This book is a collection of essays on the reception of Leibniz’s thinking in the sciences and in the philosophy of science in the 19th and 20th centuries. Authors studied include C.F. Gauss, Georg Cantor, Kurd Lasswitz, Bertrand Russell, Ernst Cassirer, Louis Couturat, Hans Reichenbach, Hermann Weyl, Kurt Gödel and Gregory Chaitin. In addition, we consider concepts and problems central to Leibniz’s thought and that of the later authors: the continuum, space, identity, number, the infinite and the infinitely small, the projects of a universal language, a calculus of logic, a mathesis universalis etc. The book brings together two fields of research in the history of philosophy and of science (research on Leibniz, and the research concerned with some major developments in the 19th and 20th centuries); it describes how Leibniz’s thought appears in the works of these authors, in order to better understand Leibniz’s influence on contemporary science and philosophy; but it also assesses that reception critically, confronting it in particular with the current state of Leibniz research and with the various editions of his work.

In 1710 G. W. Leibniz published Theodicy: Essays on the Goodness of God, the Freedom of Man, and the Origin of Evil. This book, the only one he published in his lifetime, established his reputation more than anything else he wrote. The Theodicy brings together many different strands of Leibniz's own philosophical system, and we get a rare snapshot of how he intended these disparate aspects of his philosophy to come together into a single, overarching account of divine justice in the face of the world's evils. At the same time, the Theodicy is a fascinating window into the context of philosophical theology in the seventeenth century. Leibniz had his finger on the intellectual pulse of his time, and this comes out very clearly in the Theodicy. He engages with all of the major lines of theological dispute of that time, demonstrating the encyclopaedic breadth of his understanding of the issues. Leibniz's Theodicy remains one of the most abiding systematic accounts of how evil is compatible with divine goodness. Any treatment of the problem of evil must, at some point, come to grips with Leibniz's proposed solution. This volume refreshes and deepens our understanding of this great work. Leading scholars present original essays which critically evaluate the Theodicy, providing a window on its historical context and giving close attention to the subtle and enduring philosophical arguments.

This volume tells the story of the legacy and impact of the great German polymath Gottfried Wilhelm Leibniz (1646-1716). Leibniz made significant contributions to many areas, including philosophy, mathematics, political and social theory, theology, and various sciences. The essays in this volume explores the effects of Leibniz’s profound insights on subsequent generations of thinkers by tracing the ways in which his ideas have been defended and developed in the three centuries since his death. Each of the 11 essays is concerned with Leibniz’s legacy and impact in a particular area, and between them they show not just the depth of Leibniz’s talents but also the extent to which he shaped the various domains to which he contributed, and in some cases continues to shape them today. With essays written by experts such as Nicholas Jolley, Pauline Phemister, and Philip Beeley, this volume is essential reading not just for students of Leibniz but also for those who wish to understand the game-changing impact made by one of history’s true universal geniuses.

In the New Essays on Human Understanding, Leibniz argues chapter by chapter with John Locke's Essay Concerning Human Understanding, challenging his views about knowledge, personal identity, God, morality, mind and matter, nature versus nurture, logic and language, and a host of other topics. The work is a series of sharp, deep discussions by one great philosopher of the work of another. Leibniz's references to his contemporaries and his discussions of the ideas and institutions of the age make this a fascinating and valuable document in the history of ideas. The work was originally written in French, and the version by Peter Remnant and Jonathan Bennett, based on the only reliable French edition (published in 1962), first appeared in 1981 and has become the standard English translation. It has been thoroughly revised for this series and provided with a new and longer introduction, a chronology on Leibniz's life and career and a guide to further reading.

Ernst Cassirer (1874–1945) occupies a unique place in 20th-century philosophy. His view that human beings are not rational but symbolic animals and his famous dispute with Martin Heidegger at Davos in 1929 are compelling alternatives to the deadlock between 'analytic' and 'continental' approaches to philosophy. An astonishing polymath, Cassirer's work pays equal attention to mathematics and natural science but also art, language, myth, religion, technology, and history. However, until now the importance of his work has largely been overlooked. In this outstanding introduction Samantha Matherne examines and assesses the full span of Cassirer’s work. Beginning with an overview of his life and works she covers the following important topics: Cassirer’s neo-Kantian background Philosophy of mathematics and natural science, including Cassirer’s first systematic work, Substance and Function, and subsequent works, like Einstein’s Theory of Relativity The problem of culture and the ground-breaking The Philosophy of Symbolic Forms Cassirer’s ethical and political thought and his diagnosis of fascism in The Myth of the State Cassirer’s influence and legacy. Including chapter summaries, suggestions for further reading, and a glossary of terms, this is an ideal introduction to Cassirer’s thought for anyone coming to his work for the first time. It is essential reading for students in philosophy as well as related disciplines such as intellectual history, art history, politics, and literature.

Recovering the forgotten discipline of Natural Philosophy for the modern world This book argues for the retrieval of 'natural philosophy', a concept that faded into comparative obscurity as individual scientific disciplines became established and institutionalized. Natural philosophy was understood in the early modern period as a way of exploring the human relationship with the natural world, encompassing what would now be seen as the distinct disciplines of the natural sciences, mathematics, music, philosophy, and theology. The first part of the work represents a critical conversation with the tradition, identifying the essential characteristics of natural philosophy, particularly its emphasis on both learning about and learning from nature. After noting the factors which led to the disintegration of natural philosophy during the nineteenth century, the second part of the work sets out the reasons why natural philosophy should be retrieved, and a creative and innovative proposal for how this might be done. This draws on Karl Popper's 'Three Worlds' and Mary Midgley's notion of using multiple maps in bringing together the many aspects of the human encounter with the natural world. Such a retrieved or 're-imagined' natural philosophy is able to encourage both human attentiveness and respectfulness towards Nature, while enfolding both the desire to understand the natural world, and the need to preserve the affective, imaginative, and aesthetic aspects of the human response to nature.

This book considers different forms of voluntarism developed from the thirteenth to eighteenth centuries. By crossing the conventional dividing line between the medieval and early modern periods, the volume draws important new insights on the historical development of voluntarism. Voluntarism places a special emphasis on the will when it comes to the analysis and explanation of fundamental philosophical questions and problems. Since the Middle Ages, voluntarist considerations and views played an important role in the development of different theories of action, ethics, metaethics, and metaphysics. The chapters in this volume are grouped according to three distinct kinds of voluntarism: psychological, ethical, and theological voluntarism. They address topics such as the threat of irrationality as the standard objection to voluntarism, incontinent actions and their explanation, the nature of the will as rational appetite, the relationship between intellect and will, the implications of conceptions of the will for political freedom, and the relations between divine freedom and the modal status of eternal truths. The chapters not only consider towering figures of the Middle Ages—Thomas Aquinas, Henry of Ghent, William of Ockham, Francisco de Vitoria—and early modern period—René Descartes, Thomas Hobbes, Gottfried Wilhelm Leibniz, Samuel Pufendorf—but also engage with less well-known figures such as Peter John Olivi, John of Pouilly, Catharine Trotter Cockburn, and Christian August Crusius. Varieties of Voluntarism in Medieval and Early Modern Philosophy will appeal to scholars and advanced students working in medieval philosophy, early modern philosophy, the history of ethics, and philosophy of religion.

This book investigates Hermann Weyl’s work on the problem of space from the early 1920s onwards. It presents new material and opens the philosophical problem of space anew, crossing the disciplines of mathematics, history of science and philosophy. With a Kantian starting point Weyl asks: among all the infinitely many conceivable metrical spaces, which one applies to the physical world? In agreement with general relativity, Weyl acknowledges that the metric can quantitatively vary with the physical situation. Despite this freedom, Weyl “deduces”, with group-theoretical technicalities, that there is only one “kind” of legitimate metric. This construction was then decisive for the development of gauge theories. Nevertheless, the question of the foundations of the metric of physical theories is only a piece of a wider epistemological problem. Contributing authors mark out the double trajectory that goes through Weyl’s texts, from natural science to philosophy and conversely, always through the mediation of mathematics. Readers may trace the philosophical tradition to which Weyl refers and by which he is inspired (Kant, Husserl, Fichte, Leibniz, Becker etc.), and explore the mathematical tradition (Riemann, Helmholtz, Lie, Klein) that permitted Weyl to elaborate and solve his mathematical problem of space. Furthermore, this volume analyzes the role of the interlocutors with whom Weyl discussed the nature of physical space (Einstein, Cartan, De Sitter, Schrödinger, Eddington). This volume features the work of top specialists and will appeal to postgraduates and scholars in philosophy, the history of science, mathematics, or physics.

Recovering a lost world of the politics of science in Imperial Germany, Gregory B. Moynahan approaches the life and work of the philosopher and historian Ernst Cassirer (1874–1945) from a revisionist perspective, using this framework to redefine the origins of twentieth-century critical historicism and critical theory. The only text in English to focus on the first half of the polymath Cassirer’s career and his role in the Marburg School, this volume illuminates one of the most important – and in English, least-studied – reform movements in Imperial Germany.