinionated overview of the central elements of Kant’s philosophical methodology during the critical period. I begin with a brief characterization of how Kant conceives of the aims of human inquiry – focusing on the idea that inquiry ideally aims at not just cognition (Erkenntnis), but also the more demanding cognitive achievements that Kant labels insight (Einsehen) and comprehension (Begreifen). Then I explore the implications of this picture for philosophy — emphasizing Kant’s distinction between critical (...) and doctrinal phases of philosophical inquiry, with the first of these playing both a negative and a positive role with respect to the second. Then, I will argue that this positive role is possible, according to Kant, only insofar as philosophy follows what I call a “capacities-first” methodology – that is, one that treats basic cognitive capacities (such as reason) and their self-conscious activities as fundamental (in both a cognitive sense and in an explanatory sense) for the sort of philosophy human beings are capable of. It is this methodology, I will argue, that allows Kant to introduce the first principles that philosophy in its doctrinal phase requires in a manner that is neither arbitrary nor (at least obviously) incompatible with Kant’s own critical restrictions on cognition. I conclude by discussing some of the implications of this methodological picture – including the methodological significance of self-consciousness and regressive or “transcendental” arguments, Kant’s distinction between analytic and synthetic methods in philosophy, and Kant’s conception of reason as autonomous. (shrink)

In recent years, several philosophers - including Joshua Gert, Douglas Portmore, and Elizabeth Harman - have argued that there is a sense in which morality itself does not treat moral reasons as consistently overriding.2 My aim in the present essay is to develop and extend this idea from a somewhat different perspective. In doing so, I offer an alternative way of formalizing the idea that morality is modest about the weight of moral reasons in this way, thereby making more explicit (...) the connections between this thesis and similar issues in the epistemic sphere. In addition, I discuss how these ideas can transform our thinking about familiar questions in ethics such as the nature of self-effacement, the significance of reflective endorsement, the weight that moral reasons ought to be given in all things consideration, and the plausibility of “indirect” moral theories. Finally, I show that these ideas are compatible even with pictures of morality – such as Kant’s – on which morality might seem to anything but modest about its own importance. In doing so, I stress that it is possible to see morality as modest about the weight of specifically moral reasons, while also seeing all practical reasons as grounded in morality more indirectly – namely, by seeing morality as determining the weight that both moral and non-moral considerations deserve to have in all things considered deliberation. (shrink)

Over the last two decades, Kant’s name has become closely associated with the “constitutivist” program within metaethics. But is Kant best read as pursuing a constitutivist approach to meta- normative questions? And if so, in what sense? In this essay, I’ll argue that we can best answer these questions by considering them in the context of a broader issue – namely, how Kant understands the proper methodology for philosophy in general. The result of this investigation will be that, while Kant (...) can indeed be read as a sort of constitutivist, his constitutivism is ultimately just one instance of a much more general approach to philosophy – which treats as fundamental our basic, self-conscious rational capacities. Thus, to truly understand why and how Kant is a constitutivist, we need to consider this question within the context of his more fundamental commitment to “capacities-first philosophy”. (shrink)

A characterization result of dilation in terms of positive and negative association admits an extremal counterexample, which we present together with a minor repair of the result. Dilation may be asymmetric whereas covariation itself is symmetric. Dilation is still characterized in terms of positive and negative covariation, however, once the event to be dilated has been specified.

With respect to the topic of “powers and abilities,” most readers will associate David Hume with his multi-pronged critique of traditional attempts to make robust explanatory use of those notions in a philosophical or scientific context. But Hume’s own philosophy is also structured around the attribution to human beings of a variety of basic faculties or mental powers – such as the reason and the imagination, or the various powers involved in Hume’s account of im- pressions of reflection and the (...) passions. Indeed, there is a clear case to be made that, despite his deflationary account of our concept of power, Hume continues to treat certain basic powers or faculties as forming the explanatory bedrock for his new “science of man”. In this essay, I will discuss how this apparent conflict between the “critical” (if not outright skeptical) and “constructive” aspects of Hume’s discussion of powers and abilities is best resolved – with special attention to the question of how this illuminates Hume’s place in the development of early modern conceptions of the proper method for philosophy. (shrink)

Many have begun to despair that climate justice will prevail even in a minimal form. The affective dimensions of such despair, we suggest, threaten to make climate action appear too demanding. Thus, despair constitutes a moral challenge to individual climate action that has not yet received adequate attention. In response, we defend a duty to act in hope for a more just (climate) future. However, as we see it, this duty falls differentially upon the shoulders of more and less advantaged (...) agents in society. From arguments by Black thinkers like Derrick Bell, we draw a set of distinctions between two types of hope: one for ideal justice, and one for more modest change; and between two types of hopeful actions, those undertaken through formal political channels and those we call 'extra-political' actions; and between two sites of differential moral burdens, those of the privileged and those of the oppressed. Ours is a case for facing even bleak realities, demanding otherwise, and acting in hope to achieve a better future. (shrink)

In this essay, I will outline a novel strategy for using constitutivist ideas from Kantian metaethics to critique social practices and institutions. In doing so, I do not mean to defend this model of critique as the only viable form of social and political critique, even within a Kantian framework – nor, indeed, as always the most appropriate. But I hope to show that it provides us with a form of critique that allows us to (i) develop a robust critique (...) of many social practices (ii) on both epistemic and practical grounds, while nonetheless (iii) beginning from a perspective that is, in some sense, internal – or better, immanent – to the practice in question. Thus, if we are looking for a form of social critique that is neither purely epistemic nor merely external – which, in other words, allows us to critique social practices on something like their own terms as practically irrational – this method should be attractive for philosophers with Kantian (or post-Kantian) sympathies. At the heart of this conception of critique lies in the idea that social practices may be thought of as attempts at (some form of) collective practical understanding. As I will explain more below, this way of thinking about the rationality of social practices may be seen as the product of applying a general (post-Kantian) model of rationality, which I have developed elsewhere, to the rationality of social collectives or practices. (shrink)

This article reports the findings of AI4People, an Atomium—EISMD initiative designed to lay the foundations for a “Good AI Society”. We introduce the core opportunities and risks of AI for society; present a synthesis of five ethical principles that should undergird its development and adoption; and offer 20 concrete recommendations—to assess, to develop, to incentivise, and to support good AI—which in some cases may be undertaken directly by national or supranational policy makers, while in others may be led by other (...) stakeholders. If adopted, these recommendations would serve as a firm foundation for the establishment of a Good AI Society. (shrink)

I am grateful to Donald Ainslie, Lisa Austin, Michael Blake, Abraham Drassinower, David Dyzenhaus, George Fletcher, Robert Gibbs, Louis-Philippe Hodgson, Sari Kisilevsky, Dennis Klimchuk, Christopher Morris, Scott Shapiro, Horacio Spector, Sergio Tenenbaum, Malcolm Thorburn, Ernest Weinrib, Karen Weisman, and the Editors of Philosophy & Public Affairs for comments, and audiences in the UCLA Philosophy Department and Columbia Law School for their questions.

In in this paper, I make use of an “doxastic planning model” of epistemic evaluation to argue for a form of epistemic internalism. In doing so, I begin by responding to a recent argument of Schoenfield’s against my previous attempt to develop such an argument. In doing so, I distinguish a variety of ways that argument might be understood, and discuss how both internalists and externalists might make use of the ideas within it. Then I argue that, despite these complexities, (...) the doxastic planning model continues to support a modest form of epistemic internalism. I conclude by showing that, far from conflicting with “anti-luminosity” arguments in epistemology, this form of internalism is best understood as a natural reaction to these arguments. (shrink)

There is a remarkable trend in contemporary environmentalism that emphasizes ‘accepting responsibility’ for the natural world in contrast to outdated preservationist thinking that shirks such responsibility. This approach is often explained and justified by reference to the anthropocene: this fundamentally new epoch—defined by human domination—requires active human intervention to avert planetary catastrophe. However, in this paper, I suggest this rhetoric encourages a flight from history. This often jubilant, sometimes anxious, yearning for unprecedented human innovation and—ultimately—control in our new millennia mirrors (...) the Futurist movement that took off near the beginning of the last century. Despite the significant differences in the details of how academics have defended this twenty-first-century environmental outlook, they all represent the true flight from history; they too quickly jettison the ideas of historical environmentalists and so misunderstand the environmental values at the heart of preservation that are more salient than ever. (shrink)

The computational paradigm, which has dominated psychology and artificial intelligence since the cognitive revolution, has been a source of intense debate. Recently, several cognitive scientists have argued against this paradigm, not by objecting to computation, but rather by objecting to the notion of representation. Our analysis of these objections reveals that it is not the notion of representation per se that is causing the problem, but rather specific properties of representations as they are used in various psychological theories. Our analysis (...) suggests that all theorists accept the idea that cognitive processing involves internal information-carrying states that mediate cognitive processing. These mediating states are a superordinate category of representations. We discuss five properties that can be added to mediating states and examine their importance in various cognitive models. Finally, three methodological lessons are drawn from our analysis and discussion. (shrink)

In this paper, I first present an overview of Asay’s _A Theory of Truthmaking_, highlighting what I take to be some of its most attractive features, especially his re-invigoration of the ontological understanding of truthmaking and his defence of ontology-first truthmaking over explanation-first truthmaking. Then, I articulate what I take to be a puzzling potential inconsistency: (a) he appeals to considerations to do with aboutness in criticising how well ontological views account for truth while (b) ruling out aboutness from the (...) right account of truthmaking. He argues, instead, that necessitation is both necessary and sufficient for truthmaking (§3.3). I suggest that adding aboutness to one’s account in the right way is not just compatible with but important for ontology-first truthmaking. I do all this to invite Asay to clarify his position on these matters. Overall, Asay’s worldview displays the fruitfulness of an ontologically serious approach to metaphysics that puts truthmaking centre-stage. (shrink)

In this essay, I distinguish two different epistemological strategies an anti-realist might pursue in developing an "evolutionary debunking" of moral realism. Then I argue that a moral realist can resist both of these strategies by calling into question the epistemological presuppositions on which they rest. Nonetheless, I conclude that these arguments point to a legitimate source of dissatisfaction about many forms of moral realism. I conclude by discussing the way forward that these conclusions indicate.

We expound an alternative to the Copenhagen interpretation of the formalism of nonrelativistic quantum mechanics. The basic difference is that the new interpretation is formulated in the language of epistemological realism. It involves a change in some basic physical concepts. The ψ function is no longer interpreted as a probability amplitude of the observed behaviour of elementary particles but as an objective physical field representing the particles themselves. The particles are thus extended objects whose extension varies in time according to (...) the variation of ψ. They are considered as fundamental regions of space with some kind of nonlocality. Special consideration is given to the Heisenberg relations, the Einstein-Podolsky- Rosen correlations, the reduction process, the problem of measurement, and the quantum-statistical distributions. (shrink)

The focus of this chapter will be Kant’s understanding of Hume, and its impact on Kant’s critical philosophy. Contrary to the traditional reading of this relationship, which focuses on Kant’s (admittedly real) dissatisfaction with Hume’s account of causation, my discussion will focus on broader issues of philosophical methodology. Following a number of recent interpreters, I will argue that Kant sees Hume as raising, in a particularly forceful fashion, a ‘demarcation challenge’ concerning how to distinguish the legitimate use of reason in (...) (say) natural scientific contexts from the illegitimate use of it in (say) dogmatic metaphysics. I will then go on to argue that Kant sees Hume’s tendency to slide into more radical forms of skepticism as a symptom of his failure to provide a systematic or principled account of this distinction. This failure, I argue, can be traced (according to Kant) to Hume’s impoverished, non-hylomorphic account of our faculties – which both robs Hume of the materials necessary to construct a genuinely systematic philosophy as Kant understands this, and makes it impossible for Hume to clearly conceive of what Kant calls ‘Formal Idealism.’ In this way, the failings of Hume’s account of causation are (for Kant) symptoms of more fundamental limitations within Hume’s philosophy. I close by briefly discussing the similarities between Hume and Kant’s understanding of the relationship between, first, philosophical methodology and, second, the nature of our faculties. (shrink)

In "De l’Allemagne", Mme de Staël develops a sophisticated philosophical psychology that centers not on reason, but imagination. She does this by bringing French Enlightenment philosophy, particularly Rousseau and Diderot, into dialogue with German thinkers, including Kant and Herder. For Mme de Staël, imagination transcends the epistemic limits of sensibility and reason by incorporating sentiment.

Determinism is established in quantum mechanics by tracing the probabilities in the Born rules back to the absolute (overall) phase constants of the wave functions and recognizing these phase constants as pseudorandom numbers. The reduction process (collapse) is independent of measurement. It occurs when two wavepackets overlap in ordinary space and satisfy a certain criterion, which depends on the phase constants of both wavepackets. Reduction means contraction of the wavepackets to the place of overlap. The measurement apparatus fans out the (...) incoming wavepacket into spatially separated eigenpackets of the chosen observable. When one of these eigenpackets together with a wavepacket located in the apparatus satisfy the criterion, the reduction associates the place of contraction with an eigenvalue of the observable. The theory is nonlocal and contextual. Keywords:. (shrink)

The spin-statistics connection is derived in a simple manner under the postulates that the original and the exchange wave functions are simply added, and that the azimuthal phase angle, which defines the orientation of the spin part of each single-particle spin-component eigenfunction in the plane normal to the spin-quantization axis, is exchanged along with the other parameters. The spin factor (−1)2s belongs to the exchange wave function when this function is constructed so as to get the spinor ambiguity under control. (...) This is achieved by effecting the exchange of the azimuthal angle by means of rotations and admitting only rotations in one sense. The procedure works in Galilean as well as in Lorentz-invariant quantum mechanics. Relativistic quantum field theory is not required. (shrink)

Withdrawal involves emotional pain that motivates much addictive behavior. In this paper, I argue that the emotional pain of withdrawal compels much addictive behavior. Researchers have noticed this possibility but it is widely underappreciated. Among philosophers, only Hanna Pickard has discussed emotional compulsion in addiction, and the emotional aspect of withdrawal has been almost completely neglected. Accounts of emotional compulsion in the philosophical literature (from Tappolet, Elster, and Furrow) probably do not capture how the distress of withdrawal compels, so I (...) propose a more suitable account of “pathodoxastic” compulsion in addiction. On this account, the emotional pain of withdrawal compels when it undermines the ability to believe that one can continue to endure it, and therefore the ability to intend abstinence. (shrink)

A central tenet of truthmaker theory is that necessitation is necessary for truthmaking (NEC). This paper defends NEC in a novel, piecemeal way, namely by responding to a potential counterexample involving a changing past. If Carter won a race at t1 but is later disqualified at t2, then Carter no longer won at t1. A wholly past event seems to have changed in the future. The event makes ‘Carter won the race at t1’ (RACE) true between t1‐2 but fails to (...) make it true at t2. So, we have a potential counterexample to necessitation: a truthmaker of RACE fails in another context to make the same truthbearer RACE true. I argue that the best solution to this challenge is not that there are different truthbearers at t1‐2 and t2 (the semantic response), or that RACE was never true because of the future disqualification or will always be true despite the future disqualification. The best solution is to accept that the past can change: past events can change based on what happens in the future (e.g., via their effects). This paper's novel defence of necessitation will illustrate the importance of utilising explicitly ontological and commonsensical tools in accounting for truth. (shrink)

The present narrative review seeks to unravel where we are now, and where we need to go to delineate the active ingredients in psychotherapy delivered by conversational agents (e.g., chatbots). While psychotherapy delivered by conversational agents has shown promising effectiveness for depression, anxiety, and psychological distress across several randomized controlled trials, little emphasis has been placed on the therapeutic processes in these interventions. The theoretical framework of this narrative review is grounded in prominent perspectives on the active ingredients in psychotherapy. (...) Based on search terms derived from various theoretical perspectives, we conducted a systematic literature search of four scientific databases and identified 17 studies. Across the selected studies, three themes emerged: relationship variables, emotional venting, and cognitive factors. While methodological issues compromise the epistemic value of this evidence base, core questions also remain to be answered. Such questions include, but are not limited to, whether humans can form affectionate bonds to inanimate beings and whether these kind of mental health treatments should be understood as psychotherapy or something else. Researchers should therefore be cautious when applying theories of psychotherapy in the realm of conversational agents. We conclude the paper by introducing recommendations for future research, which we hope will help instigate methodologically sound studies in this field. (shrink)

A scholar of Hellenistic and Prussian history, Droysen developed a historical theory that at the time was unprecedented in range and depth, and which remains to the present day a valuable key for understanding history as both an idea and a professional practice. Arthur Alfaix Assis interprets Droysen’s theoretical project as an attempt to redefine the function of historiography within the context of a rising criticism of exemplar theories of history, and focuses on Droysen’s claim that the goal underlying (...) historical writing and reading should be the development of the subjective capacity to think historically. In addition, Assis examines the connections and disconnections between Droysen’s theory of historical thinking, his practice of historical thought, and his political activism. Ultimately, Assis not only shows how Droysen helped reinvent the relationship between historical knowledge and human agency, but also traces some of the contradictions and limitations inherent to that project. (shrink)

Since W. B. Gallie introduced the notion of essentially contested concepts (ECCs) in 1956, social science scholars have increasingly used his framework to analyze key concepts drawing “endless disputes” from contestant users. Despite its merits, the ECC framework has been limited by a neglect of social, cultural, and political contexts, the invisibility of actors, and its ahistorical character. To understand how ECCs evolve and change over time, I use a conceptual history approach to study the concept of philanthropy, recently labeled (...) as an ECC. Using France during classical modernity as a case study, I analyze key events and actors from the concept’s inception in 1712 as a virtue of the Enlightenment to its triumph after 1789 as a secular alternative to Catholic charity, until its decline at the end of the nineteenth century as a new consensus emerged around the concept of solidarity. By introducing the notion of historically contested concepts, I make several contributions to research on ECCs, conceptual contestation, and conceptual change. (shrink)

The European Medical Information Framework project, funded through the IMI programme, has designed and implemented a federated platform to connect health data from a variety of sources across Europe, to facilitate large scale clinical and life sciences research. It enables approved users to analyse securely multiple, diverse, data via a single portal, thereby mediating research opportunities across a large quantity of research data. EMIF developed a code of practice to ensure the privacy protection of data subjects, protect the interests of (...) data sharing parties, comply with legislation and various organisational policies on data protection, uphold best practices in the protection of personal privacy and information governance, and eventually promote these best practices more widely. EMIF convened an Ethics Advisory Board, to provide feedback on its approach, platform, and the EcoP. The most important challenges the ECoP team faced were: how to define, control and monitor the purposes for which federated health data are used; the kinds of organisation that should be permitted to conduct permitted research; and how to monitor this. This manuscript explores those issues, offering the combined insights of the EAB and EMIF core ECoP team. For some issues, a consensus on how to approach them is proposed. For other issues, a singular approach may be premature but the challenges are summarised to help the community to debate the topic further. Arguably, the issues and their analyses have application beyond EMIF, to many research infrastructures connected to health data sources. (shrink)

There is no paradox with Schrödinger’s cat in a realist interpretation. In particular, a closer look at the temporal aspect shows that the two macroscopic wave functions (alive and dead) of Schrödinger’s cat are not to be compared with two superposed parts of a microscopic quantum wave function.

Why microscopic objects exhibit wave properties (are delocalized), but macroscopic do not (are localized)? Traditional quantum mechanics attributes wave properties to all objects. When complemented with a deterministic collapse model (Quantum Stud.: Math. Found. 3, 279 (2016)) quantum mechanics can dissolve the discrepancy. Collapse in this model means contraction and occurs when the object gets in touch with other objects and satisfies a certain criterion. One single collapse usually does not suffice for localization. But the object rapidly gets in touch (...) with other objects in a short time, leading to rapid localization. Decoherence is not involved. (shrink)

The perceptual symbol system view assumes that perceptual representations have a role-argument structure. A role-argument structure is often incorporated into amodal symbol systems in order to explain conceptual functions like abstraction and rule use. The power of perceptual symbol systems to support conceptual functions is likewise rooted in its use of structure. On Barsalou's account, this capacity to use structure (in the form of frames) must be innate.

We present an alternative to the Copenhagen interpretation of the formalism of nonrelativistic quantum mechanics. The basic difference is that the new inter- pretation is formulated in the language of epistemological realism. It involves a change in some basic physical concepts. Elementary particles are considered as extended objects and nonlocal effects are included. The role of the new concepts in the problems of measurement and of the Einstein-Podolsky-Rosen correlations is described. Experiments to distinguish the proposed interpretation from the Copenhagen one (...) are pointed out. (shrink)

Advocates of dynamic systems have suggested that higher mental processes are based on continuous representations. In order to evaluate this claim, we first define the concept of representation, and rigorously distinguish between discrete representations and continuous representations. We also explore two important bases of representational content. Then, we present seven arguments that discrete representations are necessary for any system that must discriminate between two or more states. It follows that higher mental processes require discrete representations. We also argue that discrete (...) representations are more influenced by conceptual role than continuous representations. We end by arguing that the presence of discrete representations in cognitive systems entails that computationalism (i.e., the view that the mind is a computational device) is true, and that cognitive science should embrace representational pluralism. (shrink)

We present a game mechanic called pseudo-visibility for games inhabited by non-player characters (NPCs) driven by reinforcement learning (RL). NPCs are incentivized to pretend they cannot see pseudo-visible players: the training environment simulates an NPC to determine how the NPC would act if the pseudo-visible player were invisible, and penalizes the NPC for acting differently. NPCs are thereby trained to selectively ignore pseudo-visible players, except when they judge that the reaction penalty is an acceptable tradeoff (e.g., a guard might accept (...) the penalty in order to protect a treasure because losing the treasure would hurt even more). We describe an RL agent transformation which allows RL agents that would not otherwise do so to perform some limited self-reflection to learn the training environments in question. (shrink)

At the end of the 19th century, most professional historians – wherever they existed – deemed history to be a form of knowledge ruled by a method that bears no resemblance with those most commonly traceable in the natural sciences. The bulk of the historian’s task was then frequently regarded as being the application of procedures frequently referred to as ‘historical method’. In the context of such an emerging interest on historical methods and methodology, at least three textbooks stand out: (...) Johann Gustav Droysen’s Grundriss der Historik (Outline of the Theory of History), Ernst Bernheim’s Lehrbuch der historischen Methode (Handbook of Historical Method), and Charles Langlois and Charles Seignobos’s Introduction aux études historiques (Introduction to the Study of History). These books were quite influential in Germany, France, and elsewhere, and they very much helped promote a general idea of historical method that would become relatively consensual among historians of many nationalities by the early 20th century. Such a relative agreement on historical method sponsored both the communication and the development of a sense of disciplinary identity among historians trained within different and sometimes conflicting national traditions. It was then partially extended, partially challenged, and surely made more complex when, from the 1920s on, social and economic historians became a good part of the historiographical establishment in many countries. -/- The three books by Droysen, Bernheim, and Langlois and Seignobos were already pieced together by Rolf Torstendahl, who studied them as a group of texts that, despite their differences, contributed to shape the developments outlined above. However, Torstendahl’s primary aim was to show how Droysen, Bernheim, and Seignobos all resorted to ‘method’ as a way to circumvent skepticism against the possibility of historical knowledge, rather than investigate the internal interrelationships between the three texts. In this chapter I follow precisely this latter, not yet taken, road, focusing on crucial cross-references between the Grundriss, the Lehrbuch, and the Introduction. I intend to show that, at a general level, the schemes of historical method found in these texts are largely convergent, and that this convergence is due to Bernheim’s reading of Droysen and to Langlois and Seignobos’s reading of Bernheim. I will attempt to do it through a regressive approach that starts with an analysis of the Introduction. Aspects of the editorial history and circulation of the three texts will also be briefly addressed, as a way to illustrate their special importance within the framework of early 20th century historical theory. Because my argument calls for a focus on the most general lines of Droysen’s, Bernheim’s, and Langlois and Seignobos’s schemes of historical method, I will, for the sake of consistency, refrain from analysing in-depth the complex epistemological and ontological arguments in which those schemes are nested. (shrink)

We introduce an independence notion for choice functions, which we call ‘epistemic independence’ following the work by De Cooman et al. [17] for lower previsions, and study it in a multivariate setting. This work is a continuation of earlier work of one of the authors [29], and our results build on the characterization of choice functions in terms of sets of binary preferences recently established by De Bock and De Cooman [11]. We obtain the many-to-one independent natural extension in this (...) framework. Given the generality of choice functions, our expression for the independent natural extension is the most general one we are aware of, and we show how it implies the independent natural extension for sets of desirable gambles, and therefore also for less expressive imprecise-probabilistic models. Once this is in place, we compare this concept of epistemic independence to another independence concept for choice functions proposed by Seidenfeld [28], which De Bock and De Cooman [2] have called S-independence. We show that neither is more general than the other. (shrink)

A fundamental question asked in modal logic is whether a given theory is consistent. But consistent with what? A typical way to address this question identifies a choice of background knowledge axioms (say, S4, D, etc.) and then shows the assumptions codified by the theory in question to be consistent with those background axioms. But determining the specific choice and division of background axioms is, at least sometimes, little more than tradition. This paper introduces generic theories for propositional modal logic (...) to address consistency results in a more robust way. As building blocks for background knowledge, generic theories provide a standard for categorical determinations of consistency. We argue that the results and methods of this paper help to elucidate problems in epistemology and enjoy sufficient scope and power to have purchase on problems bearing on modalities in judgement, inference, and decision making. (shrink)

What is history about? This Element shows that answers centred on the keyword 'past events' are incomplete, even if they are not simply wrong. Interweaving theoretical and historical perspectives, it provides an abstract overview of the thematic plurality that characterizes contemporary academic historiography. The reflection on different sorts of pasts that can be at focus in historical research and writing encompasses events as well as non-events, especially recursive social structures and cultural webs. Some consequences of such plurality for discussions concerning (...) historical methodology, explanation, exemplification, and representation are also outlined. The basic message, reinforced throughout, is that the great relevance of non-event-centred approaches should prompt us to talk more about “histories” in the plural and less about “history” in the singular. (shrink)

In recent years, semiotics has become an innovative theoretical framework in mathematics education. The purpose of this article is to show that semiotics can be used to explain learning as a process of experimenting with and communicating about one's own representations of mathematical problems. As a paradigmatic example, we apply a Peircean semiotic framework to answer the question of how students learned the concept of "distribution" in a statistics course by "diagrammatic reasoning" and by developing "hypostatic abstractions," that is by (...) forming new mathematical objects which can be used as means for communication and further reasoning. Peirce's semiotic terminology is used as an alternative for notions such as modeling, symbolizing, and reification. We will show that it is a precise instrument of analysis with regard to the complexity of learning and of communication in mathematics classroom. (shrink)

We study the representation of sets of desirable gambles by sets of probability mass functions. Sets of desirable gambles are a very general uncertainty model, that may be non-Archimedean, and therefore not representable by a set of probability mass functions. Recently, Cozman (2018) has shown that imposing the additional requirement of even convexity on sets of desirable gambles guarantees that they are representable by a set of probability mass functions. Already more that 20 years earlier, Seidenfeld et al. (1995) gave (...) an axiomatisation of binary preferences—on horse lotteries, rather than on gambles—that also leads to a unique representation in terms of sets of probability mass functions. To reach this goal, they use two devices, which we will call ‘SSK–Archimedeanity’ and ‘SSK–extension’. In this paper, we will make the arguments of Seidenfeld et al. (1995) explicit in the language of gambles, and show how their ideas imply even convexity and allow for conservative reasoning with evenly convex sets of desirable gambles, by deriving an equivalence between the SSK–Archimedean natural extension, the SSK–extension, and the evenly convex natural extension. (shrink)

For a long time philosophers have struggled to reach a definition of knowledge that is fully satisfactory from an intuitive standard. However, what could be so fuzzy about the concept of knowledge that it makes our intuitions to not obviously support a single analysis? One particular approach from a naturalistic perspective treats this question from the point of view of the psychology of concepts. According to it, this failure is explained by the structure of our folk concept of knowledge, which (...) organizes its constitutive information in a much looser way than we assume when we rely on intuitive knowledge ascriptions. I will adopt the same starting point here, but argue against the proposed answer and defend the view that this difficulty is explained not by something related to the specific structure of our concept of knowledge but, on the contrary, by its lack of structure. I claim that our folk concept of knowledge should be understood as a primitive mental state concept. (shrink)

Trata-se de um trabalho de natureza didática cujo propósito é introduzir o leitor à teoria da história de Jörn Rüsen. O texto inicia-se com uma introdução que situa este autor no contexto do desenvolvimento histórico da disciplina “teoria da história. Está dividido em três capítulos, nos quais os cinco componentes da sua “matriz disciplinar da ciência histórica são apresentados e discutidos, a saber (1) as carências de orientação e funções orientativas; (2) perspectivas diretoras da interpretação histórica e métodos de pesquisa (...) empírica; e (3) as formas de apresentação histórica. O trabalho finaliza-se com uma lista bibliográfica, da qual constam os títulos mais importantes de Rüsen, bem como uma série de comentários à sua teoria da história. (shrink)

This is the first book-length attempt to find the answer, by one author, since Sartre in his 1948 book with the same title.