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 is an excellent textbook on Neoplatonism which gives the reader a very concise and lucid overview of the basic doctrines and leading thinkers of the last great philosophy to emerge before the Christianization of the Roman Empire. I’ve no doubt that my students next semester will benefit from the analyses contained in the book. The contents of the chapters are very informative and adequately place developments in their socio-cultural context." --Michael B. Simmons, Auburn University at Montgomery.

In this interview, C. P. Goodman invites British Polanyi scholar Richard T. Allen to reflect on his interest in Polanyi’s philosophical ideas and share what he believes is valuable in his thought.

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)

This article responds to a common criticism of Aristotelian naturalism known as the Pollyanna Problem, the objection that Aristotelian naturalism, when combined with recent empirical research, generates morally unacceptable conclusions. In developing a reply to this objection, I draw upon the conception of human nature developed by the ancient Chinese philosopher Mencius, and build up an account of ethical naturalism that provides a satisfying response to the Pollyanna Problem while also preserving what is most attractive about Aristotelian naturalism.

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)

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)

The reappearance of the question of moral judgments by historians makes a reappraisal of the issues timely. Almost all that has been written on the subject addresses only the propriety of moral judgments in the written texts historians produce. However, historians have to make moral choices when selecting a subject upon which to write; and they make a tacit moral commitment to write and teach honestly. Historians usually dislike making explicit moral evaluations, and have little or no training in how (...) to do so. They can argue it’s not their job; they are only finders of fact. Historians holding a determinist view of actions do not think it appropriate to blame people for doing what they couldn’t help doing; for those believing there is an overall pattern to history, individual morality is beside the point. Finally, since earlier cultures had values different from ours, it seems unjust to hold them to contemporary standards. This essay modifies or rejects these arguments. Some historians have manifested ambivalence, acknowledging it is difficult or impossible to avoid making moral evaluations . Ordinary-language philosophers, noting that historiography has no specialized vocabulary, see it as saturated by the values inherent in everyday speech and thought. I argue that the historicist argument about the inevitably time-bound limitation of all values is exaggerated. Historians who believe in the religious grounding of values obviously disagree with it; but even on a secular level, morals are often confused with mores. If historians inevitably make moral evaluations, they should examine what philosophical ethicists—virtue ethicists, deontologists, and consequentialists—have said about how to make them; and even if they find no satisfactory grounding for their own moral attitudes, it is a brute fact that they have them. I end with an argument for “strong evaluations”—neither treating them as a troublesome residue in historiography nor, having despaired of finding a solid philosophical ground for moral evaluations, concluding that they are merely matters of taste. I believe historians should embrace the role of moral commentators, but that they should be aware that their evaluations are, like all historical judgments, subject to the criticisms of their colleagues and readers. Historians run little risk of being censorious and self-righteous; the far greater danger is acquiescing in or contributing to moral confusion and timidity. (shrink)

In this paper I offer a fresh interpretation of Leibniz’s theory of space, in which I explain the connection of his relational theory to both his mathematical theory of analysis situs and his theory of substance. I argue that the elements of his mature theory are not bare bodies (as on a standard relationalist view) nor bare points (as on an absolutist view), but situations. Regarded as an accident of an individual body, a situation is the complex of its angles (...) and distances to other co-existing bodies, founded in the representation or state of the substance or substances contained in the body. The complex of all such mutually compatible situations of co-existing bodies constitutes an order of situations, or instantaneous space. Because these relations of situation change from one instant to another, space is an accidental whole that is continuously changing and becoming something different, and therefore a phenomenon. As Leibniz explains to Clarke, it can be represented mathematically by supposing some set of existents hypothetically (and counterfactually) to remain in a fixed mutual relation of situation, and gauging all subsequent situations in terms of transformations with respect to this initial set. Space conceived in terms of such allowable transformations is the subject of Analysis Situs. Finally, insofar as space is conceived in abstraction from any bodies that might individuate the situations, it encompasses all possible relations of situation. This abstract space, the order of all possible situations, is an abstract entity, and therefore ideal. (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)

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 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.

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)

This volume contains all of the presidential addresses given before the American Society for Value Inquiry since its first meeting in 1970. Contributions are by Richard Brandt*, Virgil Aldrich*, John W. Davis*, the late Robert S. Hartman*, James B. Wilbur*, the late William H. Werkmeister, Robert E. Carter, the late William T. Blackstone, Gene James, Eva Hauel Cadwallader, Richard T. Hull, Norman Bowie*, Stephen White*, Burton Leiser+, Abraham Edel, Sidney Axinn, Robert Ginsberg, Patricia Werhane, Lisa M. Newton, Thomas (...) Magnell, Sander Lee, John M. Abbarno, Ruth Miller Lucier, and Tom Regan*. Autobiographical sketches* by all of the living contributors and one recently deceased, biographical statements of the remainder, together with photographic portraits of all the contributors*, make this volume a unique record of value inquiry during the past quarter century. __. (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)

Philosophers have constituted business ethics as a field by providing a systematic overview that interrelates its problems and concepts and that supplies the basis for building on attained results. Is there a properly theological task in business ethics? The religious/theological literature on business ethics falls into four classes: (1) the application of religious morality to business practices; (2) the use of encyclical teachings about capitalism; (3) the interpretation of business relations in agapa-istic terms; and (4) the critique of business from (...) a liberation theological point of view. Theologians have not adequately addressed the questions of whether there are particular theological tasks in the field as they define it, and whether, if they define it, the theological definition is different from the philosophical. (shrink)

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)

The American philosophical Association was founded in 1900 to promote the exchange of ideas among philosophers and to facilitate the professional work and teaching of philosophers. Having grown from a few hundred members to over 10,000, the APA is one of the largest philosophical societies in the world and the only American philosophical society not devoted to a particular school or philosophical approach. In 1999, in anticipation of its centennial, the APA authorized philosopher Richard T. Hull to begin collecting (...) and publishing the presidential addresses delivered over the course of the twentieth century. The first five volumes, covering the years 1901 to 1950, have now been published and are available exclusively from Prometheus Books. Besides the presidential addresses, each volume contains biographies and photographs of the APA presidents, a list of their birthplaces, a chronology of the APA, a list of presidents per decade, a list of universities and colleges closely associated with each president, and name and subject indices. A total of eleven volumes are planned to complete the collection, the final volume being devoted to historical essays in 20th-century American philosophy. This unique record of the development and leadership of American philosophy during its flowering in the twentieth century will complement the libraries of both professional philosophers and interested nonprofessionals. (shrink)

Following the lead of Hans Reichenbach in the early twentieth century, many authors have attributed a causal theory of time to Leibniz. My exposition of Leibniz’s theory of time in a paper of 1985 has been interpreted as a version of such a causal theory, even though I was critical of the idea that Leibniz would have tried to reduce relations among monadic states to causal relations holding only among phenomena. Since that time previously unpublished texts by Leibniz have become (...) available in which he himself explains temporal precedence in terms of causal precedence, and these texts have been given careful scrutiny by other scholars, such as Jan Cover, Stefano Di Bella and Michael Futch. In this paper I respond to their analyses, and try to make precise the way in which Leibniz’s views on time and on causality fit together in his metaphysics. (shrink)

Richard Arthur’s _Natural Deduction_ provides a wide-ranging introduction to logic. In lively and readable prose, Arthur presents a new approach to the study of logic, one that seeks to integrate methods of argument analysis developed in modern “informal logic” with natural deduction techniques. The dry bones of logic are given flesh by unusual attention to the history of the subject, from Pythagoras, the Stoics, and Indian Buddhist logic, through Lewis Carroll, Venn, and Boole, to Russell, Frege, and Monty Python.

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)

Good Morning! When I was asked to talk on the subject of Dying in America at a breakfast meeting, It occurred to me that I might get to make some wisecracks about how we eat, at a breakfast where we would be served croissants, butter, sausage and eggs, and berries served with Devonshire cream: certainly the most tasteful form of dying in America! Nor have we been disappointed: quiche and ham should do quite nicely. Then, after last Tuesday’s election, someone (...) approached me and asked if my talk was gong to be on Democratic Party politics. I suppose the title “Dying in America: might fit that subject very nicely! Another wag asked whether I was going to discuss the Buffalo Bills’ current football season . . . . All of these possible applications of the phrase “Dying in America” point to the enormous importance we attach to the idea of dying, and the ways we use that idea in our very metaphorical language. That kind of richness of language is a sure sign, as Joseph Campbell would remind us, that culturally pervasive myths are constructed around the idea of dying. Now, I don’t intend to talk about Campbell’s views at all today, and I will avoid a short course on myths. But I will make just one or two observations about myths so that you are not uncomfortable with my later use of the term. For one of our myths about myths is that, in this educated and scientifically literate society, we don’t have any myths; myths are supposed to be the glue of fictional beliefs that holds primitive societies together, and we certainly are not primitive. Well, let me explain how I intend to use the idea of myth to illuminate some of our values and practices associated with the idea of dying in America. First, by a myth I mean a culturally pervasive set of beliefs and values that tends to center on a single, simple archetypal image or scenario. And second, by calling something mythic I mean to invoke perhaps a number of myths operating as a cluster of culturally important determinants of attitudes and behaviors.. (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)

Thêsauroi, or treasure-houses, are small, temple-like structures, found typically in the sanctuaries of Delphi and Olympia. They were built by Greek city-states to house the dedications of their citizens. But a thêsauros is not just a storeroom: it is also a frame for costly votives, a way of diverting elite display in the interest of the city. When placed on view in a treasure-house, the individual dedication is re-contextualized: although it still reflects well on its dedicant, it also glorifies the (...) polis. Thêsauroi effectively nationalize votives—and, with them, a dedicant's privileged relationship to the gods. The sculptural program of the Siphnian treasury exemplifies these issues. (shrink)

Descartes' allusions, in the Meditations and the Principles, to the individual moments of duration, has for some years stirred controversy over whether this commits him to a kind of time atomism. The origins of Descartes' way of treating moments as least intervals of duration can be traced back to his early collaboration with Isaac Beeckman. Where Beeckman (in 1618) conceived of moments as (mathematically divisible) physical indivisibles, corresponding to the durations of uniform motions between successive impacts on a body by (...) microscopic particles, Descartes was able to give a mathematical treatment of the problem of fall in which moments were rendered mathematical minima of motion that were necessarily devoid of extension. This achievement, coupled with his innovation of conceiving force as instantaneous tendency to motion, subsequently led him to disdain Beeckman's discretist physics with its extended indivisible moments. Nevertheless, he was not able to eradicate a fundamental tension in his philosophy between force as a quantity of motion, and force as an instantaneous tendency to motion. For by his principles, action, motion, quantity of motion, and indeed existence, all require some minimal interval of duration. This explains his need to refer to moments as least conceivable parts of duration, and this is what has given rise to the impression that he supposed duration to be composed of such parts, contrary to his commitment to continuous creation. (shrink)

This essay is an appreciation of Massimo Mugnai’s many contributions to Leibniz scholarship, as well as to the history of logic and history of philosophy more generally.

G. E. Moore attended Russell’s lectures on Leibniz in 1899 and kept detailed notes which have been preserved among his papers. The present article prints his notes in their entirety with annotations.

Previous work suggests that threat-related stimuli are stored to a greater degree in working memory compared to neutral stimuli. However, most of this research has focused on stimuli with physically salient threat attributes, failing to account for how a “neutral” stimulus that has acquired threat-related associations through differential aversive conditioning influences working memory. The current study examined how differentially conditioned safe and threat stimuli are stored in working memory relative to a novel, non-associated stimuli. Participants completed a differential fear conditioning (...) task followed by a change detection task consisting of three conditions across two loads. Results revealed individuals successfully learned to distinguishing CS+ from CS– conditions during the differential aversive conditioning task. Our working memory outcomes indicated successful load manipulation effects, but no statistically significant differences in accuracy, response time, or Pashler’s K measures of working memory capacity between CS+, CS–, or N conditions. However, we observed significantly reduced RT difference scores for the CS+ compared to CS– condition, indicating greater RT differences between the CS+ and N condition vs. the CS– and N condition. These findings suggest that differentially conditioned stimuli have little impact on behavioral outcomes of working memory compared to novel stimuli that had not been associated with previous safe of aversive outcomes, at least in healthy populations. (shrink)