In his early discussion of the structure of matter and motion, Leibniz quite explicitly appeals to Aristotle's characterization of continuity, and seems to adopt something like it as his own. Commentators usually assume that Leibniz continues to understand the notion of continuity in this way for the rest of his life. This paper argues that although he does continue to use something like the Aristotelian conception well into the mature period of his thought, he articulates a second sense of continuity (...) in his later writings that proves to be a greater importance to the exposition of his mature metaphysics. (shrink)

This book, first published in 1975, provides critical and comprehensive introduction to the philosophy of Leibniz.

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)

By what process of development he came to this opinion, though in itself an important and interesting question, is logically irrelevant to the inquiry how far the opinion itself is correct ; and among his opinions, when these have been ascertained, it becomes desirable to prune away such as seem inconsistent with his main doctrines, before those doctrines themselves are subjected to a critical scrutiny. Philosophic truth and falsehood, in short, rather than historical fact, are what primarily demand our attention (...) in this inquiry. (shrink)

Editor’s Choice for 21st Anniversary Special Edition. Originally published in British Journal for the History of Philosophy, 7(1) (1999), 57-78.

Leibniz’s mature philosophical understanding of the laws of nature emerges rather suddenly in the late 1670’s to early 1680’s and is signaled by his embrace of three central theses.1 The first, what I’ll call the thesis of Contingency, suggests that the laws of nature are not only contingent, but, in some sense, paradigmatically contingent; they are supposed to provide insight into the very nature of contingency as Leibniz comes to understand it. The second, what I’ll call the thesis of Providence, (...) suggests that the laws of nature provide a basis for a new argument from design by showing how reflection on God’s ends can be positively useful in the practice of natural philosophy. The third, what I’ll call thesis of .. (shrink)

Leibniz holds that nothing in nature strictly corresponds to any geometric curve or surface.Yet on Leibniz’s view, physicists are usually able to ignore any such lack of correspondence and to investigate nature using geometric representations. The primary goal of this essay is to elucidate Leibniz’s explanation of how physicists are able to investigate nature geometrically, focussing on two of his claims: (i) there can be things innature which approximate geometric objects to within any given margin of error; (ii) the truths (...) of geometry state laws by which the phenomena of nature are governed. A corollary of Leibniz’s explanation is that physical bodies do have boundaries with which geometric surfaces can be compared to very high levels of precision. I argue that the existence of these physical boundaries is mind-independent to such an extent as to pose a significant challenge to idealist interpretations of Leibniz. (shrink)

Leibniz holds that nothing in nature strictly corresponds to any geometric curve or surface.Yet on Leibniz’s view, physicists are usually able to ignore any such lack of correspondence and to investigate nature using geometric representations. The primary goal of this essay is to elucidate Leibniz’s explanation of how physicists are able to investigate nature geometrically, focussing on two of his claims: (i) there can be things innature which approximate geometric objects to within any given margin of error; (ii) the truths (...) of geometry state laws by which the phenomena of nature are governed. A corollary of Leibniz’s explanation is that physical bodies do have boundaries with which geometric surfaces can be compared to very high levels of precision. I argue that the existence of these physical boundaries is mind-independent to such an extent as to pose a significant challenge to idealist interpretations of Leibniz. (shrink)

Adams presents an in-depth interpretation of three important parts of Leibniz's metaphysics, thoroughly grounded in the texts as well as in philosophical analysis and critique. The three areas discussed are the metaphysical part of Leibniz's philosophy of logic, his essentially theological treatment of the central issues of ontology, and his theory of substance. Adams' work helps make sense of one of the great classic systems of modern philosophy.

In the present book, Pauline Phemister argues against traditional Anglo-American interpretations of Leibniz as an idealist who conceives ultimate reality as a plurality of mind-like immaterial beings and for whom physical bodies are ultimately unreal and our perceptions of them illusory. Re-reading the texts without the prior assumption of idealism allows the more material aspects of Leibniz's metaphysics to emerge. Leibniz is found to advance a synthesis of idealism and materialism. His ontology posits indivisible, living, animal-like corporeal substances as the (...) real metaphysical constituents of the universe; his epistemology combines sense-experience and reason; and his ethics fuses confused perceptions and insensible appetites with distinct perceptions and rational choice. In the light of his sustained commitment to the reality of bodies, Phemister re-examines his dynamics, the doctrine of pre-established harmony and his views on freedom. The image of Leibniz as a rationalist philosopher who values activity and reason over passivity and sense-experience is replaced by the one of a philosopher who recognises that, in the created world, there can only be activity if there is also passivity; minds, souls and forms if there is also matter; good if there is evil; perfection if there is imperfection. (shrink)

Available for the first time in English, this critical translation draws from the original seven Latin editions and Georg Friedrich Meier's 18th-century German translation. Together with a historical and philosophical introduction, extensive glossaries and notes, the text is supported by translations of Kant's elucidations and notes, Eberhard's insertions in the 1783 German edition and texts from the writings of Meier and Wolff. For scholars of Kant, the German Enlightenment and the history of metaphysics, Alexander Baumgarten's Metaphysics is an essential, authoritative (...) resource to a significant philosophical text. (shrink)

Looks at the history of the calculus of variations, describes the connection between soap films and mathematical structure, and discusses the design of buildings and living things.

Few philosophers have left a legacy like that of Gottfried Wilhelm Leibniz. He has been credited not only with inventing the differential calculus, but also with anticipating the basic ideas of modern logic, information science, and fractal geometry. He made important contributions to such diverse fields as jurisprudence, geology and etymology, while sketching designs for calculating machines, wind pumps, and submarines. But the common presentation of his philosophy as a kind of unworldly idealism is at odds with all this bustling (...) practical activity. In this book Richard. T. W. Arthur offers a fresh reading of Leibniz’s philosophy, clearly situating it in its scientific, political and theological contexts. He argues that Leibniz aimed to provide an improved foundation for the mechanical philosophy based on a new kind of universal language. His contributions to natural philosophy are an integral part of this programme, which his metaphysics, dynamics and organic philosophy were designed to support. Rather than denying that substances really exist in space and time, as the idealist reading proposes, Leibniz sought to provide a deeper understanding of substance and body, and a correct understanding of space as an order of situations and time as an order of successive things. This lively and approachable book will appeal to students of philosophy, as well as anyone seeking a stimulating introduction to Leibniz's thought and its continuing relevance. (shrink)

Gottfried Wilhelm Leibniz was one of the central figures of seventeenth-century philosophy, and a huge intellectual figure in his age. This book from Glenn A. Hartz is an advanced study of Leibniz's metaphysics. Hartz analyzes a very complicated topic, widely discussed in contemporary commentaries on Leibniz, namely the question of whether Leibniz was a metaphysical idealist, realist, or whether he tried to reconcile both trends in his mature philosophy. Because Leibniz is notoriously unclear about this, much has been written on (...) the subject. In recent years, the debate has centered on whether it is possible to maintain compatibility between the two trends. In this controversial book, Hartz demonstrates that it is not possible to maintain compatibility of idealist and realist views - they must be understood as completely separate theories. As the first major work on realism in Leibniz's metaphysics, this key text will interest international Leibniz scholars, as well as students at the graduate level. (shrink)

Sir Isaac Newton (1642-1727) left a voluminous legacy of writings. Despite his influence on the early modern period, his correspondence, manuscripts, and publications in natural philosophy remain scattered throughout many disparate editions. In this volume, Newton's principal philosophical writings are for the first time collected in a single place. They include excerpts from the Principia and the Opticks, his famous correspondence with Boyle and with Bentley, and his equally significant correspondence with Leibniz, which is often ignored in favor of Leibniz's (...) later debate with Samuel Clarke. Newton's exchanges with Leibniz place their different understandings of natural philosophy in sharp relief. The volume also includes 'De Gravitatione', offered here in a corrected translation, which is crucial for understanding Newton's relation to his great predecessor Descartes. In a historical and philosophical introduction, Andrew Janiak examines Newton's philosophical positions and his relations to canonical figures in early modern philosophy. (shrink)

The thirty chapters work through various fundamental metaphysical issues, sometimes focusing more on scholastic thought, sometimes on the seventeenth century.

This is the most up-to-date and comprehensive interpretation of the philosophy of Gottfried Wilhelm Leibniz. Amongst its other virtues, it makes considerable use of unpublished manuscript sources. The book seeks to demonstrate the systematic unity of Leibniz's thought, in which theodicy, ethics, metaphysics and natural philosophy cohere. The key, underlying idea of the system is the conception of nature as an order designed by God to maximise the opportunities for the exercise of reason. From this idea emerges the view that (...) this world is the best of all possible worlds, and an ethical ideal in which the well-being of human beings is promoted through the gradual extension of intellectual enlightenment. (shrink)

Robert Batterman examines a form of scientific reasoning called asymptotic reasoning, arguing that it has important consequences for our understanding of the scientific process as a whole. He maintains that asymptotic reasoning is essential for explaining what physicists call universal behavior. With clarity and rigor, he simplifies complex questions about universal behavior, demonstrating a profound understanding of the underlying structures that ground them. This book introduces a valuable new method that is certain to fill explanatory gaps across disciplines.

On the now dominant Quinean view, metaphysics is about what there is. Metaphysics so conceived is concerned with such questions as whether properties exist, whether meanings exist, and whether numbers exist. I will argue for the revival of a more traditional Aristotelian view, on which metaphysics is about what grounds what. Metaphysics so revived does not bother asking whether properties, meanings, and numbers exist (of course they do!) The question is whether or not they are fundamental.

In this paper we argue for the robustness of Leibniz's commitment to the reality (but not substantiality) of body. We claim that a number of his most important metaphysical doctrines — among them, psychophysical parallelism, the harmony between efficient and final causes, the connection of all things, and the argument for the plurality of substances stemming from his solution to the continuum problem— make no sense if he is interpreted as giving an eliminative reduction of bodies to perceptions.

A number of philosophers have recently become receptive to the idea that, in addition to scientific or causal explanation, there may be a distinctive kind of metaphysical explanation, in which explanans and explanandum are connected, not through some sort of causal mechanism, but through some constitutive form of determination. I myself have long been sympathetic to this idea of constitutive determination or ‘ontological ground’; and it is the aim of the present paper to help put the idea on a firmer (...) footing - to explain how it is to be understood, how it relates to other ideas, and how it might be of use in philosophy. (shrink)

In der neuen Literatur tiber Leibniz' Spatphilosophie findet man zwei deutlich einander entgegengesetzte Theorien Uber die Realitat des Körpers. Auf der einen Seite gibt es Gesichtspunkte, die ihn mit einer Phänomenalismuslehre verbinden, nach welcher die Körper nichts anderes als koordinierte Perzeptionen unausgedehnter Monaden sind. Auf der anderen Seite gibt es Griinde, die dafur sprechen, daß Leibniz die Auffassung vertreten muß, daß Körper Aggregate von Monaden sind. In diesem Aufsatz suche ich zu zeigen, daß die phanomenalistische Interpretation aufgrund der starken Textzeugnisse, (...) die Leibniz beständig zur Aggregatthese hindrängen, zuriickzuweisen ist. Daruber hinaus weise ich jedoch die verbreitete Auffassung eben der Aggregatthese zurück, d. h. die Meinung, gewisse Vielheiten von Monaden riefen bloß die Illusion, Körper zu sein, hervor, wenn sie durch andere Monaden M falsch perzipiert" werden. Gegen diese Auffassung des falschen Perzipierens ftihre ich ins Feld, daß die Aggregatthese als ein Deutungsversuch der Natur oder des Wesens des Körpers verstanden werden mufi. Wenn Leibniz sagt, Körper seien Aggregate von Monaden, so ist das nicht als blofie Behauptung, gewisse Monaden erschienen anderen Monaden als Körper, zu verstehen, sondern als die These, daß jeder Körper seinem Wesen nach eine Vielheit von Monadenist. (shrink)

Leibniz est-il devenu phénoménaliste pendant ses années dernières ? Contre Furth et Loeb, ce travail rend une réponse négative à cette question. Quoique Leibniz a caressé les idées phénoménalistes, il ne les a jamais vraiment acceptées ; au contraire, il soutient une autre thèse réductioniste, c'est-à-dire que les corps sont des agrégats des monades. Cependant, cette conclusion entraîne ses propres difficultés, car à certains égards, la doctrine phénoménaliste paraît plus satisfaisante que l'option concurrante. On soutient que la répugnance leibnizienne à (...) accepter le phénoménalisme doit s'expliquer par son dessein de concilier la monadologie et la physique. (shrink)