This book offers a critical account of the fundamental elements of Leibniz's philosophy, as they manifest themselves in his metaphysics and philosophy of language. Emphasis is placed upon his hitherto neglected doctrine of nominalism, which states that only concrete individuals exist and that there are no such things as abstract entities – no numbers, geometrical figures or other mathematical objects, nor any abstractions such as space, time, heat, light, justice, goodness, or beauty. Using this doctrine as a basis, the book (...) considers the core of Leibniz's metaphysics and philosophy of language, including the well‐known principles of Contradiction, Sufficient Reason, Continuity and Individuation, and the concepts of Possible World, Individual Substance, Truth, and Necessity. (shrink)

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)

Legendary since his own time as a universal genius, Gottfried Wilhelm Leibniz (1646-1716) contributed significantly to almost every branch of learning. One of the creators of modern mathematics, and probably the most sophisticated logician between the Middle Ages and Frege, as well as a pioneer of ecumenical theology, he also wrote extensively on such diverse subjects as history, geology, and physics. But the part of his work that is most studied today is probably his writings in metaphysics, which have been (...) the focus of particularly lively philosophical discussion in the last twenty years or so. The writings contain one of the great classic systems of modern philosophy, but the system must be pieced together from a vast and miscellaneous array of manuscripts, letters, articles, and books, in a way that makes especially strenuous demands on scholarship. This book 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 (the famous theory of monads). (shrink)

Volumes I and II provided a completely new translation of the philosophical works of Descartes, based on the best available Latin and French texts. Volume III contains 207 of Descartes' letters, over half of which have previously not been translated into English. It incorporates, in its entirety, Anthony Kenny's celebrated translation of selected philosophical letters, first published in 1970. In conjunction with Volumes I and II it is designed to meet the widespread demand for a comprehensive, authoritative and accurate edition (...) of Descartes' philosophical writings in clear and readable modern English. (shrink)

Mathematician and philosopher Hermann Weyl had our subject dead to rights.

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)

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)

In this comprehensive study of Leibniz’s mature metaphysics, Donald Rutherford attempts to recover Leibniz’s theodicy as an essential part of his philosophy. Although Rutherford does not succeed in showing that the theodicy is essential to Leibniz’s metaphysics, he effectively uses the theodicy as an entry into Leibniz’s metaphysics and he highlights the many links between them. Of course, there are other significant ways of entering Leibniz’s philosophy—he wanted to “do justice to theology as to physics”—but Rutherford reminds us that Leibniz (...) ties all areas, even his dynamics, to the view that this is the best of all possible worlds. (shrink)

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)

John Carriero, Massimo Mugnai, and Daniel Garber have all contributed significantly to our understanding of Leibniz. I am honored to have my book discussed by such distinguished Leibniz interpreters, and their present reviews all push me in ways that I find instructive. I will first discuss issues pertaining to contingency, responding to Carriero’s review and most of Mugnai’s; then issues about bodies, responding to Garber’s review and the last part of Mugnai’s.

In 1985 Daniel Garber published his highly intluential paper “Leibniz and the Foundations of Physics: The Middle Years”. In two recent articles, Garber returns to these issues with a new position - that we should perhaps conclude that Leibniz did not have a view concerning the ultimate ontology of substance during his middle years. I discuss the viability of this position and consider some more general methodological issues that arise from this discussion.

This chapter contains sections titled: The Imaginary Status of Shape: The “Diachronic” Argument The Dominant Synchronic Argument An Alternative Interpretation Shape and Idealism.