Description

Book Synopsis
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.

Trade Review

“The volume should be of value to scholars of Leibniz with interests in the ‘exact sciences’ and the formal dimensions of his thinking, as well as to historians and philosophers concerned with understanding how Leibniz’s thinking anticipates later approaches. … the volume is a valuable contribution to our understanding of Leibniz’s projects in the exact sciences.” (Christopher P. Noble, Metascience, August 20, 2020)



Table of Contents
Chapter 1. Leibniz on the Logic of Conceptual Containment and Coincidence (Marko Malink and Anubav Vasudevan).- Chapter 2. Leibniz’s Mereology (Massimo Mugnai).- Chapter 3. Leibniz in Cantor’s Paradise: A Dialogue on the Actual Infinite (Richard T.W. Arthur).- Chapter 4. Leibniz and the Continuity of Space (Vincenzo De Risi).- Chapter 5. On the Plurality of Spaces in Leibniz (Valérie Debuiche and David Rabouin).- Chapter 6. One String Attached: Geometrical Exactness in Leibniz’s Parisian Manuscripts (Davide Crippa).- Chapter 7. Leibniz and the Calculus of Variations (Jürgen Jost).- Chapter 8. Teleology and Realism in Leibniz’s Philosophy of Science (Nabeel Hamid).

Leibniz and the Structure of Sciences: Modern

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    A Hardback by Vincenzo De Risi

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      Publisher: Springer Nature Switzerland AG
      Publication Date: 02/01/2020
      ISBN13: 9783030255718, 978-3030255718
      ISBN10: 3030255719

      Description

      Book Synopsis
      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.

      Trade Review

      “The volume should be of value to scholars of Leibniz with interests in the ‘exact sciences’ and the formal dimensions of his thinking, as well as to historians and philosophers concerned with understanding how Leibniz’s thinking anticipates later approaches. … the volume is a valuable contribution to our understanding of Leibniz’s projects in the exact sciences.” (Christopher P. Noble, Metascience, August 20, 2020)



      Table of Contents
      Chapter 1. Leibniz on the Logic of Conceptual Containment and Coincidence (Marko Malink and Anubav Vasudevan).- Chapter 2. Leibniz’s Mereology (Massimo Mugnai).- Chapter 3. Leibniz in Cantor’s Paradise: A Dialogue on the Actual Infinite (Richard T.W. Arthur).- Chapter 4. Leibniz and the Continuity of Space (Vincenzo De Risi).- Chapter 5. On the Plurality of Spaces in Leibniz (Valérie Debuiche and David Rabouin).- Chapter 6. One String Attached: Geometrical Exactness in Leibniz’s Parisian Manuscripts (Davide Crippa).- Chapter 7. Leibniz and the Calculus of Variations (Jürgen Jost).- Chapter 8. Teleology and Realism in Leibniz’s Philosophy of Science (Nabeel Hamid).

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