The Labyrinth of the Continuum


Book Description

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.




The Labyrinth of the Continuum - Writings on the Continuum Problem 1672-1686


Book Description

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.




The Architectonic of Philosophy


Book Description

"Whereas the history of philosophy defines metaphysics as asking the question 'What is Being?'; here is asked 'Where is Being?' What is to be analyzed is indeed part of the tradition of metaphysics to inquire about Being qua being, but here the inquiry is into its structure, its position within the ontological whole. The concept of the 'architectonic' is borrowed from Kant ... In this work, three philosophical structures are chosen for a more extensive examination: the three 'architectonics' are that of Plato's Chora, Aristoteles' continuum, and finally Leibniz's labyrinth"--Back cover.




Contagious Architecture


Book Description

A proposal that algorithms are not simply instructions to be performed but thinking entities that construct digital spatio-temporalities. In Contagious Architecture, Luciana Parisi offers a philosophical inquiry into the status of the algorithm in architectural and interaction design. Her thesis is that algorithmic computation is not simply an abstract mathematical tool but constitutes a mode of thought in its own right, in that its operation extends into forms of abstraction that lie beyond direct human cognition and control. These include modes of infinity, contingency, and indeterminacy, as well as incomputable quantities underlying the iterative process of algorithmic processing. The main philosophical source for the project is Alfred North Whitehead, whose process philosophy is specifically designed to provide a vocabulary for “modes of thought” exhibiting various degrees of autonomy from human agency even as they are mobilized by it. Because algorithmic processing lies at the heart of the design practices now reshaping our world—from the physical spaces of our built environment to the networked spaces of digital culture—the nature of algorithmic thought is a topic of pressing importance that reraises questions of control and, ultimately, power. Contagious Architecture revisits cybernetic theories of control and information theory's notion of the incomputable in light of this rethinking of the role of algorithmic thought. Informed by recent debates in political and cultural theory around the changing landscape of power, it links the nature of abstraction to a new theory of power adequate to the complexities of the digital world.







The Oxford Handbook of Leibniz


Book Description

The extraordinary breadth and depth of Leibniz's intellectual vision commands ever increasing attention. As more texts gradually emerge from seemingly bottomless archives, new facets of his contribution to an astonishing variety of fields come to light. This volume provides a uniquely comprehensive, systematic, and up-to-date appraisal of Leibniz's thought thematically organized around its diverse but interrelated aspects. Discussion of his philosophical system naturally takes place of pride. A cluster of original essays revisit his logic, metaphysics, epistemology, philosophy of nature, moral and political philosophy, and philosophy of religion. The scope of the volume, however, goes beyond that of a philosophical collection to embrace all the main features of Leibniz's thought and activity. Contributions are offered on Leibniz as a mathematician (including not only his calculus but also determinant theory, symmetric functions, the dyadic, the analysis situs, probability and statistics); on Leibniz as a scientist (physics and also optics, cosmology, geology, physiology, medicine, and chemistry); on his technical innovations (the calculating machine and the technology of mining, as well as other discoveries); on his work as an 'intelligencer' and cultural networker, as jurist, historian, editor of sources and librarian; on his views on Europe's political future, religious toleration, and ecclesiastical reunification; on his proposals for political, administrative, economic, and social reform. In so doing, the volume serves as a unique cross-disciplinary point of contact for the many domains to which Leibniz contributed. By assembling leading specialists on all these topics, it offers the most rounded picture of Leibniz's endeavors currently available.




Leibniz on Compossibility and Possible Worlds


Book Description

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.




The Courtier and the Heretic: Leibniz, Spinoza, and the Fate of God in the Modern World


Book Description

"Exhilarating…Stewart has achieved a near impossibility, creating a page-turner about jousting metaphysical ideas, casting thinkers as warriors." —Liesl Schillinger, New York Times Book Review Once upon a time, philosophy was a dangerous business—and for no one more so than for Baruch Spinoza, the seventeenth-century philosopher vilified by theologians and political authorities everywhere as “the atheist Jew.” As his inflammatory manuscripts circulated underground, Spinoza lived a humble existence in The Hague, grinding optical lenses to make ends meet. Meanwhile, in the glittering salons of Paris, Gottfried Wilhelm Leibniz was climbing the ladder of courtly success. In between trips to the opera and groundbreaking work in mathematics, philosophy, and jurisprudence, he took every opportunity to denounce Spinoza, relishing his self-appointed role as “God’s attorney.” In this exquisitely written philosophical romance of attraction and repulsion, greed and virtue, religion and heresy, Matthew Stewart gives narrative form to an epic contest of ideas that shook the seventeenth century—and continues today.




The Bloomsbury Companion to Leibniz


Book Description

The Bloomsbury Companion to Leibniz presents a comprehensive and authoritative introduction to the life, thought and work of one of the great polymaths of the modern world, G.W. Leibniz. This guide enriches the reader's understanding of Leibniz by establishing the philosophies of, and Leibniz's reactions to, his most important philosophical contemporaries from Descartes to Malebranche. While addressing current philosophical research in Leibniz studies such as his metaphysics, logic and theory of free will, a leading team of experts in the field demonstrate that Leibniz's work was wider in scope. Examining new directions in this field they cover a number of Leibniz's concerns outside of philosophy including mathematics, physics, and the life sciences. The Companion concludes by offering analysis of Leibniz's legacy; his impact on further study, particularly on his successor Immanuel Kant, and how he has subsequently been understood. Together with extended biographical sketches and an up-to-date and fully comprehensive bibliography, The Bloomsbury Companion to Leibniz is an extremely valuable study tool for students and scholars interested in Leibniz and the era in which he wrote.




Leibniz, God and Necessity


Book Description

This book presents a necessitarian interpretation of Leibniz which grounds modal concepts in theology.