La noción de sustancia, tal como la propongo, es tan fecunda, que de ella surgen las verdades primarias y originarias y, en realidad, referentes a Dios, las almas y la naturaleza de los cuerpos (es decir, a todo esto y a sus ámbitos). Se trata de verdades conocidas en parte pero poco demostradas; en parte desconocidas hasta ahora, sin embargo, de un gran significado para las demás ciencias.

Desde que hablamos por primera vez de una nueva ciencia de la dinámica, la cual debe aún fundamentarse, una serie de hombres destacados ha dado a conocer en diferentes lugares sus intenciones de una exposición más detallada de esta doctrina puesto que nuestro tiempo aún no es suficiente para un libro, queremos por eso presentar aquí un proyecto que al menos pueda dar ya alguna luz, y que quizás algún día nos sea restituidocon interés e interés compuesto, cuando sea logrado (...) por hombres que, al servirse tanto de una fuerza del pensamiento como de una sutileza de estilo, muevan a la manifestación de sus opiniones. Su juicio es siempre deseado por nosotros y, como ha de esperarse, útil para la realización de nuestra obra. (shrink)

La cuestión referente a la verdad y falsedad de las ideas es tratada fervorosamente en la actualidad por hombres ilustres; y puesto que el propio Descartes no ha encontrado una solución satisfactoria a este problema, el cual es de gran significado para el conocimiento de la verdad, quisiera exponer brevemente mi interpretación acerca de los rasgos característicos y los criterios de las ideas y de los conocimientos. Pues bien, un conocimiento es oscuro o claro; un conocimiento claro es a su (...) vez confuso o distinto; un conocimiento distinto, inadecuado o adecuado; simbólico o intuitivo; finalmente, el conocimiento más completo será aquel que sea al mismo tiempo adecuado e intuitivo. (shrink)

Discourse on Metaphysics and Other Essays contains complete translations of the two essays that constitute the best introductions to Leibniz's complex thought: Discourse on Metaphysics of 1686 and Monadology of 1714. These are supplemented with two essays of special interest to the student of modern philosophy, On the Ultimate Origination of Things of 1697 and the Preface to his New Essays of 1703-1705. The translations are taken from Leibniz, Philosophical Essays, edited and translated by Roger Ariew and Daniel (...) Garber (Hackett, 1989). (shrink)

In the early years of the eighteenth century Leibniz had several interactions with John Toland. These included, from 1702 to 1704, discussions of materialism. Those discussions culminated with the consideration of Toland's 1704 Letters to Serena, where Toland argued that matter is necessarily active. In this paper I argue for two main theses about this exchange and its consequences for our wider understanding. The first is that, despite many claims that Toland was at the time of Letters to Serena (...) a Spinozist, we can make better sense of him as a sort of Hobbesian materialist. The second main point concerns reasons for materialism, and in particular a story Locke tells in the Essay about materialists' motives. Toland defends his materialism by arguing that matter is active, and argues that matter is active by using a conceivability argument. But this is not the crude conceivability argument that Locke suggests motivates materialists. This (together with reflecting on some of Hobbes's arguments) suggests that we might well tell a Lockean story about reasons for early modern materialism, but not Locke's story. (shrink)

This chapter examines the pioneering work of Gottfried Wilhelm Leibniz (1646-1716) on various number systems, in particular binary, which he independently invented in the mid-to-late 1670s, and hexadecimal, which he invented in 1679. The chapter begins with the oft-debated question of who may have influenced Leibniz’s invention of binary, though as none of the proposed candidates is plausible I suggest a different hypothesis, that Leibniz initially developed binary notation as a tool to assist his investigations in mathematical (...) problems that were exercising him at the time, namely those concerning the divisibility of composite numbers, primality, and perfect numbers. The chapter then explores Leibniz’s development of binary, his little-known work on binary fractions and expansions, his use of binary as a symbol for creation in his philosophical-theology, and his response to the suggestion that there was a correlation between binary numeration and the hexagrams of the ancient Chinese divinatory text, the Yijing. The chapter then focuses on Leibniz’s work on other number systems, in particular his invention and exploration of hexadecimal as well as his work on duodecimal. The chapter concludes by revealing a hitherto unknown practical application of binary that Leibniz devised in the last year of his life. (shrink)

The central task of this dissertation is to develop a new interpretation of Leibniz's famous claim that there are no purely extrinsic denominations . Though Leibniz regarded NPE as one of his most important doctrines, he nowhere offers an explicit statement as to what he meant by it. One interpretation of NPE, which enjoys a modest consensus among interpreters, is that all extrinsic denominations reduce to intrinsic denominations. According to the reductionist view, things only have intrinsic denominations as (...) properties; extrinsic denominations are not genuine properties of things. Critics of reductionism have argued that the textual case for it is inconclusive at best, and I share this assessment with them. However, in my opinion, a satisfactory non-reductionist understanding of NPE has not been offered. The goal of my dissertation is to provide such a non-reductionist account. I contend that NPE, far from being a claim of the reducibility of extrinsic denominations, is actually an assertion that extrinsic denominations are genuine properties of the things they denominate. ;To establish my reading of NPE, I examine a line of textual evidence to which interpreters have paid little attention: the way Leibniz argues for NPE. In some passages Leibniz derives NPE from his predicate-in-subject principle of truth. In others, he employs his doctrine of the interconnection of all things to reach NPE. Elsewhere, he bases NPE on the principle of the identity of indiscernibles. Though, as mentioned, Leibniz never explicitly defines NPE, he does have much to say by way of explicit definition of each of these three principles. A consideration of what version of NPE could plausibly be drawn from them is thus a revealing way to proceed. In the case of each argument, I show that my interpretation of NPE is the conclusion naturally suggested by the given principle, while the reductionist version of NPE forms only an awkward, textually implausible fit with it. The result of the examination is an original and serious critique of the reductionist reading of NPE, as well as the development of a far more plausible understanding of that claim. (shrink)

This is the second edition of an important introduction to Leibniz's philosophy of logic and language first published in 1972. It takes issue with several traditional interpretations of Leibniz while revealing how Leibniz's thought is related to issues of great interest in current logical theory. For this new edition, the author has added new chapters on infinitesimals and conditionals as well as taking account of reviews of the first edition.

Am Ausgang des europäischen 18. Jahrhunderts zeichnet sich eine signifikante Leibniz-Renaissance ab. Während die Kritische Philosophie Immanuel Kants an den philosophischen Fakultäten Einzug hielt, wurde Leibniz für deren Kritiker interessant. Die in diesem Band gesammelten Beiträge behandeln die philosophische Leibniz-Rezeption bei Johann Gottfried Herder, Friedrich Heinrich Jacobi und Friedrich Wilhelm Joseph Schelling. Weitere Schwerpunkte bilden die monadologischen Natur- und Kulturphilosophien um 1800, die Bedeutung der Leibniz-Rezeption an der Schwelle vom philosophischen zum literarischen Diskurs sowie die nachhaltige (...) Weiterwirkung der Leibniz’schen Ideen in Ästhetik und Literatur seit Baumgarten. Mit den vorliegenden Beiträgen wollen die Autoren und Herausgeber der Forschung neue Impulse geben. At the end of the 18th century in Europe a significant Leibniz renaissance emerged. As Immanuel Kant’s critical philosophy gained ground in the philosophical faculties, Leibniz became interesting to its critics. The essays collected in this volume examine the philosophical reception of Leibniz by Johann Gottfried Herder, Friedrich Heinrich Jacobi and Friedrich Wilhelm Joseph Schelling. (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.

This book offers a major reassessment of Leibniz's metaphysics. Christia Mercer has exposed the underlying doctrines of Leibniz's philosophy. By analysing Leibniz's early works she demonstrates that the metaphysics of pre-established harmony developed many years earlier than previously believed and for reasons which have not been understood. As a result of this analysis she has unearthed a philosophical school that Leibniz scholars have not recognized. A much deeper understanding of some of Leibniz's key doctrines emerges. (...) Moreover, since the Leibniz that is revealed here does not fit neatly into the standard accounts of the history of philosophy and science, Christia Mercer's study will prompt scholars to reconsider their basic assumptions about early modern philosophy and science. (shrink)

Leibniz has been accused of being ambivalent about the nature of sensible qualities such as color, heat, and sound. According to the critics, he unwittingly vacillates between the view that these qualities are really just complex mechanical qualities of bodies and the competing view that they are something like the perceptions or experiences that confusedly represent these mechanical qualities. Against this, I argue that the evidence for ascribing the first approach to Leibniz is rather strong, whereas the evidence (...) for imputing the second approach to him is rather weak. The first, "mechanistic" approach should therefore be regarded as his considered view. (shrink)

This is the second edition of an important introduction to Leibniz's philosophy of logic and language first published in 1972. It takes issue with several traditional interpretations of Leibniz (by Russell amongst others) while revealing how Leibniz's thought is related to issues of great interest in current logical theory. For this new edition, the author has added new chapters on infinitesimals and conditionals as well as taking account of reviews of the first edition.

In the absence of any plausible reductionist account of consciousness in nonmentalistic terms, the HOT theory says that the best explanation for what makes a mental state conscious is that it is accompanied by a thought (or awareness) that one is in that state. I discuss HOT theory with special attention to how Leibnizian theses can help support it and how it can shed light on Leibniz's theory of perception, apperception, and consciousness. It will become clear how treating (...) class='Hi'>Leibniz as a HOT theorist can solve some of the problems he faced and some of the puzzles posed by commentators, e.g. animal mentality and the role of reason and memory in self-consciousness. (shrink)

Did Leibniz exploit infinitesimals and infinities à la rigueur or only as shorthand for quantified propositions that refer to ordinary Archimedean magnitudes? Hidé Ishiguro defends the latter position, which she reformulates in terms of Russellian logical fictions. Ishiguro does not explain how to reconcile this interpretation with Leibniz’s repeated assertions that infinitesimals violate the Archimedean property (i.e., Euclid’s Elements, V.4). We present textual evidence from Leibniz, as well as historical evidence from the early decades of the calculus, (...) to undermine Ishiguro’s interpretation. Leibniz frequently writes that his infinitesimals are useful fictions, and we agree, but we show that it is best not to understand them as logical fictions; instead, they are better understood as pure fictions. (shrink)

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