Download or read book Leibniz et l infini written by Frank Burbage and published by Presses Universitaires de France - PUF. This book was released on 1993 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Leibniz and the vinculum Substantiale written by Brandon Look and published by Franz Steiner Verlag. This book was released on 1999 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ein wenig beachteter Aspekt in Gottfried Wilhelm Leibniz' Spatphilosophie ist die Idee des substantialen Bandes ("vinculi substantialis"), die er in dem Briefwechsel mit dem Jesuiten Bartholomaeus des Bosses entwickelt. Allzu voreilig wurde sie von der Forschung als ein der Monadologie widersprechender, halbherziger Versuch Leibnizens abgetan, dem katholischen Freund die Moglichkeit der Transsubstantiation in einer Welt der Monaden zu erklaren. Indem das "vinculum substantiale" die Monaden zu einer zusammengesetzten Substanz verbindet, liefert es zugleich die Grundlage fur die Realitat und Einheit des Korpers - ein fur die gesamte Metaphysik Leibnizens zentrales Problem. Der Verfasser beschreibt und diskutiert hier zum ersten Mal ausfuhrlich das Wesen des "vinculi substantialis" und seine Bedeutung fur Leibniz' Philosophie. "Brandon Look's Leibniz and the 'Vinculum Substantiale' is a welcome addition to the literature and should become standard reading for scholars working on Leibniz's account of the material world." ISIS . (Franz Steiner 1999)
Download or read book Machines of Nature and Corporeal Substances in Leibniz written by Justin E. H. Smith and published by Springer Science & Business Media. This book was released on 2011-01-04 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent decades, there has been much scholarly controversy as to the basic ontological commitments of the philosopher Gottfried Wilhelm Leibniz (1646-1716). The old picture of his thought as strictly idealistic, or committed to the ultimate reduction of bodies to the activity of mind, has come under attack, but Leibniz's precise conceptualization of bodies, and the role they play in his system as a whole, is still the subject of much controversy. One thing that has become clear is that in order to understand the nature of body in Leibniz, and the role body plays in his philosophy, it is crucial to pay attention to the related concepts of organism and of corporeal substance, the former being Leibniz's account of the structure of living bodies (which turn out, for him, to be the only sort of bodies there are), and the latter being an inheritance from the Aristotelian hylomorphic tradition which Leibniz appropriates for his own ends. This volume brings together papers from many of the leading scholars of Leibniz's thought, all of which deal with the cluster of questions surrounding Leibniz's philosophy of body.
Download or read book G W Leibniz Interrelations between Mathematics and Philosophy written by Norma B. Goethe and published by Springer. This book was released on 2015-04-20 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: Up to now there have been scarcely any publications on Leibniz dedicated to investigating the interrelations between philosophy and mathematics in his thought. In part this is due to the previously restricted textual basis of editions such as those produced by Gerhardt. Through recent volumes of the scientific letters and mathematical papers series of the Academy Edition scholars have obtained a much richer textual basis on which to conduct their studies - material which allows readers to see interconnections between his philosophical and mathematical ideas which have not previously been manifested. The present book draws extensively from this recently published material. The contributors are among the best in their fields. Their commissioned papers cover thematically salient aspects of the various ways in which philosophy and mathematics informed each other in Leibniz's thought.
Download or read book G W Leibniz s Monadology written by Nicholas Rescher and published by Routledge. This book was released on 2014-02-04 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1992. Routledge is an imprint of Taylor & Francis, an informa company.
Download or read book Abstraction and Infinity written by Paolo Mancosu and published by Oxford University Press. This book was released on 2016-12-06 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Paolo Mancosu provides an original investigation of historical and systematic aspects of the notions of abstraction and infinity and their interaction. A familiar way of introducing concepts in mathematics rests on so-called definitions by abstraction. An example of this is Hume's Principle, which introduces the concept of number by stating that two concepts have the same number if and only if the objects falling under each one of them can be put in one-one correspondence. This principle is at the core of neo-logicism. In the first two chapters of the book, Mancosu provides a historical analysis of the mathematical uses and foundational discussion of definitions by abstraction up to Frege, Peano, and Russell. Chapter one shows that abstraction principles were quite widespread in the mathematical practice that preceded Frege's discussion of them and the second chapter provides the first contextual analysis of Frege's discussion of abstraction principles in section 64 of the Grundlagen. In the second part of the book, Mancosu discusses a novel approach to measuring the size of infinite sets known as the theory of numerosities and shows how this new development leads to deep mathematical, historical, and philosophical problems. The final chapter of the book explore how this theory of numerosities can be exploited to provide surprisingly novel perspectives on neo-logicism.
Download or read book Philosophy of Mathematics and Mathematical Practice in the Seventeenth Century written by Paolo Mancosu and published by Oxford University Press, USA. This book was released on 1999 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. Philosophy of Mathematics and Mathematical Practice in the Early Seventeenth Century p. 8 1.1 The Quaestio de Certitudine Mathematicarum p. 10 1.2 The Quaestio in the Seventeenth Century p. 15 1.3 The Quaestio and Mathematical Practice p. 24 2. Cavalieri's Geometry of Indivisibles and Guldin's Centers of Gravity p. 34 2.1 Magnitudes, Ratios, and the Method of Exhaustion p. 35 2.2 Cavalieri's Two Methods of Indivisibles p. 38 2.3 Guldin's Objections to Cavalieri's Geometry of Indivisibles p. 50 2.4 Guldin's Centrobaryca and Cavalieri's Objections p. 56 3. Descartes' Geometrie p. 65 3.1 Descartes' Geometrie p. 65 3.2 The Algebraization of Mathematics p. 84 4. The Problem of Continuity p. 92 4.1 Motion and Genetic Definitions p. 94 4.2 The "Causal" Theories in Arnauld and Bolzano p. 100 4.3 Proofs by Contradiction from Kant to the Present p. 105 5. Paradoxes of the Infinite p. 118 5.1 Indivisibles and Infinitely Small Quantities p. 119 5.2 The Infinitely Large p. 129 6. Leibniz's Differential Calculus and Its Opponents p. 150 6.1 Leibniz's Nova Methodus and L'Hopital's Analyse des Infiniment Petits p. 151 6.2 Early Debates with Cluver and Nieuwentijt p. 156 6.3 The Foundational Debate in the Paris Academy of Sciences p. 165 Appendix Giuseppe Biancani's De Mathematicarum Natura p. 178 Notes p. 213 References p. 249 Index p. 267.
Download or read book Leibniz and the Kabbalah written by A.P. Coudert and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: The general view of scholars is that the Kabbalah had no meaningful influence on Leibniz's thought. } But on the basis of new evidence I am convinced that the question must be reopened. The Kabbalah did influence Leibniz, and a recognition of this will lead to both a better understanding of the supposed "quirkiness,,2 of Leibniz's philosophy and an appreciation ofthe Kabbalah as an integral but hitherto ignored factor in the emergence of the modem secular and scientifically oriented world. During the past twenty years there has been increasing willingness to recognize the important ways in which mystical and occult thinking contributed to the development of science and the emergence 3 of toleration. However, the Kabbalah, particularly the Lurianic Kabbalah with its monistic vitalism and optimistic philosophy of perfectionism and universal salvation, has not yet been integrated into the new historiography, although it richly deserves to be. On the basis of manuscripts in libraries at Hanover and Wolfenbiittel, it is clear that Leibniz's relationship with Francis Mercury van Helmont (1614- 1698) and Christian Knorr von Rosenroth (1636-1689), the two leading Christian Kabbalists of the period, was much closer than previously imagined and that his direct knowledge of their writings, especially the collection of 4 kabbalistic texts they published in the Kabbala Denudata, was far more detailed than most scholars have realized. During 1688 Leibniz spent more than a month at Sulzbach with von Rosenroth.
Download or read book Leibniz What Kind of Rationalist written by Marcelo Dascal and published by Springer Science & Business Media. This book was released on 2008-08-09 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gottfried Wilhelm Leibniz was an outstanding contributor to many fields of human knowledge. The historiography of philosophy has tagged him as a “rationalist”. But what does this exactly mean? Is he a “rationalist” in the same sense in Mathematics and Politics, in Physics and Jurisprudence, in Metaphysics and Theology, in Logic and Linguistics, in Technology and Medicine, in Epistemology and Ethics? What are the most significant features of his “rationalism”, whatever it is? For the first time an outstanding group of Leibniz researchers, some acknowledged as leading scholars, others in the beginning of a promising career, who specialize in the most significant areas of Leibniz’s contributions to human thought and action, were requested to spell out the nature of his rationalism in each of these areas, with a view to provide a comprehensive picture of what it amounts to, both in its general drive and in its specific features and eventual inner tensions. The chapters of the book are the result of intense discussion in the course of an international conference focused on the title question of this book, and were selected in view of their contribution to this topic. They are clustered in thematically organized parts. No effort has been made to hide the controversies underlying the different interpretations of Leibniz’s “rationalism” – in each particular domain and as a whole. On the contrary, the editor firmly believes that only through a variety of conflicting interpretive perspectives can the multi-faceted nature of an oeuvre of such a magnitude and variety as Leibniz’s be brought to light and understood as it deserves.
Download or read book Oxford Studies in Early Modern Philosophy Volume VIII written by Daniel Garber and published by Oxford University Press, USA. This book was released on 2019-01-03 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Infinitesimal Differences written by Ursula Goldenbaum and published by Walter de Gruyter. This book was released on 2008-11-03 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: The essays offer a unified and comprehensive view of 17th century mathematical and metaphysical disputes over status of infinitesimals, particularly the question whether they were real or mere fictions. Leibniz's development of the calculus and his understanding of its metaphysical foundation are taken as both a point of departure and a frame of reference for the 17th century discussions of infinitesimals, that involved Hobbes, Wallis, Newton, Bernoulli, Hermann, and Nieuwentijt. Although the calculus was undoubtedly successful in mathematical practice, it remained controversial because its procedures seemed to lack an adequate metaphysical or methodological justification. The topic is also of philosophical interest, because Leibniz freely employed the language of infinitesimal quantities in the foundations of his dynamics and theory of forces. Thus, philosophical disputes over the Leibnizian science of bodies naturally involve questions about the nature of infinitesimals. The volume also includes newly discovered Leibnizian marginalia in the mathematical writings of Hobbes.
Download or read book Isis written by George Sarton and published by . This book was released on 1924 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Brief table of contents of vols. I-XX" in v. 21, p. [502]-618.
Download or read book The Life Sciences in Early Modern Philosophy written by Ohad Nachtomy and published by Oxford University Press, USA. This book was released on 2014 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume advances a recent historiographical turn towards the intersection of early modern philosophy and the life sciences by bringing together many of its leading scholars to present the contributions of important but often neglected figures, such as Ralph Cudworth, Nehemiah Grew, Francis Glisson, Hieronymus Fabricius ab Aquapendente, Georg Ernst Stahl, Juan Gallego de la Serna, Nicholas Hartsoeker, Henry More, as well as more familiar figures such as Descartes, Spinoza, Leibniz, Malebranche, and Kant. The contributions to this volume are organized in accordance with the particular problems that living beings and living nature posed for early modern philosophy: the problem of life in general, whether it constitutes something ontologically distinct at all, or whether it can ultimately be exhaustively comprehended "in the same manner as the rest"; the problem of the structure of living beings, by which we understand not just bare anatomy but also physiological processes such as irritability, motion, digestion, and so on; the problem of generation, which might be included alongside digestion and other vital processes, were it not for the fact that it presented such an exceptional riddle to philosophers since antiquity, namely, the riddle of coming-into-being out of -- apparent or real -- non-being; and, finally, the problem of natural order.
Download or read book Living Mirrors written by Ohad Nachtomy and published by Oxford University Press. This book was released on 2019-03-29 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Living Mirrors, Ohad Nachtomy examines Leibniz's attempt to "re-enchant" the natural world-that is, to infuse life, purpose, and value into the very foundations of nature, a nature that Leibniz saw as disenchanted by Descartes' and Spinoza's more naturalistic and mechanistic theories. Nachtomy sees Leibniz's nuanced view of infinity- how it differs in the divine as well as human spheres, and its relationship to numerical and metaphysical unity-as key in this effort. Leibniz defined living beings by means of an infinite nested structure particular to what he called "natural machines"-and for him, an intermediate kind of infinity is the defining feature of living beings. Using a metaphor of a "living mirror," Leibniz put forth infinity as crucial to explaining the unity of a living being as well as the harmony between the infinitely small and the infinitely large; in this way, employing infinity and unity, we can better understand life itself, both as a metaphysical principle and as an empirical fact. Nachtomy's sophisticated and novel treatment of the essential themes in Leibniz's work will not only interest Leibniz scholars, but scholars of early modern philosophy and students of the history of philosophy and science as well.
Download or read book The Architectonic of Philosophy written by Leslie Jaye Kavanaugh and published by Amsterdam University Press. This book was released on 2007 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.
Download or read book Geometry and Monadology written by Vincenzo de Risi and published by Springer Science & Business Media. This book was released on 2007-08-08 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reconstructs, from both historical and theoretical points of view, Leibniz’s geometrical studies, focusing in particular on the research Leibniz carried out in his final years. The work’s main purpose is to offer a better understanding of the philosophy of space and in general of the mature Leibnizean metaphysics. This is the first ever, comprehensive historical reconstruction of Leibniz’s geometry.
