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Book The Labyrinth of the Continuum

Download or read book The Labyrinth of the Continuum written by Gottfried Wilhelm Freiherr von Leibniz and published by Yale Nota Bene. This book was released on 2001 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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

Download or read book The Labyrinth of the Continuum Writings on the Continuum Problem 1672 1686 written by Gottfried Wilhelm Leibniz and published by . This book was released on 2013-08-01 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book A Critical Exposition of the Philosophy of Leibniz

Download or read book A Critical Exposition of the Philosophy of Leibniz written by Bertrand Russell and published by Cosimo, Inc.. This book was released on 2008-12-01 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: The writings of German mathematician and philosopher GOTTFRIED WILHELM LEIBNIZ (1646-1716) have had an incalculable impact on modern science and technology, from physics and computers to law and psychology. But not everyone is a fervent fan. At the turn of the 20th century, the great British thinker Bertrand Russell uncovered what he believed was the hypocritical secret to Leibniz's philosophy: a hidden devotion to a logic he did not reveal in his writings. Here, Russell explores Leibniz's work from this perspective, examining the premises of Leibniz's work, the questions raised by his arguments, the validity of Leibniz's proofs, problems with his "philosophy of matter," and much more. First published in 1900, this is a replica of the 1937 second edition, and is complete with the original, extensive appendix of relevant extracts from Leibniz's work, essential for understanding Russell's critique. British philosopher and mathematician BERTRAND ARTHUR WILLIAM RUSSELL (1872-1970) won the Nobel Prize for Literature in 1950. Among his many works are Why I Am Not a Christian (1927), Power: A New Social Analysis (1938), and My Philosophical Development (1959).

Book The Architectonic of Philosophy

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.

Book Labyrinth of Thought

    Book Details:
  • Author : Jose Ferreiros
  • Publisher : Springer Science & Business Media
  • Release : 2001-11-01
  • ISBN : 9783764357498
  • Pages : 472 pages

Download or read book Labyrinth of Thought written by Jose Ferreiros and published by Springer Science & Business Media. This book was released on 2001-11-01 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: "José Ferreirós has written a magisterial account of the history of set theory which is panoramic, balanced, and engaging. Not only does this book synthesize much previous work and provide fresh insights and points of view, but it also features a major innovation, a full-fledged treatment of the emergence of the set-theoretic approach in mathematics from the early nineteenth century. This takes up Part One of the book. Part Two analyzes the crucial developments in the last quarter of the nineteenth century, above all the work of Cantor, but also Dedekind and the interaction between the two. Lastly, Part Three details the development of set theory up to 1950, taking account of foundational questions and the emergence of the modern axiomatization." (Bulletin of Symbolic Logic)

Book Leibniz  Representation  Continuity and the Spatiotemporal

Download or read book Leibniz Representation Continuity and the Spatiotemporal written by D.A. Anapolitanos and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: Anapolitanos critically examines and evaluates three basic characteristics of the Leibnizian metaphysical system: Leibniz's version of representation; the principle of continuity; and space, time, and the phenomenally spatio-temporal. Chapter I discusses representation, especially as it refers to the connection between the real and the phenomenal levels of Leibniz's system. Chapter II examines the principle of continuity, including continuity as a general feature of every level of Leibniz's metaphysics. The position adopted is that the problem of the composition of the continuum played a central role on the development of Leibniz's non-spatial and non-temporal monadic metaphysics. The machinery developed is then used to offer a new interpretation of Leibniz' metaphysics of space and time. The notion of indirect representation is used to construct appropriate models that clarify the nature of the correspondence between the real and the phenomenal levels in the case of the relations `spatially between' and `temporally between', as well as in the cases of spatial and temporal density. Finally, Leibniz's solution to the problem of the continuum is discussed, arguing that it is not entirely satisfactory. A non-anachronistic alternative is proposed, compatible with Leibniz's metaphysics of substance.

Book The Continuous  the Discrete and the Infinitesimal in Philosophy and Mathematics

Download or read book The Continuous the Discrete and the Infinitesimal in Philosophy and Mathematics written by John L. Bell and published by Springer Nature. This book was released on 2019-09-09 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores and articulates the concepts of the continuous and the infinitesimal from two points of view: the philosophical and the mathematical. The first section covers the history of these ideas in philosophy. Chapter one, entitled ‘The continuous and the discrete in Ancient Greece, the Orient and the European Middle Ages,’ reviews the work of Plato, Aristotle, Epicurus, and other Ancient Greeks; the elements of early Chinese, Indian and Islamic thought; and early Europeans including Henry of Harclay, Nicholas of Autrecourt, Duns Scotus, William of Ockham, Thomas Bradwardine and Nicolas Oreme. The second chapter of the book covers European thinkers of the sixteenth and seventeenth centuries: Galileo, Newton, Leibniz, Descartes, Arnauld, Fermat, and more. Chapter three, 'The age of continuity,’ discusses eighteenth century mathematicians including Euler and Carnot, and philosophers, among them Hume, Kant and Hegel. Examining the nineteenth and early twentieth centuries, the fourth chapter describes the reduction of the continuous to the discrete, citing the contributions of Bolzano, Cauchy and Reimann. Part one of the book concludes with a chapter on divergent conceptions of the continuum, with the work of nineteenth and early twentieth century philosophers and mathematicians, including Veronese, Poincaré, Brouwer, and Weyl. Part two of this book covers contemporary mathematics, discussing topology and manifolds, categories, and functors, Grothendieck topologies, sheaves, and elementary topoi. Among the theories presented in detail are non-standard analysis, constructive and intuitionist analysis, and smooth infinitesimal analysis/synthetic differential geometry. No other book so thoroughly covers the history and development of the concepts of the continuous and the infinitesimal.

Book The Continuous and the Infinitesimal in Mathematics and Philosophy

Download or read book The Continuous and the Infinitesimal in Mathematics and Philosophy written by John Lane Bell and published by Polimetrica s.a.s.. This book was released on 2005 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Monads  Composition  and Force

Download or read book Monads Composition and Force written by Richard T. W. Arthur and published by Oxford University Press. This book was released on 2018-09-26 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Leibniz's monads have long been a source of fascination and puzzlement. If monads are merely immaterial, how can they alone constitute reality? In Monads, Composition and Force, Richard T. W. Arthur takes seriously Leibniz's claim of introducing monads to solve the problem of the composition of matter and motion. Going against a trend of idealistic interpretations of Leibniz's thought, Arthur argues that although monads are presupposed as the principles making actual each of the infinite parts of matter, bodies are not composed of them. He offers a fresh interpretation of Leibniz's theory of substance in which monads are enduring primitive forces, corporeal substances are embodied monads, and bodies are aggregates of monads, not mere appearances. In this reading the monads are constitutive unities, constituting an organic unity of function through time, and bodies are phenomenal in two senses; as ever-changing things they are Platonic phenomena and as pluralities, in being perceived together, they are also Democritean phenomena. Arthur argues for this reading by describing how Leibniz's thought is grounded in seventeenth century atomism and the metaphysics of the plurality of forms, showing how his attempt to make this foundation compatible with mechanism undergirds his insightful contributions to biological science and the dynamical foundations he provides for modern physics.

Book Leibniz

    Book Details:
  • Author : Jürgen Lawrenz
  • Publisher : Cambridge Scholars Publishing
  • Release : 2010
  • ISBN : 9781443817240
  • Pages : 0 pages

Download or read book Leibniz written by Jürgen Lawrenz and published by Cambridge Scholars Publishing. This book was released on 2010 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new, comprehensive study of Leibnizâ (TM)s system of thought reveals a philosopher equally intrigued by the complexity of physical reality and the fascinations of his metaphysical laboratory. Many of his most important, but never previously published papers are evaluated in this book. Too often put down as an arch-metaphysician, Leibniz is seen in these pages as a venturer of breathtaking boldness, his ambition being nothing less than to actually solve the enigma of existence. Accordingly his system embraced science equally with metaphysics; they complement and pollinate each other. The outcome is a view of his system as a double ontology. Reality is the domain of the actual; metaphysics the laboratory of the possible. Metaphysics springs to life with his scintillating detective work on force, motion, time, space, limits, infinity, folds, fractals and many other issues that are â ~hotâ (TM) again today; while in all these a direct line is kept open to their impact on physical existents and our understanding of reality. This book is equally suited to expert Leibnizians as to students of Early Modern philosophy; and it may be read with profit by anyone interested in this thinker, whom Bertrand Russell called â oeone of the supreme intellects of all timeâ .

Book G W  Leibniz  Interrelations between Mathematics and Philosophy

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 210 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.

Book Leibniz

    Book Details:
  • Author : Maria Rosa Antognazza
  • Publisher : Cambridge University Press
  • Release : 2008-10-06
  • ISBN : 1316154742
  • Pages : 668 pages

Download or read book Leibniz written by Maria Rosa Antognazza and published by Cambridge University Press. This book was released on 2008-10-06 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt: Of all the thinkers of the century of genius that inaugurated modern philosophy, none lived an intellectual life more rich and varied than Gottfried Wilhelm Leibniz (1646–1716). Maria Rosa Antognazza's pioneering biography provides a unified portrait of this unique thinker and the world from which he came. At the centre of the huge range of Leibniz's apparently miscellaneous endeavours, Antognazza reveals a single master project lending unity to his extraordinarily multifaceted life's work. Throughout the vicissitudes of his long life, Leibniz tenaciously pursued the dream of a systematic reform and advancement of all the sciences. As well as tracing the threads of continuity that bound these theoretical and practical activities to this all-embracing plan, this illuminating study also traces these threads back into the intellectual traditions of the Holy Roman Empire in which Leibniz lived and throughout the broader intellectual networks that linked him to patrons in countries as distant as Russia and to correspondents as far afield as China.

Book The Ancestral Continuum

Download or read book The Ancestral Continuum written by Natalia O'Sullivan and published by Simon and Schuster. This book was released on 2013-02-28 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our ancestry influences more than just our physical characteristics - it can also have a profound effect on who we are as people. The success of TV shows likeWho Do You Think You Are?has prompted a massive interest in people tracing their family roots. But researching into our forebears' lives can often unearth turbulent histories. The past 250 years has seen more change and upheaval on a global scale than at any other point in history. The legacy of the holocaust, of slavery, indentured servitude and of two world wars, has seen a massive migration of peoples across the world, and almost all families know of a recent ancestor whose life was turned upside down by these events. Discovering more about our forebears, and identifying inherited traits, can help us realise our potential and assist us in overcoming obstacles that may be holding us back. As we learn about and honour our ancestors, we can reclaim who we are, discover our creativity, and find our true soul path. In this extraordinary book, readers will find out how to: discover and honour their ancestors, heal their family histories, reveal inherited creative and inspirational gifts, discover their guardian ancestors and learn from inspiring case studies of personal growth. The Ancestral Continuumwill take each reader on a journey through the labyrinth of their own ancestral legacy. As we explore our family tree, we can begin to see ourselves as just one strand in a never-ending tapestry of history and emotion, personality and achievement, birth and death, that will continue into infinity. The book is a powerful and revolutionary blueprint for transforming how we feel about ourselves.

Book Quoting Caravaggio

    Book Details:
  • Author : Mieke Bal
  • Publisher : University of Chicago Press
  • Release : 2001-03
  • ISBN : 9780226035574
  • Pages : 332 pages

Download or read book Quoting Caravaggio written by Mieke Bal and published by University of Chicago Press. This book was released on 2001-03 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author's primary object of investigation in this text is not the Caravaggio, but rather the issue of temporality in art. She analyzes the productives relationship between Caravaggio and a number of late-20th century artists who "quote" the baroque master in their own works.

Book Leibniz and the Natural World

Download or read book Leibniz and the Natural World written by Pauline Phemister and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the present book, Pauline Phemister argues against traditional Anglo-American interpretations of Leibniz as an idealist who conceives ultimate reality as a plurality of mind-like immaterial beings and for whom physical bodies are ultimately unreal and our perceptions of them illusory. Re-reading the texts without the prior assumption of idealism allows the more material aspects of Leibniz's metaphysics to emerge. Leibniz is found to advance a synthesis of idealism and materialism. His ontology posits indivisible, living, animal-like corporeal substances as the real metaphysical constituents of the universe; his epistemology combines sense-experience and reason; and his ethics fuses confused perceptions and insensible appetites with distinct perceptions and rational choice. In the light of his sustained commitment to the reality of bodies, Phemister re-examines his dynamics, the doctrine of pre-established harmony and his views on freedom. The image of Leibniz as a rationalist philosopher who values activity and reason over passivity and sense-experience is replaced by the one of a philosopher who recognises that, in the created world, there can only be activity if there is also passivity; minds, souls and forms if there is also matter; good if there is evil; perfection if there is imperfection.

Book The Impossibility and Necessity of Theodicy

Download or read book The Impossibility and Necessity of Theodicy written by Andrea Poma and published by Springer Science & Business Media. This book was released on 2012-09-22 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an analytical interpretation of Leibniz's 'Essais de Théodicée' with wide-ranging references to all his works. It shows and upholds many thesis: Leibniz's rational conception of faith, his rational notion of mystery, the reformation of classical ontology, and the importance of Leibniz's thought in the tradition of the critical idealism. In his endeavor to formulate a theodicy, Leibniz emerges as a classic exponent of a non-immanentist modern rationalism, capable of engaging in a close dialogue with religion and faith. This relation implies that God and reason are directly involved in posing the challenge and that the defence of one is the defence of the other. Theodicy and logodicy are two key aspects of a philosophy which is open to faith and of a faith which is able to intervene in culture and history.

Book Reintroducing Gabriel Tarde

Download or read book Reintroducing Gabriel Tarde written by Sergio Tonkonoff and published by Taylor & Francis. This book was released on 2024-02-13 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a new introduction to the thought of Gabriel Tarde, highlighting the continuing relevance, and even the novelty, of both his general theoretical approach and many of his specific analyses. Showing that Tarde elaborates a comprehension of the social that was received with difficulty in his time but is increasingly akin to ours, it demonstrates that the infinitesimal sociology offered to us by Tarde provides a framework through which we can understand a whole range of social phenomena. With attention to social networks, public opinion, innovation, diffusion, virality and virtuality—all of which were topics addressed by Tarde himself—the author clarifies and elaborates upon Tarde’s central theses on the multiple, differential, infinitesimal and infinite nature of both the social and the subjective. An examination of the importance of a figure whose work looked ahead to our own age, Reintroducing Gabriel Tarde will appeal to scholars and students of social sciences and social theory with interests in contemporary social thought.