Name der Zeitschrift: Archiv für Geschichte der Philosophie Jahrgang: 101 Heft: 3 Seiten: 345-375.

« Les Mathematiciens ont autant besoin d’estre philosophes que les philosophes d’estre Mathematiciens » [Leibniz à Nicolas Malebranche, 13/23 mars 1699 ]. Cette déclaration que fait Leibniz à Malebranche en 1699 n’est pas de façade et il la met lui-même en action à de multiples occasions. Ainsi, présentant en 1677 une des notions centrales de sa « caractéristique géométrique », il commente : Il n’est pas si aisé qu’on pense, de donner des veritables demonstrations en metaphysique....

The notion of “expression”, which infuses the whole Leibnizian thought, originates, at least partially, from mathematics, for it appears explicitly in the corpus of the author, after his Parisian initiation to modern mathematics. The crucial point then consists in drawing the path that leads Leibniz from his first mathematical works about quadrature of the circle, differential calculus and series, and his discovery of perspective projection, to the notion of “expression”. Then, many mathematical elements seem to be inscribed in the very (...) nature of “expression”: the idea of transformation and preservation, of relationship between finite and infinite, or still of envelopment and development. Now, it turns out that these elements, if they are considered merely in their mathematical dimension, are sometimes more problematic than enlightening when the question is grasping what “expression” means in its metaphysical instances, and consequently that “expression” cannot be reduced to a mere mathematical notion. (shrink)

Abstractabstract:La question de la relation entre le point et l'étendue en géométrie résonne, dans la pensée de Leibniz, avec celle du lien entre la substance simple avec le corps matériel dont elle est l'élément constitutif d'un point de vue métaphysique. En effet, comment ce qui est indivisible et sans dimension pourrait-il être le principe de ce qui se présente, au contraire, comme toujours divisé et étendu? Si la philosophie tardive de l'auteur, une fois devenue monadologie après 1700, rencontre en cela (...) un problème presque insurmontable, il ne semble pas en être de même dans les années 1690. Cet article propose de montrer comment, vers 1695, une solution originale en est fournie qui renvoie aux innovations mathématiques de cette période, au sujet du point, de l'étendue et, de façon centrale, de la continuité, étoffant ainsi la toile qui unit les mathématiques de Leibniz avec sa philosophie. (shrink)

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The first study, along with edition and translation, of Chrysostomus Javelli’s epitome of the _Liber de bona fortuna_ (1531), a work permitting insight into the early modern understanding of fortune, fate, and free will.

This book develops a comprehensive framework for ethics in the helping professions based on bioethicist Bernard Gert's theory of common morality. The prevailing model of ethics education is built upon adherence to codes of ethics applied largely through the use of decision-making trees. While a firm understanding of a professions code of ethics and all relevant laws is essential to responsible practice, this approach to teaching ethics excludes the opportunity for students to acquire a holistic, and grounded understanding of moral (...) action. The framework proposed in this text moves beyond codes of ethics, and allows students to develop a cohesive sense of ethical reasoning that both validates their moral intuition and challenges moral assumptions. The theory of a common morality uses a systematic, step-by-step approach that readers and practitioners can apply to all questions of moral action and behaviour. While there is no such thing as a single right answer to any ethical question, by following this approach practitioners can confidently eliminate the bad decisions, allowing them to feel more secure in their decision and practice. (shrink)

To what extent should we focus on implicit bias in order to eradicate persistent social injustice? Structural prioritizers argue that we should focus less on individual minds than on unjust social structures, while equal prioritizers think that both are equally important. This article introduces the framework of transactive memory into the debate to defend the equal priority view. The transactive memory framework helps us see how structure can emerge from individual interactions as an irreducibly social product. If this is right, (...) then debiasing interventions are structural interventions. One upshot is that the utility of the individual versus structural distinction is not apparent for the purposes of intervention. (shrink)

Fondée sous les auspices du père de notre modernité philosophique Descartes, puis consolidée par des penseurs aussi importants que Leibniz, Bolzano ou Husserl, la mathesis universalis paraît représenter à elle seule l'ambitieux programme du « rationalisme classique ». Des philosophes tels que Husserl, Russell, Heidegger ou Cassirer ont pu s'accorder en ce point. Le développement de la « science moderne » aurait porté ce grand « rêve dogmatique » pour mener vers son terme le destin de la métaphysique occidentale. Pourtant (...) les recherches historiques récentes ont montré que l'idée de « mathématique universelle » existait bien avant Descartes, que ce dernier ne revendiquait d'ailleurs aucune rupture sur ce point et que sa réflexion se situait même assez clairement dans l'héritage des Anciens. Comment dès lors justifier que les Anciens, avec lesquels le programme des Classiques était censé rompre, aient pu déjà se préoccuper de « mathématique universelle »? Plus simplement encore, de quoi se préoccupaient donc ces philosophes sous ce concept? Le regain d'intérêt pour la mathesis universalis à la fin du XIXe siècle n'avait-il pas conduit paradoxalement à la perte de son sens comme problème? Cette étude a pour but de suivre ces questions jusqu'à leur origine et de montrer leur importance dans le dialogue entre mathématique et philosophie. Pages de début Remerciements Introduction La constitution de la « mathématique universelle » comme problème philosophique I. Aristote II. « Mathématique universelle » et théories mathématiques : Aristote, Euclide, Epinomis III. Le moment néo-platonicien Vers la science de l'ordre et de la mesure IV. La renaissance de la mathématique universelle V. La mathesis universalis cartésienne Conclusion Annexe I. La quaestio de scientia mathematica communi Annexe II. Essai bibliographique sur la mathesis universalis chez Descartes etLeibniz Bibliographie Index nominum Pages de fin. (shrink)

In this paper, we endeavour to give a historically accurate presentation of how Leibniz understood his infinitesimals, and how he justified their use. Some authors claim that when Leibniz called them “fictions” in response to the criticisms of the calculus by Rolle and others at the turn of the century, he had in mind a different meaning of “fiction” than in his earlier work, involving a commitment to their existence as non-Archimedean elements of the continuum. Against this, we show that (...) by 1676 Leibniz had already developed an interpretation from which he never wavered, according to which infinitesimals, like infinite wholes, cannot be regarded as existing because their concepts entail contradictions, even though they may be used as if they exist under certain specified conditions—a conception he later characterized as “syncategorematic”. Thus, one cannot infer the existence of infinitesimals from their successful use. By a detailed analysis of Leibniz’s arguments in his De quadratura of 1675–1676, we show that Leibniz had already presented there two strategies for presenting infinitesimalist methods, one in which one uses finite quantities that can be made as small as necessary in order for the error to be smaller than can be assigned, and thus zero; and another “direct” method in which the infinite and infinitely small are introduced by a fiction analogous to imaginary roots in algebra, and to points at infinity in projective geometry. We then show how in his mature papers the latter strategy, now articulated as based on the Law of Continuity, is presented to critics of the calculus as being equally constitutive for the foundations of algebra and geometry and also as being provably rigorous according to the accepted standards in keeping with the Archimedean axiom. (shrink)

Social problems such as racism, sexism, and inequality are often cited as structural rather than individual in nature. What does it mean to invoke a social structural explanation, and how do such explanations relate to individualistic ones? This article explores recent philosophical debates concerning the nature and usages of social structural explanation. I distinguish between two central kinds of social structural explanation: those that are autonomous from psychology, and those that are not. This distinction will help clarify the explanatory power (...) that each type of SSE has, points of convergence with methodological traditions such as critical theory and rational choice theory, and the difficulties that each type of SSE faces. (shrink)

Intuitively, there is a difference between knowledge and mere belief. Contemporary philosophical work on the nature of this difference has focused on scenarios known as “Gettier cases.” Designed as counterexamples to the classical theory that knowledge is justified true belief, these cases feature agents who arrive at true beliefs in ways which seem reasonable or justified, while nevertheless seeming to lack knowledge. Prior empirical investigation of these cases has raised questions about whether lay people generally share philosophers’ intuitions about these (...) cases, or whether lay intuitions vary depending on individual factors (e.g. ethnicity) or factors related to specific types of Gettier cases (e.g. cases that include apparent evidence). We report an experiment on lay attributions of knowledge and justification for a wide range of Gettier Cases and for a related class of controversial cases known as Skeptical Pressure cases, which are also thought by philosophers to elicit intuitive denials of knowledge. Although participants rated true beliefs in Gettier and Skeptical Pressure cases as being justified, they were significantly less likely to attribute knowledge for these cases than for matched true belief cases. This pattern of response was consistent across different variations of Gettier cases and did not vary by ethnicity or gender, although attributions of justification were found to be positively related to measures of empathy. These findings therefore suggest that across demographic groups, laypeople share similar epistemic concepts with philosophers, recognizing a difference between knowledge and justified true belief. (shrink)

In this paper, I discuss the view defended by Manuel Rebuschi, Maxime Amblard, and Michel Musiol that schizophrenia is not entirely irrational but that the rationality of disordered discourse can be accounted for from the first-person point of view—which, by their account, is not wholly introspective but is rather defined by a certain use of the charity principle, by contrast with what they call third-person approaches. I argue in favor of the idea of continuity between the two points of view: (...) ordinary and schizophrenic. On the basis of this claim, I propose a hypothesis for understanding what Rebuschi et al. call the interactional deficiency of schizophrenic conversations, and I make further exploratory suggestions of ways of understanding the so-called rationality of schizophrenic discourse, notably in relation to the complex notions of “context” and “meaning”. (shrink)

La philosophie de l’action wittgensteinienne, par sa clarification conceptuelle, permet une critique radicale de la métaphysique dualiste impliquée par la psychologie empirique. Si le psychologique est constitué concrètement par nos pratiques, une philosophie wittgensteinienne de l’action peut aider la psychologie à sortir des impasses dues à ses confusions sur la nature de son objet, en substituant à la notion réductrice de comportement le concept d’action.

In this paper, I explore the difference between expression of intention and expression of emotion through a discussion of a passage from G.E.M. Anscombe’s Intention, where she claims that expression of intention, unlike expression of emotion, is “purely conventional”. I argue that this claim is grounded on the fact that, although emotions can be described, expressions of emotion are not descriptions at all. Similarly, expressions of intention are not descriptions of a present state of mind but are rather the expression (...) of a special sort of foreknowledge of a purported action. They are, in this respect, distinct from expression of emotion, since they are a description of some future happening. Now, the centrally descriptive character of expressions of intention is what makes them “purely conventional”. But of course, Anscombe argues, one can have an intention without expressing it. And having an intention does not amount to having some description in mind. (shrink)

Feminist Political Theory provides both a wide-ranging history of western feminist thought and a lucid analysis of contemporary debates. It offers an accessible and thought-provoking account of complex theories, which it relates to 'real-life' issues such as sexual violence, political representation and the family. This timely new edition has been thoroughly updated to incorporate the most recent developments in feminism and feminist scholarship throughout, in particular taking into account the impact of black and postmodern feminist thought on feminist political theory.

Most studies investigating the relationship between cultural constructs and ethical perception have focused on individual- and societal-level values without much attention to other type of cultural constructs such as social beliefs. In addition, we need to better understand how social beliefs are linked to ethical perception and the level of analysis at which social beliefs may best predict ethical perceptions. This research contributes to the cross-cultural ethical perception literature by examining the relationship of individual-level social cynicism belief, one of five (...) universally endorsed social beliefs, together with individual social dominance orientation and the perception of unethical behavior. By means of two studies, we examine these relationships across societies that significantly differ on societal-level social cynicism belief. Using 371 business students from Russia and the U.S. in Study 1 and 268 professionals from Portugal and the U.S. in Study 2, we found that individual-level social cynicism belief was positively associated with social dominance orientation. Social dominance orientation, in turn, mediated the relationship between individual social cynicism belief and the perception of unethical behavior. Although we found significant societal-level differences in social cynicism belief in both studies, the relationships between individual-level social cynicism belief, social dominance orientation, and the perception of unethical behavior were structurally equivalent across societies in both studies, suggesting that societal-level differences did not significantly affect these relationships. Implications for cross-cultural business ethics research and practice are discussed. (shrink)

Legal systems in the Western world currently regard animals as property. This status implies that they are not subjects of rights. None of the recent legal measures aimed at protecting animals have conferred on them the legal status of person, which is arguably a necessary condition to benefit from the most fundamental individual rights. In this chapter, we argue that the type of control of animals that is based on property rights and domination is ethically unacceptable. We also argue that (...) extending personhood and its corresponding rights to all sentient beings is the best way to ensure that they are not made to suffer unnecessarily and that they are protected from domination. While there may exist morally legitimate occurrences of human control over other animals, justice requires that we abolish all forms of their exploitation. (shrink)

The data discussed strongly suggest that neural imaging does not unduly sway judges and jurors; in fact, it is often counterproductive. The percentage of appellate cases in which the decision was favorable to defendants with brain scan data mirrored those of decisions without such proffered evidence. Moreover, fully two-thirds of the scans admitted were either inconclusive or showed normal brain structures. In decisions referencing brain scans, judges mentioned defendant behavior significantly more often than they referred to the defendant’s brain. Finally, (...) in the actual decisions themselves, judges often ignored relevant imaging data in favor of case precedent or misinterpreted the data so that they would fit with the judges’ initial reactions and opinions. (shrink)

Descartes’ Rules for the direction of the mind presents us with a theory of knowledge in which imagination, considered as an “aid” for the intellect, plays a key role. This function of schematization, which strongly resembles key features of Proclus’ philosophy of mathematics, is in full accordance with Descartes’ mathematical practice in later works such as La Géométrie from 1637. Although due to its reliance on a form of geometric intuition, it may sound obsolete, I would like to show that (...) this has strong echoes in contemporary philosophy of mathematics, in particular in the trend of the so called “philosophy of mathematical practice”. Indeed Ken Manders’ study on the Euclidean practice, along with Reviel Netz’s historical studies on ancient Greek Geometry, indicate that mathematical imagination can play a central role in mathematical knowledge as bearing specific forms of inference. Moreover, this role can be formalized into sound logical systems. One question of general epistemology is thus to understand this mysterious role of the imagination in reasoning and to assess its relevance for other mathematical practices. Drawing from Edwin Hutchins’ study of “material anchors” in human reasoning, I would like to show that Descartes’ epistemology of mathematics may prove to be a helpful resource in the analysis of mathematical knowledge. (shrink)

Sugar, pork, beer, corn, cider, scrapple, and hoppin' John all became staples in the diet of colonial America. The ways Americans cultivated and prepared food and the values they attributed to it played an important role in shaping the identity of the newborn nation. In A Revolution in Eating, James E. McWilliams presents a colorful and spirited tour of culinary attitudes, tastes, and techniques throughout colonial America. Confronted by strange new animals, plants, and landscapes, settlers in the colonies and West (...) Indies found new ways to produce food. Integrating their British and European tastes with the demands and bounty of the rugged American environment, early Americans developed a range of regional cuisines. From the kitchen tables of typical Puritan families to Iroquois longhouses in the backcountry and slave kitchens on southern plantations, McWilliams portrays the grand variety and inventiveness that characterized colonial cuisine. As colonial America grew, so did its palate, as interactions among European settlers, Native Americans, and African slaves created new dishes and attitudes about food. McWilliams considers how Indian corn, once thought by the colonists as "fit for swine," became a fixture in the colonial diet. He also examines the ways in which African slaves influenced West Indian and American southern cuisine. While a mania for all things British was a unifying feature of eighteenth-century cuisine, the colonies discovered a national beverage in domestically brewed beer, which came to symbolize solidarity and loyalty to the patriotic cause in the Revolutionary era. The beer and alcohol industry also instigated unprecedented trade among the colonies and further integrated colonial habits and tastes. Victory in the American Revolution initiated a "culinary declaration of independence," prompting the antimonarchical habits of simplicity, frugality, and frontier ruggedness to define American cuisine. McWilliams demonstrates that this was a shift not so much in new ingredients or cooking methods, as in the way Americans imbued food and cuisine with values that continue to shape American attitudes to this day. (shrink)

The number of distributors selling Fair Trade products is constantly increasing. What are their motivations to distribute Fair Trade products? How do they organise this distribution? Do they apply and communicate the Fair Trade values? This research, based on five case studies in Switzerland, aims at understanding and structuring the strategies and the managerial practices related to Fair Trade product distribution, as well as analysing if they denote an engagement with Fair Trade principles. The results show a high heterogeneity of (...) strategies and engagement. In general, strategies implemented by mainstream actors contribute to increase Fair Trade global sales but do not convey the transformative message of Fair Trade through their engagement. The latter is rather communicated through alternative channels. Problems and potential solutions to this issue are discussed. (shrink)

As of this writing, twenty‐one states have passed laws barring transgender youth‐athletes from competing on public‐school sports teams in accordance with their gender identity. Proponents of these regulations claim that transgender females in particular have inherent physiological advantages that threaten a “level playing field” for their cisgender competitors. Existing evidence is limited but does not support these restrictions. Gathering more robust data will require allowing transgender youth to compete (rather than preemptively barring them), but even if trans females are shown (...) to retain some advantage, this would not have greater moral significance than the many other “fair” physical and economic advantages found across sports. These regulations deprive transgender youth, an exceptionally vulnerable population, from the vast physical, mental, and social benefits of sports. While we advocate for transgender inclusion under our current, gender‐segregated model of sport, we propose changes to the overarching structure that would promote a more inclusive and fairer athletic environment. (shrink)

It is commonly accepted that what we ought to do collectively does not imply anything about what each of us ought to do individually. According to this line of reasoning, if cooperating will make no difference to an outcome, then you are not morally required to do it. And if cooperating will be personally costly to you as well, this is an even stronger reason to not do it. However, this reasoning results in a self-defeating, yet entirely predictable outcome. If (...) everyone is rational, no one will cooperate, resulting in an aggregate outcome that is devastating for everyone. This dismal analysis explains why climate change and other collective action problems are so difficult to ameliorate. The goal of this paper is to provide a different, exploratory framework for thinking about individual reasons for action in collective action problems. I argue that the concept of commitment gives us a new perspective on collective action problems. Once we take the structure of commitment into account, this activates requirements of diachronic rationality that give individuals instrumental reasons to cooperate in collective action problems. (shrink)

Platonism, Ficino to Foucault explores some key chapters in the history Platonic philosophy from the revival of Plato in the fifteenth century to the new reading of Platonic dialogues promoted by the so-called ‘Critique of Modernity’.

Generality is a key value in scientific discourses and practices. Throughout history, it has received a variety of meanings and of uses. This collection of original essays aims to inquire into this diversity. Through case studies taken from the history of mathematics, physics and the life sciences, the book provides evidence of different ways of understanding the general in various contexts. It aims at showing how individuals have valued generality and how they have worked with specific types of "general" entities, (...) procedures, and arguments. (shrink)

Trust and Governance asks several important questions: Is trust really essential to good governance, or are strong laws more important? What leads people either to trust or to distrust government, and what makes officials decide to be trustworthy? Can too much trust render the public vulnerable to government corruption, and if so what safeguards are necessary? In approaching these questions, the contributors draw upon an abundance of resources to offer different perspectives on the role of trust in government. Enriched by (...) perspectives from political science, sociology, psychology, economics, history, and philosophy, Trust and Governance opens a new dialogue on the role of trust in the vital relationship between citizenry and government. (shrink)

The meaning of the term “analysis” in Leibniz’s work is multifarious and it is doubtful that one could ever succeed in gathering this variety of meanings into a unified whole. However it has long been remarked that a landmass seems to detach itself from these moving waters – an island sometimes called by its inventor “The Most General Analytics of Human Thoughts”. Already sketched in the De Arte Combinatoria (1666) as a reform of the “analytical part” of Logic (pars logices (...) analytica), it rested on a very simple intuition: the possibility of developing, in parallel, three analyses, namely an analysis of thoughts (analysis notionum et veritatum), an analysis of the structure of language by which we express these thoughts (analysis linguarum or analysis grammatica) and an analysis of the symbols by which we represent them (analysis characterum). This “General Analytics” achieved, any human thought could be related to a catalog of simple notions expressed by basic characters (the so called alphabetum cogitationum humanarum) and, as a direct consequence, any truth could be expressed as a combination of these primitive symbols. (shrink)

(2014). Tin Men: Ethics, Cybernetics and the Importance of Soul. Journal of Military Ethics: Vol. 13, No. 1, pp. 3-19. doi: 10.1080/15027570.2014.908011.

This book, which brings together historians, philosophers and mathematicians, is a tribute to the works of Hourya Benis-Sinaceur, internationally recognized specialist of history and philosophy of mathematics.

Résumé Il est courant d’inscrire Leibniz dans une lignée qui, passant par Nicolas de Cues et Giordano Bruno, aurait marqué le triomphe de l’infini actuel dans la pensée moderne, qu’elle soit scientifique ou métaphysique. Pourtant Leibniz n’acceptait nullement un tel infini en mathématiques et s’en est expliqué à diverses reprises de manière particulièrement claire. Dans cet article, je voudrais rappeler cette position élaborée dès le début du séjour parisien (Accessio ad Arithmeticam infinitorum, fin 1672) et montrer son effectivité dans l’élaboration (...) du « fictionalisme » leibnizien en ce qui concerne les infiniment petits. Rappelant les différentes stratégies de comparaison entre les pensées de Leibniz et Nicolas de Cues, je voudrais indiquer la manière dont des textes récemment édités permettent aujourd’hui une meilleure appréciation de l’écart qui peut les séparer. (shrink)

Just war thinking serves a social and psychological role that international law cannot fill. Law is dispassionate and objective, while just war thinking accounts for emotions and the situatedness of individuals. While law works on us externally, making us accountable to certain people and institutions, just war thinking affects us internally, making us accountable to ourselves. Psychologically, an external focus leads to feelings of shame, while an inward focus generates feelings of guilt. Philosophers have long recognized the importance of these (...) two moral emotions. Recently, psychologists have found that feelings of guilt are linked to positive social outcomes, such as the desire for reconciliation and reparation, while shame generates anger and hostility. Just war thinking, as an inward-looking tradition, has a special relationship with guilt. By focusing on moral emotions, just war thinking can move beyond the law in four ways, by developing an ethic of accountability, by providing a foundation for addressing moral injury, by providing a common language for discussing the costs of war, and for identifying ethical problems in radically new contexts. (shrink)