In Minkowski spacetime, because of the relativity of simultaneity to the inertial frame chosen, there is no unique world-at-an-instant. Thus the classical view that there is a unique set of events existing now in a three dimensional space cannot be sustained. The two solutions most often advanced are that the four-dimensional structure of events and processes is alone real, and that becoming present is not an objective part of reality; and that present existence is not an absolute notion, but is (...) relative to inertial frame; the world-at-an-instant is a three dimensional, but relative, reality. According to a third view, advanced by Robb, Capek and Stein, what is present at a given spacetime point is, strictly speaking, constituted by that point alone. I argue here against the first of these views that the four-dimensional universe cannot be said to exist now, already, or indeed at any time at all; so that talk of its existence or reality as if that precludes the existence or reality of the present is a non sequitur. The second view assumes that in relativistic physics time lapse is measured by the time co-ordinate function; against this I maintain that it is in fact measured by the proper time, as I argue by reference to the Twin Paradox. The third view, although formally correct, is tarnished by its unrealistic assumption of point-events. This makes it susceptible to paradox, and also sets it at variance with our normal intuitions of the present. I argue that a defensible concept of the present is nonetheless obtainable when account is taken of the non-instantaneity of events, including that of conscious awareness, as that region of spacetime comprised between the forward lightcone of the beginning of a small interval of proper time t and the backward lightcone of the end of that interval. This gives a serviceable notion of what is present to a given event of short duration, as well as saving our intuition of the “reality” or robustness of present events. (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 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 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 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.

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)

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)

HellmanGeoffrey* * and ShapiroStewart.** ** Varieties of Continua—From Regions to Points and Back. Oxford University Press, 2018. ISBN: 978-0-19-871274-9. Pp. x + 208.

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)

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.

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)

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)

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. A previous edition of this book appeared under the title _Natural (...) Deduction_. This new edition adds clarifications of the notions of explanation, validity and formal validity, a more detailed discussion of derivation strategies, and another rule of inference, Reiteration. (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 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)

This article is meant to be suggestive, not thorough, in the themes presented. It is suggestive of the ways in which an existential-phenomenological approach may contribute to an understanding of a fundamental therapeutic and lived issue. Beginning with a very brief description of what is experienced as fundamental in therapy, the ground on which all other issues depend, the developmental framework of Erikson was consulted since it was assumed that therapy was a reflection of life. The most fundamental issue for (...) Erikson was the crisis of basic trust versus basic mistrust. Trust was understood and revealed by him in terms of bodily trust, ego predictability and its social aspects. Using Heidegger's Care Structure as a framework, the absence of the existential, future-oriented characteristic of trust became apparent and the contribution of a phenomenological approach became visible. In using Erikson's word "hope" for this characteristic, it became apparent that not only was the future characteristic added but that within it the bodily and ego aspects could be integrated. Some phenomenological research was referred to which demonstrated that this integration was a fuller and more accurate reflection of human experience than the more specialized psychoanalytic understanding of Erikson. Marcel's description of hope was then consulted for a further understanding of this characteristic and finally the fundamental issue in therapy was identified as a crisis of hope. We use the word hope often in our daily experience. What this article points to as a research topic which would be central to therapy and to the lived world is what we mean when we say, "I hope." The structure of the experience of hoping would reveal much of what is central to both the world of therapy and the lived world. (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)