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On Leibniz: Expanded Edition by Nicholas Rescher Pdf
Contemporary philosopher John Searle has characterized Gottfried Wilhelm Leibniz (1646–1716) as “the most intelligent human being who has ever lived.” The German philosopher, mathematician, and logician invented calculus (independently of Sir Isaac Newton), topology, determinants, binary arithmetic, symbolic logic, rational mechanics, and much more. His metaphysics bequeathed a set of problems and approaches that have influenced the course of Western philosophy from Kant in the eighteenth century until the present day. On Leibniz examines many aspects of Leibniz’s work and life. This expanded edition adds new chapters that explore Leibniz’s revolutionary deciphering machine; his theoretical interest in cryptography and its ties to algebra; his thoughts on eternal recurrence theory; his rebuttal of the thesis of improvability in the world and cosmos; and an overview of American scholarship on Leibniz. Other chapters reveal Leibniz as a substantial contributor to theories of knowledge. Discussions of his epistemology and methodology, its relationship to John Maynard Keynes and Talmudic scholarship, broaden the traditional view of Leibniz. Rescher also views Leibniz’s scholarly development and professional career in historical context. As a “philosopher courtier” to the Hanoverian court, Leibniz was associated with the leading intellectuals and politicians of his era, including Spinoza, Huygens, Newton, Queen Sophie Charlotte, and Tsar Peter the Great. Rescher extrapolates the fundamentals of Leibniz’s ontology: the theory of possible worlds, the world’s contingency, space-time frameworks, and intermonadic relationships. In conclusion, Rescher positions Leibniz as a philosophical role model for today’s scholars. He argues that many current problems can be effectively addressed with principles of process philosophy inspired by Leibniz’s system of monadology.
The essays included in this volume are a mixture of old and new. Three of them make their first appearance in print on this occa sion (Nos III, IV, and V). The remaining four are based upon materials previously published in learned journals or anthologies. (However, these previously published papers have been revised and, generally, expanded for inclusion here.) Detailed acknowl edgement of prior publications is made in the notes to the relevant articles. I am grateful to the editors of these several publications for their kind permission to use this material. I am grateful to an anonymous reader for the Western Ontario Series for some useful corrigenda. And I should like to thank John Horty and Lily Knezevich for their help in seeing this material through the press. NICHOLAS RESCHER Pittsburgh, Pennsylvania May, 1980 xi INTRODUCTION The unifying theme of these essays is their concern with Leibniz's metaphysics of nature. In particular, they revolve about his cos mology of creation and his conception of the real world as one among infinitely many equipossible alternatives.
Gottfried Wilhelm Leibniz (1646-1716) was hailed by Bertrand Russell as 'one of the supreme intellects of all time'. A towering figure in seventeenth-century philosophy, his complex thought has been championed and satirized in equal measure, most famously in Voltaire's Candide. In this outstanding introduction to his philosophy, Nicholas Jolley introduces and assesses the whole of Leibniz's philosophy. Beginning with an introduction to Leibniz's life and work, he carefully introduces the core elements of Leibniz's metaphysics: his theories of substance, identity and individuation; monads and space and time; and his important debate over the nature of space and time with Newton's champion, Samuel Clarke. He then introduces Leibniz's theories of mind, knowledge, and innate ideas, showing how Leibniz anticipated the distinction between conscious and unconscious states, before examining his theory of free will and the problem of evil. An important feature of the book is its introduction to Leibniz's moral and political philosophy, an overlooked aspect of his work. The final chapter assesses legacy and the impact of his philosophy on philosophy as a whole, particularly on the work of Immanuel Kant. Throughout, Nicholas Jolley places Leibniz in relation to some of the other great philosophers, such as Descartes, Spinoza and Locke, and discusses Leibniz's key works, such as the Monadology and Discourse on Metaphysics.
Leibniz on Compossibility and Possible Worlds by Gregory Brown,Yual Chiek Pdf
This volume brings together a number of original articles by leading Leibniz scholars to address the meaning and significance of Leibniz’s notions of compossibility and possible worlds. In order to avoid the conclusion that everything that exists is necessary, or that all possibles are actual, as Spinoza held, Leibniz argued that not all possible substances are compossible, that is, capable of coexisting. In Leibniz’s view, the compossibility relation divides all possible substances into disjoint sets, each of which constitutes a possible world, or a way that God might have created things. For Leibniz, then, it is the compossibility relation that individuates possible worlds; and possible worlds form the objects of God’s choice, from among which he chooses the best for creation. Thus the notions of compossibility and possible worlds are of major significance for Leibniz’s metaphysics, his theodicy, and, ultimately, for his ethics. Given the fact, however, that none of the approaches to understanding Leibniz’s notions of compossibility and possible words suggested to date have gained universal acceptance, the goal of this book is to gather a body of new papers that explore ways of either refining previous interpretations in light of the objections that have been raised against them, or ways of framing new interpretations that will contribute to a fresh understanding of these key notions in Leibniz’s thought.
Leibniz’s Legacy and Impact by Julia Weckend,Lloyd Strickland Pdf
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.
Leibniz on God and Man in 1686 by Ryan Phillip Quandt Pdf
This book demonstrates that there is clear overlap between Leibniz’s “Discourse on Metaphysics” and his “Examination of the Christian Religion,” converging in the moral quality of God and man that Leibniz took as the cornerstone of his system in 1686.
The Many Faces of Evil (Revised and Expanded Edition) by John S. Feinberg Pdf
In this examination of the questions posed by the problem of evil, John Feinberg addresses the intellectual and theological framework of theodicy. Beginning with a discussion of the logical problem of evil, he interacts with leading thinkers who have previously written on these themes.
G.W. Leibniz's Monadology , one of the most important pieces of the Leibniz corpus, is at once one of the great classics of modern philosophy and one of its most puzzling productions. Because the essay is written in so condensed and compact a fashion, for almost three centuries it has baffled and beguiled those who have read it for the first time. Nicholas Rescher accompanies the text of the Monadology section-by-section with relevant excerpts from other Leibnizian writings. Using these brief sections as an outline, Rescher collects together some of Leibniz's widely scattered discussions of the matters at issue. The result serves a dual purpose of providing a commentary on the Monadology by Leibniz himself, while at the same time supplying an exposition of his philosophy using the Monadology as an outline.
Accelerating Expansion explores some of the philosophical implications of modern cosmology, focused on the significance that the discovery of the accelerating expansion of the Universe has for our understanding of time, geometry, and physics. The appearance of the cosmological constant in the equations of general relativity allows one to model universes in which space has an inherent tendency towards expansion. This constant, introduced by Einstein but subsequently abandoned by him, returned to centre stage with the discovery of the accelerating expansion. This pedagogically-oriented essay begins with a study of the most basic and elegant relativistic world that involves a positive cosmological constant, de Sitter spacetime. It then turns to the relatives of de Sitter spacetime that dominate modern relativistic cosmology. Some of the topics considered include: the nature of time and simultaneity in de Sitter worlds; the sense in which de Sitter spacetime is a powerful dynamical attractor; the limited extent to which observation can give us information about the topology of space in a world undergoing accelerated expansion; and cosmologists' favourite sceptical worry about the reliability of evidence and the possibility of knowledge, the problem of Boltzmann brains.
Leibniz on Binary by Lloyd Strickland,Harry R. Lewis Pdf
The first collection of Leibniz’s key writings on the binary system, newly translated, with many previously unpublished in any language. The polymath Gottfried Wilhelm Leibniz (1646–1716) is known for his independent invention of the calculus in 1675. Another major—although less studied—mathematical contribution by Leibniz is his invention of binary arithmetic, the representational basis for today’s digital computing. This book offers the first collection of Leibniz’s most important writings on the binary system, all newly translated by the authors with many previously unpublished in any language. Taken together, these thirty-two texts tell the story of binary as Leibniz conceived it, from his first youthful writings on the subject to the mature development and publication of the binary system. As befits a scholarly edition, Strickland and Lewis have not only returned to Leibniz’s original manuscripts in preparing their translations, but also provided full critical apparatus. In addition to extensive annotations, each text is accompanied by a detailed introductory “headnote” that explains the context and content. Additional mathematical commentaries offer readers deep dives into Leibniz’s mathematical thinking. The texts are prefaced by a lengthy and detailed introductory essay, in which Strickland and Lewis trace Leibniz’s development of binary, place it in its historical context, and chart its posthumous influence, most notably on shaping our own computer age.
The essays included in this volume are a mixture of old and new. Three of them make their first appearance in print on this occa sion (Nos III, IV, and V). The remaining four are based upon materials previously published in learned journals or anthologies. (However, these previously published papers have been revised and, generally, expanded for inclusion here.) Detailed acknowl edgement of prior publications is made in the notes to the relevant articles. I am grateful to the editors of these several publications for their kind permission to use this material. I am grateful to an anonymous reader for the Western Ontario Series for some useful corrigenda. And I should like to thank John Horty and Lily Knezevich for their help in seeing this material through the press. NICHOLAS RESCHER Pittsburgh, Pennsylvania May, 1980 xi INTRODUCTION The unifying theme of these essays is their concern with Leibniz's metaphysics of nature. In particular, they revolve about his cos mology of creation and his conception of the real world as one among infinitely many equipossible alternatives.
Journal of Early Modern Studies, Volume 10, issue 1 (Spring 2021) by Vlad ALEXANDRESCU,Sorana CORNEANU Pdf
ARTICLES: Patrick BRISSEY, Reasons for the Method in Descartes’ Discours Abstract: In the practical philosophy of the Discours de la Méthode, before the theoretical metaphysics of Part Four and the Meditationes, Descartes gives us an inductive argument that his method, the procedure and cognitive psychology, is veracious at its inception. His evidence, akin to his Scholastic predecessors, is God, a maximally perfect being, established an ontological foundation for knowledge such that reason and nature are isomorphic. Further, the method, he tells us, is a functional definition of human reason; that is, like other rationalists during this period, he holds the structure of reason maps onto the world. The evidence for this thesis is given in what I call the groundwork to Descartes’ philosophical system, essentially the first half of the Discours, where, through a series of examples in the preamble of Part Two, he, step-by-step, ascends from the perfection of artifacts through the imposition of reason (the Architect Example) to the perfection of a constituent’s use of her cognitive faculties (the Wise-Lawgiver Example), to God perfecting and ordering reality (the Divine Artificer Example). Finally, he descends, establishing the structure of human reason, which undergirds and entails the procedure of the method (the Laws of Sparta Example). Hanoch BEN-YAMI, Word, Sign and Representation in Descartes Abstract: In the first chapter of his The World, Descartes compares light to words and discusses signs and ideas. This made scholars read into that passage our views of language as a representational medium and consider it Descartes’ model for representation in perception. I show, by contrast, that Descartes does not ascribe there any representational role to language; that to be a sign is for him to have a kind of causal role; and that he is concerned there only with the cause’s lack of resemblance to its effect, not with the representation’s lack of resemblance to what it represents. I support this interpretation by comparisons with other places in Descartes’ corpus and with earlier authors, Descartes’ likely sources. This interpretation may shed light both on Descartes’ understanding of the functioning of language and on the development of his theory of representation in perception. Osvaldo OTTAVIANI, The Young Leibniz and the Ontological Argument: from Rejection to Reconsideration Abstract: Leibniz considered the Cartesian version of the ontological argument not as an inconsistent proof but only as an incomplete one: it requires a preliminary proof of possibility to show that the concept of ‘the most perfect being’ involves no contradiction. Leibniz raised this objection to Descartes’s proof already in 1676, then repeated it throughout his entire life. Before 1676, however, he suggested a more substantial objection to the Cartesian argument. I take into account a text written around 1671-72, in which Leibniz considers the Cartesian proof as a paralogism and a petition of principle. I argue that this criticism is modelled on Gassendi’s objections to the Cartesian proof, and that Leibniz’s early rejection of the ontological argument has to be understood in the general context of his early philosophy, which was inspired by nominalist authors, such as Hobbes and Gassendi. Then, I take into account the reconsideration of the ontological argument in a series of texts of 1678, showing how Leibniz implicitly replies to the kind of criticism to the argument he himself shared in his earlier works. Joseph ANDERSON, The ‘Necessity’ of Leibniz’ Rejection of Necessitarianism Abstract: In the Theodicy, Leibniz defends the justice of God from two impious conceptions of God—a God who makes arbitrary choices and a God who doesn’t make choices at all. Many interpret Leibniz as navigating these dangers by positing a kind of non-Spinozistic necessitarianism. I examine passages from the Theodicy which reject not only blind (Spinozistic) necessitarianism but necessitarianism altogether. Leibniz thinks blind necessitarianism is dangerous due to the conception of God it entails and the implications for morality. Non-Spinozistic necessitarianism avoids many of these criticisms. Leibniz finds that even necessary actions should receive certain rewards and punishments as long as they necessarily lead to a change in future behavior. But Leibniz rejects even non-Spinozistic necessitarianism on the grounds that it is inconsistent with punitive justice. Whether Leibniz successfully avoids necessitarianism, it ought to be clear that he sees his own position as significantly distinct from necessitarianism and not just Spinozism. REVIEW ARTICLE: Dana JALOBEANU, Big Books, Small Books, Readers, Riddles and Contexts: The Story of English Mythography [Anna-Maria Hartmann, English Mythography and its European Context. 1500-1650, Oxford: Oxford University Press, 2018, x + 283 pp.] CORPUS REVIEW: Andrea SANGIACOMO, Raluca TANASESCU, Silvia DONKER, Hugo HOGENBIRK: Expanding the Corpus of Early Modern Natural Philosophy: Initial results and a review of available sources BOOK REVIEWS Diego LUCCI Ruth Boeker, Locke on Persons and Personal Identity, Oxford: Oxford University Press, 2021. Michael DECKARD Stefano Marino and Pietro Terzi (eds.), Kant’s ‘Critique of Aesthetic Judgment’ in the 20th Century: A Companion to its Main Interpretations, Berlin: De Gruyter, 2021. Doina RUSU Jennifer M. Rampling, The Experimental Fire. Inventing English Alchemy 1300-1700, Chicago and London: University of Chicago Press, 2020.
Introduction To Mathematical Logic (Extended Edition) by Michal Walicki Pdf
This is a systematic and well-paced introduction to mathematical logic. Excellent as a course text, the book presupposes only elementary background and can be used also for self-study by more ambitious students.Starting with the basics of set theory, induction and computability, it covers propositional and first order logic — their syntax, reasoning systems and semantics. Soundness and completeness results for Hilbert's and Gentzen's systems are presented, along with simple decidability arguments. The general applicability of various concepts and techniques is demonstrated by highlighting their consistent reuse in different contexts.Unlike in most comparable texts, presentation of syntactic reasoning systems precedes the semantic explanations. The simplicity of syntactic constructions and rules — of a high, though often neglected, pedagogical value — aids students in approaching more complex semantic issues. This order of presentation also brings forth the relative independence of syntax from the semantics, helping to appreciate the importance of the purely symbolic systems, like those underlying computers.An overview of the history of logic precedes the main text, while informal analogies precede introduction of most central concepts. These informal aspects are kept clearly apart from the technical ones. Together, they form a unique text which may be appreciated equally by lecturers and students occupied with mathematical precision, as well as those interested in the relations of logical formalisms to the problems of computability and the philosophy of logic.This revised edition contains also, besides many new exercises, a new chapter on semantic paradoxes. An equivalence of logical and graphical representations allows us to see vicious circularity as the odd cycles in the graphical representation and can be used as a simple tool for diagnosing paradoxes in natural discourse.
Providing a clear interpretation of Hegel's characterizations of possibility and actuality in the Science of Logic, this book departs from the standard understandings of these concepts to break new ground in Hegelian scholarship. The book draws out some of the implications of Hegel's view of immanent possibility, especially as it relates to Leibniz's thesis of modal optimism: his view that this world is the best of all possible worlds. Reading Hegel as a philosopher of possibility, against a tradition that has conceived of him primarily as a philosopher of necessity, rationality, and finitude, Nahum Brown demonstrates the historical background and philosophical traditions from which Hegel's concept of possibility emerges. Systematically outlining Hegel's conceptions of positive and negative freedom, Brown reveals the Hegelian underpinnings of our conception of reality and what it is to be in the world itself. Original and convincing, this book is crucial for philosophers approaching modality from any tradition.
Oxford Studies in Early Modern Philosophy by Daniel Garber,Donald Rutherford Pdf
Oxford Studies in Early Modern Philosophy is an annual series, presenting a selection of the best current work in the history of early modern philosophy. It focuses on the seventeenth and eighteenth centuries—the extraordinary period of intellectual flourishing that begins, very roughly, with Descartes and his contemporaries and ends with Kant. It also publishes papers on thinkers or movements outside of that framework, provided they are important in illuminating early modern thought. The articles in OSEMP will be of importance to specialists within the discipline, but the editors also intend that they should appeal to a larger audience of philosophers, intellectual historians, and others who are interested in the development of modern thought.