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Leibniz and the Structure of Sciences

Modern Perspectives on the History of Logic, Mathematics, Epistemology

  • Book
  • © 2019

Overview

Editors:
  1. Vincenzo De Risi

    1. Labratoire SPHère - CNRS, Paris, France, Max Planck Institute for the History of Science, Berlin, Germany

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  • Contains wide historical accounts with emphasis on scientific practices
  • Engages today’s scientists and philosophers of science by its Contemporary Perspectives on Leibnitz
  • Offers news essays from the hand of world–leading experts in the field

Part of the book series: Boston Studies in the Philosophy and History of Science (BSPS, volume 337)

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-xi
    Download chapter PDF

  2. Leibniz on the Logic of Conceptual Containment and Coincidence

    • Marko Malink, Anubav Vasudevan
    Pages 1-46

  3. Leibniz’s Mereology in the Essays on Logical Calculus of 1686–1690

    • Massimo Mugnai
    Pages 47-69

  4. Leibniz in Cantor’s Paradise: A Dialogue on the Actual Infinite

    • Richard T. W. Arthur
    Pages 71-109

  5. Leibniz on the Continuity of Space

    • Vincenzo De Risi
    Pages 111-169

  6. On the Plurality of Spaces in Leibniz

    • Valérie Debuiche, David Rabouin
    Pages 171-201

  7. One String Attached: Geometrical Exactness in Leibniz’s Parisian Manuscripts

    • Davide Crippa
    Pages 203-252

  8. Leibniz and the Calculus of Variations

    • Jürgen Jost
    Pages 253-270

  9. Teleology and Realism in Leibniz’s Philosophy of Science

    • Nabeel Hamid
    Pages 271-298
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Keywords

About this book

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.

Reviews

“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)

Editors and Affiliations

  • Labratoire SPHère - CNRS, Paris, France, Max Planck Institute for the History of Science, Berlin, Germany

    Vincenzo De Risi

About the editor

Vincenzo De Risi is currently Research Fellow at the French CNRS. He has previously been Research Director at the Max Planck Institute for The History of Science in Berlin (2010-2016), fellow of the Max Planck Institute for Mathematics in the Sciences in Leipzig and invited Leibniz-Professor in the latter city. He worked extensively on the history of geometry and geometrical epistemology from Antiquity to the Early Modern Age, and in particular on Leibniz’s analysis situs, and the discovery of non-Euclidean geometry. His main publications are Geometry and Monadology: Leibniz’s Analysis Situs and Philosophy of Space (2007), Leibniz on the Parallel Postulate and the Foundations of Geometry (2015), a commented edition and translation of Saccheri’s masterwork on non-Euclidean geometry (Euclid vindicated from Every Blemish, 2014), and a collection of essays on geometry and space (Mathematizing Space: The Objects of Geometry from Antiquity to the Early Modern Age, 2015), all published by Birkhäuser. He has recently published a long essay on the tradition of Euclid’s Elements (The Development of Euclidean Axiomatics, “Archive for History of Exact Sciences”, 2016)

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