Gw Leibniz Interrelations Between Mathematics And Philosophy

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G.W. Leibniz, Interrelations between Mathematics and Philosophy

Author : Norma B. Goethe
Publisher : Springer
ISBN 13 : 9401796645
Total Pages : 215 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis G.W. Leibniz, Interrelations between Mathematics and Philosophy by : Norma B. Goethe

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.

Geometry and Monadology

Author : Vincenzo de Risi
Publisher : Springer Science & Business Media
ISBN 13 : 3764379863
Total Pages : 658 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Geometry and Monadology by : Vincenzo de Risi

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.

Analysis and Synthesis in Mathematics

Author : Michael Otte
Publisher : Springer Science & Business Media
ISBN 13 : 9780792345701
Total Pages : 476 pages
Book Rating : 4.3/5 (457 download)

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Book Synopsis Analysis and Synthesis in Mathematics by : Michael Otte

Download or read book Analysis and Synthesis in Mathematics written by Michael Otte and published by Springer Science & Business Media. This book was released on 1997 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book discusses the main interpretations of the classical distinction between analysis and synthesis with respect to mathematics. In the first part, this is discussed from a historical point of view, by considering different examples from the history of mathematics. In the second part, the question is considered from a philosophical point of view, and some new interpretations are proposed. Finally, in the third part, one of the editors discusses some common aspects of the different interpretations.

Gottfried Wilhelm Leibniz

Author : M. B. W. Tent
Publisher : CRC Press
ISBN 13 : 1439892229
Total Pages : 262 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Gottfried Wilhelm Leibniz by : M. B. W. Tent

Download or read book Gottfried Wilhelm Leibniz written by M. B. W. Tent and published by CRC Press. This book was released on 2011-10-17 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gottfried Wilhelm Leibniz: The Polymath Who Brought Us Calculus focuses on the life and accomplishments of one of the seventeenth century’s most influential mathematicians and philosophers. The book, which draws on Leibniz’s written works and translations, and reconstructs dialogues Leibniz may have had based on the historical record of his life experiences, portrays Leibniz as both a phenomenal genius and a real person. Suitable for middle school age readers, the book traces Leibniz’s life from his early years as a young boy and student to his later work as a court historian. It discusses the intellectual and social climate in which he fought for his ideas, including his rather contentious relationship with Newton (both claimed to have invented calculus). The text describes how Leibniz developed the first mechanical calculator that could handle addition, subtraction, multiplication, and division. It also examines his passionate advocacy of rational arguments in all controversial matters, including the law, expressed in his famous exclamation calculemus: let us calculate to see who is right. Leibniz made groundbreaking contributions to mathematics and philosophy that have shaped our modern views of these fields.

Leibniz and the Structure of Sciences

Author : Vincenzo De Risi
Publisher : Springer Nature
ISBN 13 : 3030255727
Total Pages : 304 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Leibniz and the Structure of Sciences by : Vincenzo De Risi

Download or read book Leibniz and the Structure of Sciences written by Vincenzo De Risi and published by Springer Nature. This book was released on 2020-01-01 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book offers a collection of essays on various aspects of Leibniz’s scientific thought, written by historians of science and world-leading experts on Leibniz. The essays deal with a vast array of topics on the exact sciences: Leibniz’s logic, mereology, the notion of infinity and cardinality, the foundations of geometry, the theory of curves and differential geometry, and finally dynamics and general epistemology. Several chapters attempt a reading of Leibniz’s scientific works through modern mathematical tools, and compare Leibniz’s results in these fields with 19th- and 20th-Century conceptions of them. All of them have special care in framing Leibniz’s work in historical context, and sometimes offer wider historical perspectives that go much beyond Leibniz’s researches. A special emphasis is given to effective mathematical practice rather than purely epistemological thought. The book is addressed to all scholars of the exact sciences who have an interest in historical research and Leibniz in particular, and may be useful to historians of mathematics, physics, and epistemology, mathematicians with historical interests, and philosophers of science at large.

Leibniz on the Parallel Postulate and the Foundations of Geometry

Author : Vincenzo De Risi
Publisher : Birkhäuser
ISBN 13 : 3319198637
Total Pages : 195 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Leibniz on the Parallel Postulate and the Foundations of Geometry by : Vincenzo De Risi

Download or read book Leibniz on the Parallel Postulate and the Foundations of Geometry written by Vincenzo De Risi and published by Birkhäuser. This book was released on 2016-01-28 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a general introduction to the geometrical studies of Gottfried Wilhelm Leibniz (1646-1716) and his mathematical epistemology. In particular, it focuses on his theory of parallel lines and his attempts to prove the famous Parallel Postulate. Furthermore it explains the role that Leibniz’s work played in the development of non-Euclidean geometry. The first part is an overview of his epistemology of geometry and a few of his geometrical findings, which puts them in the context of the seventeenth-century studies on the foundations of geometry. It also provides a detailed mathematical and philosophical commentary on his writings on the theory of parallels, and discusses how they were received in the eighteenth century as well as their relevance for the non-Euclidean revolution in mathematics. The second part offers a collection of Leibniz’s essays on the theory of parallels and an English translation of them. While a few of these papers have already been published (in Latin) in the standard Leibniz editions, most of them are transcribed from Leibniz’s manuscripts written in Hannover, and published here for the first time. The book provides new material on the history of non-Euclidean geometry, stressing the previously neglected role of Leibniz in these developments. This volume will be of interest to historians in mathematics, philosophy or logic, as well as mathematicians interested in non-Euclidean geometry.

Philosophical Essays

Author : Gottfried Wilhelm Freiherr von Leibniz
Publisher : Hackett Publishing
ISBN 13 : 9780872200623
Total Pages : 396 pages
Book Rating : 4.2/5 (6 download)

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Book Synopsis Philosophical Essays by : Gottfried Wilhelm Freiherr von Leibniz

Download or read book Philosophical Essays written by Gottfried Wilhelm Freiherr von Leibniz and published by Hackett Publishing. This book was released on 1989-01-01 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: Features Leibniz's writings including letters, published papers, and fragments on a variety of philosophical, religious, mathematical, and scientific questions.

The History of Continua

Author : Stewart Shapiro
Publisher : Oxford University Press, USA
ISBN 13 : 0198809646
Total Pages : 593 pages
Book Rating : 4.1/5 (988 download)

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Book Synopsis The History of Continua by : Stewart Shapiro

Download or read book The History of Continua written by Stewart Shapiro and published by Oxford University Press, USA. This book was released on 2021 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical and philosophical thought about continuity has changed considerably over the ages, from Aristotle's insistence that a continuum is a unified whole, to the dominant account today, that a continuum is composed of infinitely many points. This book explores the key ideas and debates concerning continuity over more than 2500 years.

The Young Leibniz and his Philosophy (1646–76)

Author : Stuart Brown
Publisher : Springer Science & Business Media
ISBN 13 : 9401735077
Total Pages : 340 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis The Young Leibniz and his Philosophy (1646–76) by : Stuart Brown

Download or read book The Young Leibniz and his Philosophy (1646–76) written by Stuart Brown and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: Despite the importance of Leibniz's mature philosophy, his early work has been relatively neglected. This collection begins with an overview of his formative years and includes 12 original papers by internationally-known scholars. The contributions reflect the wide range of the young Leibniz's philosophical interests and his interests in related subjects, including law, physics and theology. Some chapters explore his relationship to other philosophers, including his teachers in Leipzig and Jena and his Paris friend Tschirnhaus, as well as Hobbes and Spinoza. Others focus on particular periods or texts and deal with themes ranging from ethics and free-will to his philosophically-significant account of transubstantiation and his early monadology. Some of the topics are familiar to Leibniz students - harmony, sufficient reason and possible worlds, for instance - but others are less familiar - for instance, his attitude to historical truth, millenarianism and the relation of mathematics to the natural world. The book provides an introduction to Leibniz's early philosophy and throws light on the development of some of the doctrines with which he is particularly associated.

Tercentenary Essays on the Philosophy and Science of Leibniz

Author : Lloyd Strickland
Publisher : Springer
ISBN 13 : 3319388304
Total Pages : 354 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Tercentenary Essays on the Philosophy and Science of Leibniz by : Lloyd Strickland

Download or read book Tercentenary Essays on the Philosophy and Science of Leibniz written by Lloyd Strickland and published by Springer. This book was released on 2016-11-15 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents new research into key areas of the work of German philosopher and mathematician Gottfried Wilhelm Leibniz (1646-1716). Reflecting various aspects of Leibniz’s thought, this book offers a collection of original research arranged into four separate themes: Science, Metaphysics, Epistemology, and Religion and Theology. With in-depth articles by experts such as Maria Rosa Antognazza, Nicholas Jolley, Agustín Echavarría, Richard Arthur and Paul Lodge, this book is an invaluable resource not only for readers just beginning to discover Leibniz, but also for scholars long familiar with his philosophy and eager to gain new perspectives on his work.

The Philosophy of Leibniz : Metaphysics and Language

Author : Berkeley Benson Mates Professor of Philosophy University of California
Publisher : Oxford University Press, USA
ISBN 13 : 0198020732
Total Pages : 286 pages
Book Rating : 4.1/5 (98 download)

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Book Synopsis The Philosophy of Leibniz : Metaphysics and Language by : Berkeley Benson Mates Professor of Philosophy University of California

Download or read book The Philosophy of Leibniz : Metaphysics and Language written by Berkeley Benson Mates Professor of Philosophy University of California and published by Oxford University Press, USA. This book was released on 1986-05-08 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gottfried Wilhelm Leibniz (1646-1716) is one of the most imposing figures in the history of Western thought. In this definitive treatment of his wide-ranging philosophical ideas, Benson Mates has brought his own formidable abilities to bear on the unwieldy--and virtually inaccessible--corpus of Leibniz's work. The result is an elegantly written and meticulously reasoned exegesis of the fundamental Leibniz, one that is destined to be a cornerstone of Leibniz scholarship for years to come.

Handbook of the History and Philosophy of Mathematical Practice

Author : Bharath Sriraman
Publisher : Springer Nature
ISBN 13 : 3031408462
Total Pages : 3221 pages
Book Rating : 4.0/5 (314 download)

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Book Synopsis Handbook of the History and Philosophy of Mathematical Practice by : Bharath Sriraman

Download or read book Handbook of the History and Philosophy of Mathematical Practice written by Bharath Sriraman and published by Springer Nature. This book was released on with total page 3221 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Oxford Handbook of Leibniz

Author : Maria Rosa Antognazza
Publisher : Oxford University Press
ISBN 13 : 0190913630
Total Pages : 928 pages
Book Rating : 4.1/5 (99 download)

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Book Synopsis The Oxford Handbook of Leibniz by : Maria Rosa Antognazza

Download or read book The Oxford Handbook of Leibniz written by Maria Rosa Antognazza and published by Oxford University Press. This book was released on 2018-10-01 with total page 928 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Great Circles

Author : Emily Rolfe Grosholz
Publisher : Springer
ISBN 13 : 3319982311
Total Pages : 274 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Great Circles by : Emily Rolfe Grosholz

Download or read book Great Circles written by Emily Rolfe Grosholz and published by Springer. This book was released on 2018-11-13 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume explores the interaction of poetry and mathematics by looking at analogies that link them. The form that distinguishes poetry from prose has mathematical structure (lifting language above the flow of time), as do the thoughtful ways in which poets bring the infinite into relation with the finite. The history of mathematics exhibits a dramatic narrative inspired by a kind of troping, as metaphor opens, metonymy and synecdoche elaborate, and irony closes off or shifts the growth of mathematical knowledge. The first part of the book is autobiographical, following the author through her discovery of these analogies, revealed by music, architecture, science fiction, philosophy, and the study of mathematics and poetry. The second part focuses on geometry, the circle and square, launching us from Shakespeare to Housman, from Euclid to Leibniz. The third part explores the study of dynamics, inertial motion and transcendental functions, from Descartes to Newton, and in 20th c. poetry. The final part contemplates infinity, as it emerges in modern set theory and topology, and in contemporary poems, including narrative poems about modern cosmology.

Leibniz on Binary

Author : Lloyd Strickland
Publisher : MIT Press
ISBN 13 : 0262372126
Total Pages : 243 pages
Book Rating : 4.2/5 (623 download)

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Book Synopsis Leibniz on Binary by : Lloyd Strickland

Download or read book Leibniz on Binary written by Lloyd Strickland and published by MIT Press. This book was released on 2022-10-25 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Leibniz: Philosophical Essays

Author : Gottfried Wilhelm Leibniz
Publisher : Hackett Publishing
ISBN 13 : 1603849580
Total Pages : 386 pages
Book Rating : 4.6/5 (38 download)

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Book Synopsis Leibniz: Philosophical Essays by : Gottfried Wilhelm Leibniz

Download or read book Leibniz: Philosophical Essays written by Gottfried Wilhelm Leibniz and published by Hackett Publishing. This book was released on 2015-03-15 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although Leibniz's writing forms an enormous corpus, no single work stands as a canonical expression of his whole philosophy. In addition, the wide range of Leibniz's work--letters, published papers, and fragments on a variety of philosophical, religious, mathematical, and scientific questions over a fifty-year period--heightens the challenge of preparing an edition of his writings in English translation from the French and Latin.

Monads, Composition, and Force

Author : Richard T. W. Arthur
Publisher : Oxford University Press
ISBN 13 : 019254215X
Total Pages : 368 pages
Book Rating : 4.1/5 (925 download)

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Book Synopsis Monads, Composition, and Force by : Richard T. W. Arthur

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.