G.W. Leibniz, Interrelations between Mathematics and Philosophy

G.W. Leibniz, Interrelations between Mathematics and Philosophy

Author: Norma B. Goethe

Publisher: Springer

Published: 2015-04-20

Total Pages: 215

ISBN-13: 9401796645

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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 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.

Analysis and Synthesis in Mathematics

Analysis and Synthesis in Mathematics

Author: Michael Otte

Publisher: Springer Science & Business Media

Published: 1997

Total Pages: 476

ISBN-13: 9780792345701

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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.


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.

Geometry and Monadology

Geometry and Monadology

Author: Vincenzo de Risi

Publisher: Springer Science & Business Media

Published: 2007-08-08

Total Pages: 658

ISBN-13: 3764379863

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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.


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.

Gottfried Wilhelm Leibniz

Gottfried Wilhelm Leibniz

Author: M. B. W. Tent

Publisher: CRC Press

Published: 2011-10-17

Total Pages: 262

ISBN-13: 1439892229

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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.


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.

Philosophical Essays

Philosophical Essays

Author: Gottfried Wilhelm Freiherr von Leibniz

Publisher: Hackett Publishing

Published: 1989-01-01

Total Pages: 396

ISBN-13: 9780872200623

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Features Leibniz's writings including letters, published papers, and fragments on a variety of philosophical, religious, mathematical, and scientific questions.


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.

Leibniz and the Structure of Sciences

Leibniz and the Structure of Sciences

Author: Vincenzo De Risi

Publisher: Springer Nature

Published: 2020-01-01

Total Pages: 304

ISBN-13: 3030255727

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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.


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.

The History of Continua

The History of Continua

Author: Stewart Shapiro

Publisher: Oxford University Press, USA

Published: 2021

Total Pages: 593

ISBN-13: 0198809646

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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.


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)

The Young Leibniz and his Philosophy (1646–76)

Author: Stuart Brown

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 340

ISBN-13: 9401735077

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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.


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.

The Philosophy of Leibniz : Metaphysics and Language

The Philosophy of Leibniz : Metaphysics and Language

Author: Berkeley Benson Mates Professor of Philosophy University of California

Publisher: Oxford University Press, USA

Published: 1986-05-08

Total Pages: 286

ISBN-13: 0198020732

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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.


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.

The Cambridge Companion to Leibniz

The Cambridge Companion to Leibniz

Author: Nicholas Jolley

Publisher: Cambridge University Press

Published: 1995

Total Pages: 520

ISBN-13: 9780521367691

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The most comprehensive account of the full range of Leibniz's thought.


Book Synopsis The Cambridge Companion to Leibniz by : Nicholas Jolley

Download or read book The Cambridge Companion to Leibniz written by Nicholas Jolley and published by Cambridge University Press. This book was released on 1995 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: The most comprehensive account of the full range of Leibniz's thought.