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 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)

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)

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)

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)

Throughout Alexandre Herculano’s historical oeuvre claims of impartiality are mingled with the partiality of the beliefs, ideals, and interests that give shape to the author’s point of view. One can trace in it both the commitment to the disinterested search for truth and the pragmatic intention to remodel the relations of Portuguese society with its past and with the effects of this past on the present. This text revisits Herculano’s major historical writings with the aim of understanding how it is (...) possible for historical texts to be or claim to be at the same time true and useful, objective and engaged, impartial and partial. I intend to show that those oppositions not necessarily entail paralyzing contradictions, and that good historians such as Herculano are usually capable of drawing from them a great amount of intellectual energy. Focusing on the tension between impartiality and partiality, and supported by close readings and contextual analyses, I will try to demonstrate that such tension configures itself in at least two different modes, which in turn depend on the positive or negative significance the studied past turns out to have for the person who studies it. (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.

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)

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)

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)

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)

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 "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.

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)

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)

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)

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)

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)

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)

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)

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)

The text addresses conceptions of human selfhood and humankind as developed by two major nineteenth-century German-speaking historians, Johann Gustav Droysen and Jacob Burckhardt. It aims at ascertaining to what extent the historical anthropologies proposed by both authors can be considered to be humanistic. We will attempt to provide an answer to this question while locating and discussing both humanistic and anti-humanistic features in their texts. Humanism is understood here as a perspective that emerged within the framework of the philosophy of (...) the Enlightenment, for example, in Immanuel Kant's ethics and in Friedrich Niethammer's pedagogy. On the one hand, we will define Droysen's and Burckhardt's anthropologies as humanistic, stressing their intellectual connection to the universalistic notions of humankind and human nature developed in the late eighteenth-century. On the other, we will relativize this predicament by exploring their main anti-humanistic traits, i.e. nationalism, with regard to Droysen, and aestheticism, in the case of Burckhardt. (shrink)

Ideas will always resist single-statement definitions, but in a rough attempt at generalization one can say that they either play or are attributed a very special role in thinking and expressive processes, in perhaps all domains of human culture. People who specialize in creating, receiving, transforming, and disseminating them are usually called “intellectuals”—even if they do not monopolize those social practices. The constitution and circulation of ideas as structures of thinking and expression, the settings in which they originate and to (...) which they respond, the material supports in which they are conveyed as well as the intellectual agents specialized in dealing with them are studied by the history of ideas and its neighboring fields. These include intellectual history, history of concepts, histoire des mentalités, Geistesgeschichte, history of books, and even cultural history, sociology of knowledge, and the histories of science, philosophy, literature, and the humanities. As it is obvious, such labels do not support a clear-cut division of labor, nor can they be lined up in an organogram that would fix constant hierarchical relations between them. They show up with incommensurable frequency, displaying different connotations within different academic cultures. This explains why in some cases—as in Geistesgeschichte, Begriffsgeschichte, or histoire des mentalités—equivalent English terms are considered problematic or unnecessary. Having flourished, spread, and sometimes also decayed within different national, disciplinary, and generational contexts, the fields designated by them can only have intricate and overlapping limits. A good way to understand the traditions connected to the history of ideas is hence to look closely to their messy border zones. The closest and most intricate connections are those between “history of ideas” and “intellectual history,” which is reflected in the fact that these terms are often employed interchangeably—a use that will be noted also in the remainder of the present text. Even so, “intellectual history” clearly emerged as preferential designation in the English-speaking world in the final decades of the twentieth century. A reason for this is the spread of the suspicion that “ideas” are burdened by essentialist traits that would render us insensitive to historical discontinuity. The notion of ideas is also sometimes regarded as much too oblivious of the way language conditions thought, and accordingly some analysts suggest that it would be out of line with the best theoretical intelligence established since the so-called linguistic turn (see Kelley 2002a: 310–14). However, others claim that ideas should not be equaled to expressed words, as they refer to occurrences that are best described with psychological terms such as beliefs and attitudes, and, further, that there would be non-essentialist ways of addressing them . What seems more uncontroversial is that, in comparison to “history of ideas,” “intellectual history” opens up an enlarged space of ambivalence as regards the analytical focus, which can then toggle from intellectual products to intellectual producers, consumers, and the cultural frameworks in which they interact. There are also important crossroads between the history of ideas and conceptual history (or Begriffsgeschichte), as both terms signal to the historical study of basic structures of thought. Conceptual history, however, at least in its most well-known variety, which was very much inspired by social-historical approaches, tends to be less centered on biographical and psychological issues and to introduce concepts as more depersonalized linguistic entities. Such and other connections and disconnections between the various ways of attending to “the reflective communal life of human beings in the past” (Burrow) will be further discussed in the following from the perspective of a geographically multicentered historical synopsis. Hopefully, its many limitations will be compensated by the possibilty of bringing to the fore relations that otherwise would not become so salient. (shrink)

Short intellectual biography of Alexandre Herculano. English translation available.

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.

Although a safe, effective, and licensed coronavirus vaccine does not yet exist, there is already controversy over how it ought to be allocated. Justice is clearly at stake, but it is unclear what justice requires in the international distribution of a scarce vaccine during a pandemic. Many are condemning ‘vaccine nationalism’ as an obstacle to equitable global distribution. We argue that limited national partiality in allocating vaccines will be a component of justice rather than an obstacle to it. For there (...) are role-based and community-embedded responsibilities to take care of one’s own, which constitute legitimate moral reasons for some identity-related prioritisation. Furthermore, a good form of vaccine nationalism prioritises one’s own without denying or ignoring duties derived from a principle of equal worth, according to which all persons, regardless of citizenship or identity, equally deserve vaccine-induced protection from COVID-19. Rather than dismissing nationalism as a tragic obstacle, it is necessary to acknowledge that a limited form of it is valuable and expresses moral commitments. Only then can one understand our world of competing obligations, a world where cosmopolitan duties of benevolence sometimes conflict with special obligations of community membership. Once these competing obligations are recognised as such, we can begin the work of designing sound ethical frameworks for achieving justice in the global distribution of a coronavirus vaccine and developing practical strategies for avoiding, mitigating or resolving conflicts of duty. (shrink)

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)

Kompensation is the keyword for an influential answer to the problem of the function of the human sciences in the contemporary world. It emerged in the second half of the twentieth-century in the field of German philosophy, and its chief message is that the human sciences have the task of compensating modern societies and individuals for cultural losses generated within the course of modernization (for instance, by the spread social relations of a new, abstract, non-traditional kind; or by the accelerating (...) progress of technology). The compensation-theory can be stressed as one of the main ideational sets against which Jörn Rüsen developed his own theory of history. This paper focuses on the agonistic relationship between these two theories that attempt to elucidate what is the value and the use of historical studies. My interpretative bet is that by doing so we will better understand important aspects of Rüsen’s theoretical reflections on history and historiography that have not yet received sufficient attention. I will show that Rüsen rejects the compensation-theory not only because he disagrees with the scientific division of labor it entails – which ascribes to the human sciences the relatively modest role of attempting to preserve some of what modernity needs to destroy. I will try to explain how that rejection is also due to more fundamental differences between Rüsen and the compensation-theorists, more specifically their differing understandings of modernity, and their dissent regarding how should the complex interrelationship between knowledge, politics, and the future be configured. -/- “Compensação” é a palavra-chave que sintetiza uma influente resposta ao problema da função das ciências humanas no mundo contemporâneo. Originária do universo da filosofia alemã da segunda metade do século 20, tal resposta sustenta, em linhas gerais, que as ciências humanas servem como uma espécie de indenização espiritual por prejuízos culturais causados pela modernização a sociedades e indivíduos (no bojo, por exemplo, da disseminação de novas relações sociais abstratas e não-tradicionais, ou do acelerado progresso dos meios técnicos). A teoria da compensação pode ser apontada como um dos principais conjuntos de ideias a que se contrapõe a teoria da história de Jörn Rüsen. O presente texto enfoca a relação agonística entre essas duas teorias, no centro das quais está o problema do valor e da utilidade dos estudos históricos. Lançar luz sobre tal relação – esta é a minha aposta interpretativa – é uma maneira de compreender melhor aspectos importantes das reflexões de Rüsen sobre história e historiografia que até agora ainda não receberam a atenção que lhes é devida. Quero mostrar que Rüsen rejeita a teoria da compensação não só porque discorda da divisão do trabalho científico nela apregoada, a qual atribui às ciências humanas o papel relativamente modesto de tentar conservar alguma parte daquilo que a modernização ameaça destruir. Procurarei explicar como tal rejeição também se deve a diferenças mais fundamentais existentes entre Rüsen e os teóricos da compensação, mais especificamente, às suas divergências de entendimento quanto à natureza da modernidade e quanto ao modo de configurar a complexa inter-relação entre conhecimento, política e futuro. (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)

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 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)

O presente texto oferece uma interpretação de Do Império à República, o livro de Sérgio Buarque de Holanda que reconta a história política brasileira da segunda metade do século XIX. Baseando-se em conceitos desenvolvidos pelo teórico da história Jörn Rüsen, o artigo detém-se particularmente em três aspectos do referido livro: os artefatos teóricos que presidem a interpretação da crise da Monarquia brasileira, os padrões narrativos que dão suporte à constituição de sentido sobre essa experiência do passado, bem como o contexto (...) atual de orientação que serviu de parâmetro de significado/sentido à interpretação e à representação. Esta análise pretende ilustrar que a teoria da história é não só um meio para explorar abstratamente as complexas questões ligadas à produção do conhecimento histórico, mas também uma ferramenta para a obtenção de imagens concretas acerca da prática intelectual dos historiadores profissionais. (shrink)

Volume 20, Issue 7, July 2020, Page 160-162.

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

Within the context of the Quine–Putnam indispensability argument, one discussion about the status of mathematics is concerned with the ‘Enhanced Indispensability Argument’, which makes explicit in what way mathematics is supposed to be indispensable in science, namely explanatory. If there are genuine mathematical explanations of empirical phenomena, an argument for mathematical platonism could be extracted by using inference to the best explanation. The best explanation of the primeness of the life cycles of Periodical Cicadas is genuinely mathematical, according to Baker (...) :223–238, 2005; Br J Philos Sci 60:611–633, 2009). Furthermore, the result is then also used to strengthen the platonist position :779–793, 2017a). We pick up the circularity problem brought up by Leng Mathematical reasoning, heuristics and the development of mathematics, King’s College Publications, London, pp 167–189, 2005) and Bangu :13–20, 2008). We will argue that Baker’s attempt to solve this problem fails, if Hume’s Principle is analytic. We will also provide the opponent of the Enhanced Indispensability Argument with the so-called ‘interpretability strategy’, which can be used to come up with alternative explanations in case Hume’s Principle is non-analytic. (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)

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 study whether it is possible to generalise Seidenfeld et al.’s representation result for coherent choice functions in terms of sets of probability/utility pairs when we let go of Archimedeanity. We show that the convexity property is necessary but not sufficient for a choice function to be an infimum of a class of lexicographic ones. For the special case of two-dimensional option spaces, we determine the necessary and sufficient conditions by weakening the Archimedean axiom.

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)

In ‘Against vaccine nationalism’, Nicole Hassoun misrepresents our argument, distorts our position and ignores crucial distinctions we present in our article, ‘Love thy neighbor? Allocating vaccines in a world of competing obligations’. She has created a strawman that does not resemble our position. In this reply, we address two features of ‘Against vaccine nationalism’. First, we address a phantom premise. Hassoun misattributes to us a thesis, according to which citizen-directed duties are stronger than noncitizen-directed duties. This thesis is a figment (...) of her imagination, not a fragment of our argument. Second, we address a shape-shifting ism. Ambiguity attaches to ‘vaccine nationalism,’ ambiguity that Hassoun exploits despite our distinguishing various meanings of the phrase. As a result, the type of vaccine nationalism she argues against is not the type we defend. (shrink)