It is commonly held that there is no place for the 'now’ in physics, and also that the passing of time is something subjective, having to do with the way reality is experienced but not with the way reality is. Indeed, the majority of modern theoretical physicists and philosophers of physics contend that the passing of time is incompatible with modern physical theory, and excluded in a fundamental description of physical reality. This book provides a forceful rebuttal of such claims. (...) In successive chapters the author explains the historical precedents of the modern opposition to time flow, giving careful expositions of matters relevant to becoming in classical physics, the special and general theories of relativity, and quantum theory, without presupposing prior expertise in these subjects. Analysing the arguments of thinkers ranging from Aristotle, Russell, and Bergson to the proponents of quantum gravity, he contends that the passage of time, understood as a local becoming of events out of those in their past at varying rates, is not only compatible with the theories of modern physics, but implicit in them. (shrink)

This paper consists in a study of Leibniz’s argument for the infinite plurality of substances, versions of which recur throughout his mature corpus. It goes roughly as follows: since every body is actually divided into further bodies, it is therefore not a unity but an infinite aggregate; the reality of an aggregate, however, reduces to the reality of the unities it presupposes; the reality of body, therefore, entails an actual infinity of constituent unities everywhere in it. I argue that this (...) depends on a generalized notion of aggregation, according to which a thing may be an aggregate of its constituents if every one of its actual parts presupposes such constituents, but is not composed from them. One of the premises of this argument is the reality of bodies. If this premise is denied, Leibniz’s argument for the infinitude of substances, and even of their plurality, cannot go through. (shrink)

In the transition to Einstein’s theory of Special Relativity (SR), certain concepts that had previously been thought to be univocal or absolute properties of systems turn out not to be. For instance, mass bifurcates into (i) the relativistically invariant proper mass m0, and (ii) the mass relative to an inertial frame in which it is moving at a speed v = βc, its relative mass m, whose quantity is a factor γ = (1 – β2) -1/2 times the proper mass, (...) m = γm0. (shrink)

This book gathers together for the first time an important body of texts written between 1672 and 1686 by the great German philosopher and polymath Gottfried Leibniz. These writings, most of them previously untranslated, represent Leibniz's sustained attempt on a problem whose solution was crucial to the development of his thought, that of the composition of the continuum. The volume begins with excerpts from Leibniz's Paris writings, in which he tackles such problems as whether the infinite division of matter entails (...) perfect points, whether matter and space can be regarded as true wholes, whether motion is truly continuous, and the nature of body and substance. Comprising the second section is Pacidius Philalethi, Leibniz's brilliant dialogue of late 1676 on the problem of the continuity of motion. In the selections of the final section, from his Hanover writings of 1677-1686, Leibniz abandons his earlier transcreationism and atomism in favor of the theory of corporeal substance, where the reality of body and motion is founded in substantial form or force.Leibniz's texts (one in French, the rest in Latin) are presented with facing-page English translations, together with an introduction, notes, appendixes containing related excerpts from earlier works by Leibniz and his predecessors, and a valuable glossary detailing important terms and their translations. (shrink)

In contrast with some recent theories of infinitesimals as non-Archimedean entities, Leibniz’s mature interpretation was fully in accord with the Archimedean Axiom: infinitesimals are fictions, whose treatment as entities incomparably smaller than finite quantities is justifiable wholly in terms of variable finite quantities that can be taken as small as desired, i.e. syncategorematically. In this paper I explain this syncategorematic interpretation, and how Leibniz used it to justify the calculus. I then compare it with the approach of Smooth Infinitesimal Analysis, (...) as propounded by John Bell. I find some salient differences, especially with regard to higher-order infinitesimals. I illustrate these differences by a consideration of how each approach might be applied to propositions of Newton’s Principia concerning the derivation of force laws for bodies orbiting in a circle and an ellipse. “If the Leibnizian calculus needs a rehabilitation because of too severe treatment by historians in the past half century, as Robinson suggests (1966, 250), I feel that the legitimate grounds for such a rehabilitation are to be found in the Leibnizian theory itself.”—(Bos 1974–1975, 82–83). (shrink)

It is well known that Leibniz advocated the actual infinite, but that he did not admit infinite collections or infinite numbers. But his assimilation of this account to the scholastic notion of the syncategorematic infinite has given rise to controversy. A common interpretation is that in mathematics Leibniz’s syncategorematic infinite is identical with the Aristotelian potential infinite, so that it applies only to ideal entities, and is therefore distinct from the actual infinite that applies to the actual world. Against this, (...) I argue in this paper that Leibniz’s actual infinite, understood syncategorematically, applies to any entities that are actually infinite in multitude, whether numbers, actual parts of matter, or monads. It signifies that there are more of them than can be assigned a number, but that there is no infinite number or collection of them, which notion involves a contradiction. Similarly, to say that a magnitude is actually infinitely small in the syncategorematic sense is to say that no matter how small a magnitude one takes, there is a smaller, but there are no actual infinitesimals. In geometry one may calculate with expressions apparently denoting such entities, on the understanding that they are fictions, standing for variable magnitudes that can be made arbitrarily small, so as to produce demonstrations that there is no error in the resulting expressions. (shrink)

Before establishing his mature interpretation of infinitesimals as fictions, Gottfried Leibniz had advocated their existence as actually existing entities in the continuum. In this paper I trace the development of these early attempts, distinguishing three distinct phases in his interpretation of infinitesimals prior to his adopting a fictionalist interpretation: (i) (1669) the continuum consists of assignable points separated by unassignable gaps; (ii) (1670-71) the continuum is composed of an infinity of indivisible points, or parts smaller than any assignable, with no (...) gaps between them; (iii) (1672- 75) a continuous line is composed not of points but of infinitely many infinitesimal lines, each of which is divisible and proportional to a generating motion at an instant (conatus). In 1676, finally, Leibniz ceased to regard infinitesimals as actual, opting instead for an interpretation of them as fictitious entities which may be used as compendia loquendi to abbreviate mathematical reasonings. (shrink)

Russell’s most important source for his book on Leibniz was C. I. Gerhardt’s seven-volume Die philosophischen Schriften von Gottfried Wilhelm Leibniz. Russell heavily annotated his copy of this important edition of Leibniz’s works. The present paper records all Russell’s marginalia, with the exception of passages marked merely by vertical lines in the margin, and provides explanatory commentary.

In this paper, I argue that the use of non-human animals in ritual sacrifices is not necessary for the Confucian tradition. I draw upon resources found within other religious traditions as well as Confucianism concerning carrying out even the most mundane, ordinary actions as expressions of reverence. I argue that this practice of manifesting deep reverence toward God through simple actions, which I call everyday reverence, reveals a way for Confucians to maintain the deep reverence that is essential for Confucianism, (...) while abandoning the use of non-human animal sacrifice. (shrink)

Evaluation of the influence of Hayden White on the theory of history is made difficult by his preference for the essay form, valued for its experimental character, and by the need to find comparable data. A quantitative study of citations of his work in English and foreign-language journals, 1973–1993, reveals that although historians were prominent among early readers of Metahistory, few historical journals reviewed White's two subsequent collections of essays and few historians-except in Germany-cited them. Those historians who did tended (...) still to cite Metahistory and often the parts of it devoted specifically to nineteenth-century historians.Literary critics, on the other hand, were relatively late to discover White, but during the "narrative turn" of the 1970s and 1980s his work was important for students of the novel and the theater. Recognition of it was especially marked in Spanish-speaking countries and in Germany.As a result, salient themes of White's later work-the ideological and political import of narrativization, the "historical sublime," and writing in the "middle voice"-have largely gone unremarked by historians and philosophers. Both these groups have tended to be irritated by White's bracketing of questions of historical epistemology; some have accused him of effacing the line between fiction and history, while White's numerous literary readers have generally applauded his tendencies in this direction. White however has consistently maintained that there is a difference, although not the one conventionally postulated. His exploration of writing in the "middle voice" brings his work full circle, in that it promises a "modernist" realism appropriate for representing the "sublime" events of our century. (shrink)

Debates over postmodernism, analyses of knowledge and power, and the recurring issue of Heidegger's Nazism have all deepened questions about the relation between philosophy and the social roles of intellectuals. Against such postmodernist rejections of philosophical theory as mounted by Rorty and Lyotard, Richard Peterson argues that precisely reflection on rationality, in appropriate social terms, is needed to confront urgent political issues about intellectuals. After presenting a conception of intellectual mediation set within the modern division of labor, he offers (...) an account of postmodern politics within which postmodern arguments against critical reflection are themselves treated socially and politically. Engaging thinkers as diverse as Kant, Hegel, Marx, Habermas, Foucault, and Bahktin, Peterson argues that a democratic conception and practice of philosophy is inseparable from democracy generally. His arguments about modern philosophy are tied to claims about the relation between liberalism and epistemology, and these in turn inform an account of impasses confronting contemporary politics. Historical arguments about the connections between postmodernist thought and practice are illustrated by discussions of the postmodernist dimensions of recent politics. (shrink)

Pippin offers his reconstruction of Hegel's account of practical reason as a point of departure for contemporary social theory, yet he does not address the implications for us of Hegel's claim that social reflection can achieve its knowledge only on the basis of a world that has already become rational. After arguing that the unreasonableness of our world can be seen from the suffering it generates, I argue that an account of violence may be a way to retrieve the promise (...) of Hegelian insights so long as it draws in turn on existing challenges to violence and the suffering it causes. The argument discusses four kinds of violence (direct, formative, structural, and symbolic) and confronts these with a neo-Hegelian conception of social learning. (shrink)

Philosophical investigation of human nature has a long, distinguished, and multifaceted history. In the East some of the most heated philosophical disputes pertaining to issues concerning moral self-cultivation centered on disagreements about human nature. Within the Neo-Confucian tradition that developed out of Korea, issues concerning human nature took center stage in a dispute now known as the “Horak Debate” that began in the eighteenth century. In this paper I seek to introduce the Horak Debate to contemporary philosophers by (a) historically (...) situating the debate within the tradition of Korean NeoConfucianism, (b) providing an outline of the Horak Debate and identifying its central points of contention, and (c) demonstrating the debate’s philosophical significance by revealing how some of its key issues are rooted in disagreements that continue to concern contemporary philosophers. (shrink)

In Century of Genius: European Thought 1600-1700, Richard T. Vann links selections from the writings of such thinkers as Galileo, Bacon, Hobbes, Pascal, and Newton with interpretative commentary to show how seventeenth-century discoveries in science and mathematics not only changed the way in which men viewed the sun and the fall of apples from a tree, but also influenced forever afterward men's view of themselves. In Vann's interpretation, the spirit of the age was one of confidence and quest, given (...) perhaps its most eloquent expression in Milton's serene assurance that "though all the winds of doctrine were let loose to play upon the earth, so Truth be in the field ... let her and falsehood grapple; who ever knew Truth put to the worse in a free and open encounter?". In Century of Genius: European Thought 1600-1700, Richard T. Vann links selections from the writings of such thinkers as Galileo, Bacon, Hobbes, Pascal, and Newton with interpretative commentary to show how seventeenth-century discoveries in science and mathematics not only changed the way in which men viewed the sun and the fall of apples from a tree, but also influenced forever afterward men's view of themselves. In Vann's interpretation, the spirit of the age was one of confidence and quest, given perhaps its most eloquent expression in Milton's serene assurance that "though all the winds of doctrine were let loose to play upon the earth, so Truth be in the field ... let her and falsehood grapple; who ever knew Truth put to the worse in a free and open encounter?". (shrink)

Revenge is universal in human cultures, and is essentially personal and retributive. Its moral status is contested, as is its rationality. Revenge is traditionally associated with pleasure, but this association is not accounted for in contemporary philosophical treatments of revenge. Here I supply a theory of normal narcissistic functioning that can explain this association. Normal narcissism is an adaptive form of inter-psychic processing which has to do with the regulation of a coherent set of meta-representations of the agent. It can (...) be given a general account by integrating views drawn from clinical traditions, empirical psychology, and contemporary cognitive neuroscience. I explore the neural correlates of normal narcissism, its characteristic accompanying emotions and pleasures/displeasures, and its fundamental dynamics. It is proposed that this allostatic regulatory system plays a prominent role in retributive behavior, including revenge. Revenge is understood as a form of narcissistic repair, and a variety of puzzles concerning revenge are solved from this point of view. (shrink)

Business ethics, which grew out of religion's interest in ethics in business and management education's concern with social issues, has become an interdisciplinary academic field. Thus far it has centered on teaching undergraduates. The easy work has now been done and the field has reached a plateau. To develop further it requires development on the MBA level, high quality research on new questions, positive models, better interdisciplinary integration, and attention to international business. Ultimately the field will stand or fall on (...) the quality of research those in it produce. (shrink)

In preparation for his lectures on Leibniz delivered in Cambridge in Lent Term 1899, Russell started in the summer of 1898 to keep notes on writings by and about Leibniz in a large notebook of the type he commonly used for notetaking at this time. This article prints, with annotation, all the material on Leibniz in that notebook.

The rule that a patient should give a free, fully-informed consent to any therapeutic intervention is traditionally thought to express merely a right of the patient against the physician, and a duty of the physician towards the patient. On this view, the patient may waive that right with impugnity, a fact sometimes expressed in the notion of a right not to know. This paper argues that the rule also expresses a duty of the patient towards the physician and a right (...) of the physician against the patient. The argument turns, first, on the truism that a physician has no obligation to commit a battery, or unauthorized touching, and, second, on the thesis that a patient necessarily cannot consent to something that is unknown to him. The conclusion is drawn that a patient is not free to receive treatment voluntarily without knowledgeably authorizing it. CiteULike Connotea Del.icio.us What's this? (shrink)

Ethical Studies is one of the most enlightening works of moral philosophy in English. This article surveys the principal structural theme running throughout it, but will concentrate on its more explicit development at the beginning and end of the book, Essays II and VI, and the “Concluding Remarks.” Essay II formulates the formal requirements of morality in terms of self-realization, and the remaining Essays survey possible contents, the valuable elements of which are brought together, with further materials, in Essays VI (...) and VII. But Bradley finds that morality involves a contradiction, and so, in order to resolve that contradiction, it issues into something more than morality, namely, religion. However, this article will show that Bradley’s resolution of this contradiction is not satisfactory and that, once morality is conceived as an ἐνέργεια and not a γένεσις, an activity and not a process, this contradiction vanishes. Yet morality does, nevertheless, on Bradley’s own principles, find its completion in religion when so conceived; and such an argument was developed in detail in the great work of one of Bradley’s pupils, A. E. Taylor’s Faith of a Moralist, Vol. I. (shrink)