It is often claimed that the greatest value of the Bayesian framework in cognitive science consists in its unifying power. Several Bayesian cognitive scientists assume that unification is obviously linked to explanatory power. But this link is not obvious, as unification in science is a heterogeneous notion, which may have little to do with explanation. While a crucial feature of most adequate explanations in cognitive science is that they reveal aspects of the causal mechanism that produces the phenomenon to be (...) explained, the kind of unification afforded by the Bayesian framework to cognitive science does not necessarily reveal aspects of a mechanism. Bayesian unification, nonetheless, can place fruitful constraints on causal–mechanical explanation. 1 Introduction2 What a Great Many Phenomena Bayesian Decision Theory Can Model3 The Case of Information Integration4 How Do Bayesian Models Unify?5 Bayesian Unification: What Constraints Are There on Mechanistic Explanation?5.1 Unification constrains mechanism discovery5.2 Unification constrains the identification of relevant mechanistic factors5.3 Unification constrains confirmation of competitive mechanistic models6 ConclusionAppendix. (shrink)

Because we tend to study fight books in isolation, we often forget how difficult it is to understand the precise place they occupy in the sociocultural and historical fabric of their time, and spill the many clues they inevitably contain on their owner, their local society, their precise purpose. In order to unlock that information, we need to study them in their broader sociocultural and historical context. This requires a background and research skills that are not always easily accessible to (...) everyone. To illustrate the point, in this paper I show in some detail what is required to make sense of the claim that Aristotelian philosophy and science influenced the medieval fight books in relevant ways, and that understanding this influence helps us to better understand the fight books per se. I give an outline of the general historical framework, and apply it to a testcase: Talhoffer’s Thott 290 2° Ms., with some interesting results. My hope is that this framework may be of some use to other researchers in HEMA Studies who want to dig deeper in sources of interest to them. (shrink)

Alongside science and law, argumentation is also of central importance in everyday life. But what characterizes a good argument? This question has occupied philosophers and psychologists for centuries. The theory of Bayesian argumentation is particularly suitable for clarifying it, because it allows us to take into account in a natural way the role of uncertainty, which is central to much argumentation. Moreover, it offers the possibility of measuring the strength of an argument in probabilistic terms. One way to do this, (...) implicit in much work, is to identify the strength of an argument with the degree to which the premises of the argument confirm the conclusion. We criticize this prima facie plausible proposal and suggest instead that the strength of an argument has something to do with how much the premises and the conclusion of the argument cohere with each other. This leads to a new probabilistic measure whose properties we examine in more detail. (shrink)

We investigate the structure common to causal theories that attempt to explain a (part of) the world. Causality implies conservation of identity, itself a far from simple notion. It imposes strong demands on the universalizing power of the theories concerned. These demands are often met by the introduction of a metalevel which encompasses the notions of 'system' and 'lawful behaviour'. In classical mechanics, the division between universal and particular leaves its traces in the separate treatment of cinematics and dynamics. This (...) analysis is applied to the mechanical theories of Newton and Leibniz, with some surprising results. (shrink)

In this paper, we give a flavour of how, against the odds, Reggio-Emilia-inspired pedagogical documentation can work in reconceptualizing environmental education, reconfiguring child subjectivity and provoking an ontological shift from autopoiesis to sympoiesis in teacher education. Working posthuman(e)ly and transdisciplinarily across three foundation phase teacher education courses at a university in South Africa, we situate our teaching within current environmental precarities. We show how we stirred up trouble in and outside our university classroom and provoked our students to “make kin” (...) with children, each other, other animals, and the more-than-human, but also to stay with the trouble, that is, to learn to be truly present in colonized spaces. (shrink)

Scientific theories are used for a variety of purposes. For example, physical theories such as classical mechanics and electrodynamics have important applications in engineering and technology, and we trust that this results in useful machines, stable bridges, and the like. Similarly, theories such as quantum mechanics and relativity theory have many applications as well. Beyond that, these theories provide us with an understanding of the world and address fundamental questions about space, time, and matter. Here we trust that the answers (...) scientific theories give are reliable and that we have good reason to believe that the features of the world are similar to what the theories say about them. But why do we trust scientific theories, and what counts as evidence in favor of them? (shrink)

Book review: Emmanuel Todd, "Où en sommes-nous? Une esquisse de l'histoire humaine" (Seuil, 2017).

In their recent work, L. Graham and J.-M. Kantor discuss a remarkable connection between diverging conceptions of the mathematical infinite in Russia and France at the beginning of the twentieth century and the religious convictions of their respective authors. They expand much more on the Russian side of the cultural equation they propose; I do believe, however, that the French (or rather ‘West European’) side is more complex than it seems, and that digging deeper into it is worthwhile. In this (...) paper I shall therefore broaden the path laid out in Graham and Kantor’s work, by connecting two different strands of research concerning the origin of what I loosely call ‘formal’ ideas: firstly, the rich but complex relation between logic and rhetoric throughout European cultural history, and secondly, the impact of religious convictions on the formation of certain mathematical and scientific ideas during Renaissance and Early Modernity, especially but not exclusively in France. (shrink)

Simulation (von lat. simulare, engl. simulation, franz. simulation, ital. simulazione), Bezeichnung für die Nachahmung eines Prozesses durch einen anderen Prozeß. Beide Prozesse laufen auf einem bestimmten System ab. Simuliertes u. simulierendes System (der Simulator in der Kybernetik) können dabei auf gleichen oder unterschiedlichen Substraten realisiert sein.

A concise introduction (in Dutch) to the work of Giorgio Agamben, from the perspective of the central question in his philosophy under what conditions community or society today are possible, not based on in the end always artbitrary principles of exclusion — be they historical, biological, ...

Our concern in the following pages will be the ontology of the relation between living beings (especially, but not exclusively, humans) and the technological artefacts of our late-industrial society. The theme is not new, but important in the context of the emergence and globalisation of so called “post- modern” society. The eventual originality of the present contribution is to be situated in its interpretative framework, i.e., a specific conception of reality's deep ontology, overlooked in general exactly because of the “technological” (...) structure impressed since centuries upon our ways of perceiving of and reasoning about the world. I refer to this neglected but fundamental characteristic of reality as its ontological paradoxicality. (shrink)

Since the dawn of philosophy, the paradoxical interconnection between the continuous and the discrete plays a central rôle in attempts to understand the ontology of the world, while defying all attempts at consistent formulation. I investigate the relation between (classical) logic and concepts of “space” and “time” in physical and metaphysical theories, starting with the Greeks. An important part of my research consists in exploring the strong connections between paradoxes as they appear and are dealt with in ancient philosophy, and (...) their re-appearance in early modern natural philosophy, as well as in the foundations of contemporary science and mathematics. The way paradoxes are dealt with sheds light on a theory’s hidden metaphysical assumptions, especially with respect to matter, space, time and causation, it defines its ontological signature. This conclusion led me to the in-depth study of early modern natural philosophy, the origin of natural science, especially the influences ancient thinkers had on the new conceptions of space, time and causation developed by Newton, Huygens and Leibniz. (shrink)

In de hiernavolgende bijdrage zal het erom gaan te pogen een ander licht te werpen op de globalisering der wereldeconomie die onze planeet sinds enkele decennia teistert. In de theoretische aandacht die deze historische ontwikkeling te beurt viel gedurende de tweede helft van de voorbije eeuw, werd het verband met zowel de ‘economisering’ als de ‘technologisering’ van onze leefwereld zoals geduid in de marxistische en techniekphilosophische critiek centraal gesteld; zij werd tevens gesitueerd in de context van “de postmoderne conditie” in (...) den zin van Lyotard2. Ook de rationaliteitscrisis tout court die hiermee samenhangt beschouw ik als een uitgangspunt, hoewel men over haar aard en oorzaken van mening kan verschillen. De oorspronkelijkheid van deze bijdrage zal dan ook niet te vinden zijn in de bespreking van een der bovenvermelde punten, maar in een ander begrip van de betrekkingen tussen de totaliteit van dit proces en de in onze gewaarwordingen gegeven, ‘natuurlijke’ werkelijkheid. (shrink)

Am 14. Juli 1995 berichteten die angesehene Wissenschaftszeitschrift Science sowie die berühmte amerikanische Tageszeitung New York Times – auf dem Titelblatt – gleichzeitig über die erstmalige experimentelle Erzeugung eines Bose-Einstein-Kondensates aus einem Gas schwach wechselwirkender Alkaliatome am Joint Institute for Laboratory Astrophy- sics (JILA) in Boulder/Colorado (USA). Was war an dieser Leistung so bedeutsam, dass man sich entschloss, sie auf jene Weise bekannt zu geben?

Die Frage, was eine wissenschaftliche Erklärung ist, stellt seit mehr als einem halben Jahrhundert ein zentrales Thema der Wissenschaftsphilosophie dar. Die heutige Diskussion begann mit einer richtungsweisenden Arbeit von Carl Hempel im Jahre 1942 über den Erklärungsbegriff in der Geschichtswissenschaft. In dieser Arbeit gab Hempel, frühere Überlegungen von John Stuart Mill, Karl Popper und anderen präzisierend, eine formale Definition der Erklärung eines singulären Faktums.1 Mit seiner dem zugrunde liegenden Auffassung, dass die Wissenschaften sehr wohl in der Lage sind, Erklärungen zu (...) liefern, setzt sich Hempel ab von den zur damaligen Zeit vorherrschenden antimetaphysisch gestimmten Erklärungsskeptikern wie Pierre Duhem. Es ist jedoch wichtig zu betonen, dass Hempels Definition des Konzeptes der wissenschaftlichen Erklärung nicht wesentlich über das Deskriptive hinaus geht und damit auch und gerade von Empiristen akzeptiert werden kann. Bekanntlich versteht man unter einer Erklärung in Hempels Deduktiv-Nomologischen (D-N) Modell ein deduktiv gültiges Argument, zu dessen Prämisse (dem sog. Explanans) mindestens ein universelles Gesetz und eine Menge von singulären Sätzen gehört und dessen Konklusion das zu erklärende Faktum (das sog. Explanandum) ist. (shrink)

Isaac Newton, in popular imagination the Ur-scientist, was an outstanding humanist scholar. His researches on, among others, ancient philosophy, are thorough and appear to be connected to and fit within his larger philosophical and theological agenda. It is therefore relevant to take a closer look at Newton’s intellectual choices, at how and why precisely he would occupy himself with specific text-sources, and how this interest fits into the larger picture of his scientific and intellectual endeavours. In what follows, we shall (...) follow Newton into his study and look over his shoulder while reading compendia and original source-texts in his personal library at Cambridge, meticulously investigating and comparing fragments and commentaries, and carefully keeping track in private notes of how they support his own developing ideas. Indeed, Newton was convinced that precursors to his own insights and discoveries were present already in Antiquity, even before the Greeks, in ancient Egypt, and he puts a lot of time and effort into making the point, especially, and not incidentially, in the period between the first and the second edition of the Principia. A clear understanding of his reading of the classic sources therefore matters to our understanding of its content and gestation process. In what follows we will confine ourselves to the classical legacy, and investigate Newton’s intellectual intercourse with it. (shrink)

"Thinking about thinking", the topic of this section of our volume, leads us into an Escherian web of self-referential interconnections — which nevertheless make sense, at least if we do not shy away at once in the face of paradox, for fear of inconsistency. How do our critical faculties enter the picture? Adding a few conceptual dimensions to the merely linearly causal one may help us to shed light on the issue, and may help us also to understand some of (...) the basic strategies "Western" thought has developed throughout its historical pathway in its conscious dealings with the 'real'. Of course, in a few pages it is impossible to do justice to this complicated subject. But I'll try to give the reader an as clear as possible description of the, in my view, crucial issues, pointing out the ways they resonate into the many fields of interest represented in the intended readership, and leave it to the reader to dig deeper through the given references. (shrink)

An accessible overview of the (lack of) debate in France between the hegemonic neoclassical school in economics with its positivist pretenses and the more historical Marxist and Keynesian schools.

In this essay I propose a new measure of social welfare. It captures the intuitive idea that quantity, quality, and equality of individual welfare all matter for social welfare. More precisely, it satisfies six conditions: Equivalence, Dominance, Quality, Strict Monotonicity, Equality and Asymmetry. These state that i) populations equivalent in individual welfare are equal in social welfare; ii) a population that dominates another in individual welfare is better; iii) a population that has a higher average welfare than another population is (...) better, other things being equal; iv) the addition of a well-faring individual makes a population better, whereas the addition of an ill-faring individual makes a population worse; v) a population that has a higher degree of equality than another population is better, other things being equal; and vi) individual illfare matters more for social welfare than individual welfare. By satisfying the six conditions, the measure improves on previously proposed measures, such as the utilitarian Total and Average measures, as well as different kinds of Prioritarian measures. (shrink)

Let me first state that I like Antti Revonsuo’s discussion of the various methodological and interpretational problems in neuroscience. It shows how careful and methodologically reflected scientists have to proceed in this fascinating field of research. I have nothing to add here. Furthermore, I am very sympathetic towards Revonsuo’s general proposal to call for a Philosophy of Neuroscience that stresses foundational issues, but also focuses on methodological and explanatory strategies.2 In a footnote of his paper, Revonsuo complains – as many (...) others do today – about what is sometimes called “physics imperialism”. This is the view that physics dominates the philosophy of science. I am not sure if this is still the case nowadays, but it is certainly historically correct that almost all work in the field of methodology centered around cases from physics. Although this has been changing, there are still plenty of special sciences philosophers did not worry about much. Admittedly, I am myself a trained physicist and not a neuroscientist and will therefore probably be biased negatively. As it is, I will discuss some examples from physics in order to illustrate my points. (shrink)

The article summarises in an accessible way the (lack of) debate in France between different economic schools — the hegemonic neoclassical school with its positivist pretenses versus more historical schools of a Marxist or Keynesian orientation.

FEEL FREE TO CITE - IGNORE IN-PDF REQUEST The eight year gap between the publication of Volume I (1976) of The History of Sexuality and Volumes II and III (1984) has provoked a fair amount of debate within scholarly circles. Does it represent a fundamental rethinking of the analysis of power and knowledge begun in Volume I, or is something else at stake? And what does the shift in emphasis regarding power and resistance after these eight years ultimately entail? James (...) Miller’s influential, if often flawed, biography of Foucault has provided one of the leading interpretations of this gap in Foucault’s publishing career. On Miller’s account, the turn towards governmentality and technologies of the self represents something of a tacit admission of failure on Foucault’s part regarding his Volume I rendering of power and resistance.1 Now, it seems to me that there is something right about this reading – we can map a shift in Foucault’s consideration of power and resistance in this period, culminating in the 1982 essay, “The Subject and Power,” which it seems to me can be read as a perverse re-writing of the themes of Volume I. However, the idea that this eight year period represents a ‘hard break,’ or an introduction of an incommensurability between resistance as tactical reversal (Volume I) and resistance as.. (shrink)

Die Frage nach dem Verhältnis aufeinanderfolgender Theorien rückte spätestens mit der Publikation von T. S. Kuhns einflußreicher Schrift Die Struktur wissenschaftlicher Revolutionen im Jahre 1961 in den Brennpunkt wissenschaftsphilosophischer Untersuchungen. Dabei gibt es im wesentlichen zwei große Lager. Auf der einen Seite stehen Philosophen wie P. Feyerabend und T. S. Kuhn selbst, die den Aspekt der Diskontinuität...

An Beispielen aus der Entwicklung der Elementarteilchenphysik wird aufgezeigt, welche Rolle Modelle im Entstehungsprozess einer physikalischen Theorie spielen.

Vacuum (leer, frei) bezeichnete bis zum 19. Jahrhundert allein den körperlosen Raum. Unter dem Einfluss physikalischer (Feld-) Theorien meint der Terminus inzwischen diejenige residuale physische Entiät, die einen vorgegebenen Raum ausfüllt bzw. im Prinzip ausfüllen würde, nachdem alles, was mit physikalischen Mitteln entfernt werden kann, aus dem Raum entfernt wurde. Theorien über das V. sind daher eng mit Theorien über die Struktur des Raumes, die Bewegung, die physikalischen Gegenstände und deren Wechselwirkungen verbunden. In der Quantentheorie bezeichnet V. den Zustand niedrigster (...) Energie (Grundzustand) eines Systems. (shrink)

The amount of realist positions put forward by philosophers of religion and theologians is impressive. one can certainly doubt whether there is a need for yet another alternative. However, most realist positions employed in studies on religion fall prey to Hilary Putnam’s criticism against metaphysical realism. This gives rise to a dilemma that I aim at solving by introducing yet another realist position, namely non-metaphysical realism.

A consistent finding in research on conditional reasoning is that individuals are more likely to endorse the valid modus ponens (MP) inference than the equally valid modus tollens (MT) inference. This pattern holds for both abstract task and probabilistic task. The existing explanation for this phenomenon within a Bayesian framework (e.g., Oaksford & Chater, 2008) accounts for this asymmetry by assuming separate probability distributions for both MP and MT. We propose a novel explanation within a computational-level Bayesian account of reasoning (...) according to which “argumentation is learning”. We show that the asymmetry must appear for certain prior probability distributions, under the assumption that the conditional inference provides the agent with new information that is integrated into the existing knowledge by minimizing the Kullback-Leibler divergence between the posterior and prior probability distribution. We also show under which conditions we would expect the opposite pattern, an MT-MP asymmetry. (shrink)

The Sure-Thing Principle famously appears in Savage’s axiomatization of Subjective Expected Utility. Yet Savage introduces it only as an informal, overarching dominance condition motivating his separability postulate P2 and his state-independence postulate P3. Once these axioms are introduced, by and large, he does not discuss the principle any more. In this note, we pick up the analysis of the Sure-Thing Principle where Savage left it. In particular, we show that each of P2 and P3 is equivalent to a dominance condition; (...) that they strengthen in different directions a common, basic dominance axiom; and that they can be explicitly combined in a unified dominance condition that is a candidate formal statement for the Sure-Thing Principle. Based on elementary proofs, our results shed light on some of the most fundamental properties of rational choice under uncertainty. In particular they imply, as corollaries, potential simplifications for Savage’s and the Anscombe- Aumann axiomatizations of Subjective Expected Utility. Most surprisingly perhaps, they reveal that in Savage’s axiomatization, P3 can be weakened to a natural strengthening of so-called Obvious Dominance. (shrink)

My job has been made easier tonight, given that Larry Hickman has already done most of the ‘heavy lifting’ for me. I think his paper is an excellent and convincing intervention into this debate, and one of the problems for me in constructing my talk has been that our discussions have forced me to rethink what I wanted to say. Given my Continental biases, I had expected to come out on Rorty’s side; in writing this paper, however, things have become (...) more complicated. So let me here thank Larry for both at once making my job tonight easier, and much to my chagrin, surprisingly difficult. What I want to suggest, in contrast to what you’ve just heard, is that the neopragmatism of Richard Rorty is not wholly inconsistent with Dewey’s pragmatism – or, at least, with a ‘thin’ version of Deweyian pragmatism. As we shall see, while the differences between Dewey and Rorty on the status of metaphysics are in all probability irreconcilable, Rorty’s reclamation of a ‘thin’ Dewey can be read as consistent with at least the spirit of Dewey’s work. I will try to make the stronger case that this reconciliation is possible according to the letter of Dewey’s philosophy as well, and the interrelated issues of method and social hope will serve as the avenues for this investigation. Given my audience, I imagine that what I’m about to say will be fodder for some interesting conversation, and so, in the spirit of Rorty’s thought, let me get on with my paper. (shrink)

Scholarly debates on the Critique of Pure Reason have largely been shaped by epistemological questions. Challenging this prevailing trend, Kant's Reform of Metaphysics is the first book-length study to interpret Kant's Critique in view of his efforts to turn Christian Wolff's highly influential metaphysics into a science. Karin de Boer situates Kant's pivotal work in the context of eighteenth-century German philosophy, traces the development of Kant's conception of critique, and offers fresh and in-depth analyses of key parts of the (...) Critique of Pure Reason, including the Transcendental Deduction, the Schematism Chapter, the Appendix to the Transcendental Analytic, and the Architectonic. The book not only brings out the coherence of Kant's project, but also reconstructs the outline of the 'system of pure reason' for which the Critique was to pave the way, but that never saw the light. (shrink)

Bayesianism is our leading theory of uncertainty. Epistemology is defined as the theory of knowledge. So “Bayesian Epistemology” may sound like an oxymoron. Bayesianism, after all, studies the properties and dynamics of degrees of belief, understood to be probabilities. Traditional epistemology, on the other hand, places the singularly non-probabilistic notion of knowledge at centre stage, and to the extent that it traffics in belief, that notion does not come in degrees. So how can there be a Bayesian epistemology?

FEEL FREE TO CITE - IGNORE IN-PDF REQUEST -/- Husserl defines affection in the Analyses1 as "the allure given to consciousness, the particular pull that an object given to consciousness exercises on the ego."2 That something becomes prominent for the ego implies that the object exerts a kind of 'pull' upon the ego, a demanding of egoic attention. This affective pull is relative in force, such that the same object can be experienced in varying modes of prominence and affective relief (...) depending upon bodily comportment, egoic attentiveness, etc. The phenomenon of affection allows Husserl to describe the genesis of association in terms of the lawful, regular exertions of affection upon the ego, prompting (for example) the reproduction of remembered pasts in retention on a purely passive level. Affection thus provides Husserl a non-Humean mechanism for the lawful phenomenon of association. In this light, we can see that affection plays a crucial role in the passive phenomenon of association and thereby in the constitution of sense. The precise role played by affection, however, remains quite problematic in the Analyses. Husserl is rather unclear on this point, and two of the leading commentators on the Analyses, Anthony Steinbock and Bruce Bégout, offer opposing viewpoints. Is affection the precondition for the constitution of any sense unity, as Steinbock suggests, or is it the.. (shrink)

It will be shown in this article that an ontological approach for some problems related to the interpretation of Quantum Mechanics (QM) could emerge from a re-evaluation of the main paradox of early Greek thought: the paradox of Being and non-Being, and the solutions presented to it by Plato and Aristotle. More well known are the derivative paradoxes of Zeno: the paradox of motion and the paradox of the One and the Many. They stem from what was perceived by classical (...) philosophy to be the fundamental enigma for thinking about the world: the seemingly contradictory results that followed from the co-incidence of being and non-being in the world of change and motion as we experience it, and the experience of absolute existence here and now. The most clear expression of both stances can be found, again following classical thought, in the thinking of Heraclitus of Ephesus and Parmenides of Elea. The problem put forward by these paradoxes reduces for both Plato and Aristotle to the possibility of the existence of stable objects as a necessary condition for knowledge. Hence the primarily ontological nature of the solutions they proposed: Plato’s Theory of Forms and Aristotle’s metaphysics and logic. Plato’s and Aristotle’s systems are argued here to do on the ontological level essentially the same: to introduce stability in the world by introducing the notion of a separable, stable object, for which a ‘principle of contradiction’ is valid: an object cannot be and not-be at the same place at the same time. So it becomes possible to forbid contradiction on an epistemological level, and thus to guarantee the certainty of knowledge that seemed to be threatened before. After leaving Aristotelian metaphysics, early modern science had to cope with these problems: it did so by introducing “space” as the seat of stability, and “time” as the theater of motion. But the ontological structure present in this solution remained the same. Therefore the fundamental notion ‘separable system’, related to the notions observation and measurement, themselves related to the modern concepts of space and time, appears to be intrinsically problematic, because it is inextricably connected to classical logic on the ontological level. We see therefore the problems dealt with by quantum logic not as merely formal, and the problem of ‘non-locality’ as related to it, indicating the need to re-think the notions system, entity, as well as the implications of the operation ‘measurement’, which is seen here as an application of classical logic (including its ontological consequences) on the material world. (shrink)

Dès les années 1900, et même avant que son intérêt se soit définitivement porté de la théorie physiologique à la théorie psychologique, Freudparle d'un Moi, en partie dans un sens qui fait présagernettement les développements ultérieurs de la psychologie du Moi. Cependant, l'élaboration plus approfondie de cette partie de son travail a dû être retardée pendant une période au cours de laquelle sa préoccupation principale était le développement d'autres aspects de la psychanalyse. Tous les travaux révolutionnaires de ces années approchent (...) la personnalité en passant par ce que nous appellerions aujourd'hui l'étude du Ça. Ainsi, dans l'analyse, une base importante de faits et d'hypothèses a été établie — sur les lois gouvernant les processus mentaux inconscients, sur les caractéristiqueset le développementdes pulsions instinctuelles, et sur certains aspects du conflit psychique — dont l'absence avait été un grave handicap pour la psychologie préanalytique. Le fait que l'étude du Ça par Freud a précédé son approche de la psychologie structurale est en vérité un des événements les plus importants dans l'histoire de la psychologie. (shrink)

Over the years, mathematics and statistics have become increasingly important in the social sciences1 . A look at history quickly confirms this claim. At the beginning of the 20th century most theories in the social sciences were formulated in qualitative terms while quantitative methods did not play a substantial role in their formulation and establishment. Moreover, many practitioners considered mathematical methods to be inappropriate and simply unsuited to foster our understanding of the social domain. Notably, the famous Methodenstreit also concerned (...) the role of mathematics in the social sciences. Here, mathematics was considered to be the method of the natural sciences from which the social sciences had to be separated during the period of maturation of these disciplines. All this changed by the end of the century. By then, mathematical, and especially statistical, methods were standardly used, and their value in the social sciences became relatively uncontested. The use of mathematical and statistical methods is now ubiquitous: Almost all social sciences rely on statistical methods to analyze data and form hypotheses, and almost all of them use (to a greater or lesser extent) a range of mathematical methods to help us understand the social world. Additional indication for the increasing importance of mathematical and statistical methods in the social sciences is the formation of new subdisciplines, and the establishment of specialized journals and societies. Indeed, subdisciplines such as Mathematical Psychology and Mathematical Sociology emerged, and corresponding journals such as The Journal of Mathematical Psychology (since 1964), The Journal of Mathematical Sociology (since 1976), Mathematical Social Sciences (since 1980) as well as the online journals Journal of Artificial Societies and Social Simulation (since 1998) and Mathematical Anthropology and Cultural Theory (since 2000) were established. What is more, societies such as the Society for Mathematical Psychology (since 1976) and the Mathematical Sociology Section of the American Sociological Association (since 1996) were founded. Similar developments can be observed in other countries. The mathematization of economics set in somewhat earlier (Vazquez 1995; Weintraub 2002). However, the use of mathematical methods in economics started booming only in the second half of the last century (Debreu 1991). Contemporary economics is dominated by the mathematical approach, although a certain style of doing economics became more and more under attack in the last decade or so. Recent developments in behavioral economics and experimental economics can also be understood as a reaction against the dominance (and limitations) of an overly mathematical approach to economics. There are similar debates in other social sciences. It is, however, important to stress that problems of one method (such as axiomatization or the use of set theory) can hardly be taken as a sign of bankruptcy of mathematical methods in the social sciences tout court. This chapter surveys mathematical and statistical methods used in the social sciences and discusses some of the philosophical questions they raise. It is divided into two parts. Sections 1 and 2 are devoted to mathematical methods, and Sections 3 to 7 to statistical methods. As several other chapters in this handbook provide detailed accounts of various mathematical methods, our remarks about the latter will be rather short and general. Statistical methods, on the other hand, will be discussed in-depth. (shrink)

This article challenges the prevailing interpretations of Hegel's account of the concept "contradiction" in the Science of Logic by arguing that it is concerned with the principle of Hegel's method rather than with the classical law of non-contradiction. I first consider Hegel's Doctrine of Essence in view of Kant's discussion of the concepts of reflection in the first Critique. On this basis, I examine Hegel's account of the logical principles based on the concepts "identity," "opposition," and "contradiction." Finally, I point (...) out how the principle Hegel derives from the concept of contradiction actually informs his own method. (shrink)

In his 1939 essay, “Creative Democracy – The Task Before Us,” John Dewey described democracy as “a way of personal life controlled not merely by faith in human nature in general but by faith in the capacity of human beings for intelligent judgment and action if proper conditions are furnished.”1 While this may seem an odd definition, it is emblematic of the reconstructive tendency in Dewey’s philosophy. If we are to achieve a truly democratic society, we must reconstruct democracy itself (...) – our personal lives must become more democratic if we are to have hopes for our political institutions. And central to this reconstruction, as Dewey points out in this essay, is a recognition of the roles of communication and education in the interest of democratzing ends. It seems hardly worth mentioning the role played by information technology in our contemporary modes of communication and education, given the centrality of the personal computer and the Internet in our everyday lives. For most of us in this room, and especially for those under the age of 25, it is difficult to remember a time before the home computer, before e-mail and instant messaging. But it is vitally important to bear in mind that the technological advantages of Western life are not universal – large.. (shrink)

Der Begriff ‘Modell’ leitet sich vom Lateinischen ‘modulus’ (das Maß) ab, im Italienischen existiert seit dem 16. Jh. ‘modello’ und R. Descartes verwendet im 17. Jh. ‘modèlle’. Während der Begriff in Architektur und Kunst schon seit der Renaissance gängig ist, wird er in den Naturwissenschaften erst im 19. Jh. verwendet.1 Dort greifen wissenschaftliche Modelle die für eine gegebene Problemstellung als wesentlich erachteten Charakteristika (Eigenschaften, Beziehungen, etc.) eines Untersuchungsgegenstandes heraus und machen diesen so einem Verständnis bzw. einer weiterführenden Untersuchung zugänglich. Es (...) ist üblich, zwischen Skalenmodellen, Analogmodellen und theoretischen Modellen zu unterscheiden. (shrink)

Das Thema dieses Bandes ist die Frage, ob die Wissenschaftstheorie eine normative Disziplin ist. Zunächst überrascht die Frage, denn für viele Wissenschaftstheoretiker ist die Antwort ein klares „Ja“; sie halten es für einen Allgemeinplatz, dass die Wissenschaftstheorie ein normatives Unternehmen ist. Bei genauerem Hinsehen stellt sich jedoch heraus, dass die Frage unterschiedliche Interpretationen zulässt, die einzeln diskutiert werden müssen. Dies geschieht im ersten Abschnitt. Im zweiten Abschnitt suchen wir nach möglichen Erklärungen dafür, warum die Wissenschaftstheorie bisher bei dem Projekt, eine (...) allseits akzeptable Methodologie wissenschaftlichen Schließens zu formulieren und zu begründen, so wenig Erfolg hatte. Eine mögliche Erklärung für den ausbleibenden Erfolg ist der Partikularismus, wonach Methoden keine allgemeine, sondern nur eine lokale, bereichsabhängige Gültigkeit haben. Im dritten Abschnitt wollen wir an Hand des Bayesianismus zeigen, dass die Methodologie doch nicht so schlecht da steht, wie es zunächst den Anschein hat. Der Bayesianismus ist für viele Wissenschaftstheoretiker der aussichtsreichste Kandidat für eine allgemeine Theorie induktiven Räsonierens. Wir besprechen seine Vorzüge, stellen aber auch dar, welche Konzessionen er an den Partikularismus machen muss. (shrink)

Combinatorial behavior involves combining different elements into larger aggregates with meaning. It is generally contrasted with compositionality, which involves the combining of meaningful elements into larger constituents whose meaning is derived from its component parts. Combinatoriality is commonly considered a capacity found in primates and other animals, whereas compositionality often is considered uniquely human. Questioning the validity of this claim, this multidisciplinary special issue of the International Journal of Primatology unites papers that each study aspects of combinatoriality and compositionality found (...) in primate and bird communication systems, tool use, skills, and human language. The majority of authors conclude that compositionality is evolutionarily preceded by combinatoriality and that neither are uniquely human. This introduction briefly introduces readers to the major findings and issues raised by the contributors. -/- . (shrink)

The chromodielectric soliton model is Lorentz and chirally invariant. It has been demonstrated to exhibit dynamical chiral symmetry breaking and spatial confinement in the locally uniform approximation. We here study the full nonlocal quark self-energy in a color-dielectric medium modeled by a two-parameter Fermi function. Here color confinement is manifest. The self-energy thus obtained is used to calculate quark wave functions in the medium which, in turn, are used to calculate the nucleon and pion masses in the one-gluon-exchange approximation. The (...) nucleon mass is fixed to its empirical value using scaling arguments; the pion mass (for massless current quarks) turns out to be small but nonzero, depending on the model parameters. (shrink)

In this article, we address a major outstanding question of probabilistic Bayesian epistemology: how should a rational Bayesian agent update their beliefs upon learning an indicative conditional? A number of authors have recently contended that this question is fundamentally underdetermined by Bayesian norms, and hence that there is no single update procedure that rational agents are obliged to follow upon learning an indicative conditional. Here we resist this trend and argue that a core set of widely accepted Bayesian norms is (...) sufficient to identify a normatively privileged updating procedure for this kind of learning. Along the way, we justify a privileged formalization of the notion of ‘epistemic conservativity’, offer a new analysis of the Judy Benjamin problem, and emphasize the distinction between interpreting the content of new evidence and updating one’s beliefs on the basis of that content. (shrink)

The "myside bias'' in evaluating arguments is an empirically well-confirmed phenomenon that consists of overweighting arguments that endorse one's beliefs or attack alternative beliefs while underweighting arguments that attack one's beliefs or defend alternative beliefs. This paper makes two contributions: First, it proposes a probabilistic model that adequately captures three salient features of myside bias in argument evaluation. Second, it provides a Bayesian justification of this model, thus showing that myside bias has a rational Bayesian explanation under certain conditions.

There is a deeply entrenched view in philosophy and physics, the closed systems view, according to which isolated systems are conceived of as fundamental. On this view, when a system is under the influence of its environment this is described in terms of a coupling between it and a separate system which taken together are isolated. We argue against this view, and in favor of the alternative open systems view, for which systems interacting with their environment are conceived of as (...) fundamental, and the environment's influence is represented via the dynamical equations that govern the system's evolution. Taking quantum theories of closed and open systems as our case study, and considering three alternative notions of fundamentality: (i) ontic fundamentality, (ii) epistemic fundamentality, and (iii) explanatory fundamentality, we argue that the open systems view is fundamental, and that this has important implications for the philosophy of physics, the philosophy of science, and for metaphysics. (shrink)

Translation of Nicolai Hartmann's _Zur Grundlegung der Ontologie_ (1935).

Fundamental aspects of modern life owe their existence to the achievements of scientific reason. In other words, science is an integral element of the modern world and simultaneously the epitome of the rational nature of a technical culture that makes up the essence of the modern world. Without science, the modern world would lose its very nature and modern society its future. Right from the start, physics forms the core of European scientific development. It is the original paradigm of science, (...) the foundation of technology and a constitutive part of a rational culture. It will remain a model methodological discipline in the future and its strengths will be used fruitfully in interdisciplinary and transdisciplinary collaboration. (shrink)

We argue that social deliberation may increase an agent’s confidence and credence under certain circumstances. An agent considers a proposition H and assigns a probability to it. However, she is not fully confident that she herself is reliable in this assignment. She then endorses H during deliberation with another person, expecting him to raise serious objections. To her surprise, however, the other person does not raise any objections to H. How should her attitudes toward H change? It seems plausible that (...) she should increase the credence she assigns to H and, at the same time, increase the reliability she assigns to herself concerning H. A Bayesian model helps us to investigate under what conditions, if any, this is rational. (shrink)

Over the past decades, the idea that national sovereignty and the authority of the state have been increasingly challenged or even substantially eroded has been a dominant one. Economic globalization advancing a neo-liberal dis-embedding of the economy is seen as the major reason for this erosion. Concerns have increased about the negative consequences for the social fabric of societies, deprived of the strong shock absorption capacity that the welfare states had established in the time of the embedded liberalism to use (...) a term John Ruggie coined. The concerns have also helped nationalistic movements to gain power in many high-income countries, not at least in the United States, calling for putting their economy first. Accordingly, a number of commentators have announced a return of the nation state. In this special issue, we will show that the retreat-of-the-state thesis as well as the return-of-the-state thesis shares the same shortcomings. They conflate state and authority. As a consequence, both theses underestimate important transformations of authority that have taken place since the end of the “short 20TH century,” to use Eric Hobsbawm's periodization. With this special issue, we seek to contribute to a more nuanced analysis of the transformation of authority. The issue is the outcome of a conference that took place at the Copenhagen Business School in 2015, hosted by the research project ‘Institutional Transformation in European Political Economy: A Socio-Legal Approach’ and funded by the European Research Council. (shrink)