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© 2007

Geometry and Monadology

Leibniz’s Analysis Situs and Philosophy of Space

Benefits

  • The first ever, comprehensive historical reconstruction of Leibniz’s geometry

  • A study on the relationship between geometry and metaphysics in Leibniz’s thought

  • A face-to-face confrontation between Leibniz’s philosophy of geometry and Kant’s transcendentalism

  • Many unpublished Leibnizean manuscripts

Book

Part of the Science Networks. Historical Studies book series (SNHS, volume 33)

Table of contents

  1. Front Matter
    Pages I-XX
  2. Vincenzo De Risi
    Pages 1-126
  3. Vincenzo De Risi
    Pages 127-295
  4. Vincenzo De Risi
    Pages 297-436
  5. Vincenzo De Risi
    Pages 437-577
  6. Back Matter
    Pages 579-658

About this book

Introduction

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 the last years of his life. It is indeed the first ever comprehensive historical reconstruction of Leibniz’s geometry that meets the interests of both mathematicians and philosophers. The main purpose of the work is to offer a better understanding of the Leibnizean philosophy of space and mature metaphysics, through a pressing confrontation with the problems of geometric foundations.

Regarding the scope of these problems, the book also deals in depth with Leibniz’s theory of sensibility, thus favouring the comparison and contrast between Leibniz’s philosophy and Kant’s transcendentalist solution. The Appendix references to a number of previously unpublished manuscripts on geometry from the Leibniz Archiv in Hannover, which disclose new theories, points of view and technicalities of Leibniz’s thought.

I find his [De Risi's] contribution to the debate on the reality of corporeal substances to be at once original and decisive. And finally, I am hugely impressed by the expertise he has brought to bear on both the purely formal and the deeply metaphysical sides, each requiring vastly different but equally considerable competences. I am impressed by the original way in which he makes sense of the phenomenalistic strains in Leibniz’s thought by connecting them with the metaphysics of expression, and this in turn with the foundation of real space. In sum, this [book] is an extraordinary accomplishment.

(R.T.W. Arthur, McMaster University)

I believe that this is an extraordinary [book] which sets new standards for Leibnizean scholarship—and, in particular, for historical and philosophical investigation into the relationship between Leibniz and Kant.

(M. Friedman, Stanford University)

Keywords

Analysis Situs ETA Gottfried Wilhelm Leibniz Leibniz, Gottfried Wilhelm geometry philosophy research

Authors and affiliations

  1. 1.Scuola Normale SuperiorePiazza dei CavalieriPisaItaly

Bibliographic information

  • Book Title Geometry and Monadology
  • Book Subtitle Leibniz’s Analysis Situs and Philosophy of Space
  • Authors Vincenzo de Risi
  • Series Title Science Networks. Historical Studies
  • DOI https://doi.org/10.1007/978-3-7643-7986-5
  • Copyright Information Birkhäuser Basel 2007
  • Publisher Name Birkhäuser, Basel
  • eBook Packages Humanities, Social Sciences and Law History (R0)
  • Hardcover ISBN 978-3-7643-7985-8
  • eBook ISBN 978-3-7643-7986-5
  • Series ISSN 1421-6329
  • Series E-ISSN 2296-6080
  • Edition Number 1
  • Number of Pages XX, 658
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics History of Science
  • Buy this book on publisher's site

Reviews

From the reviews:

I find his contribution to the debate on the reality of corporeal substances to be at once original and decisive. And finally, I am hugely impressed by the expertise he has brought to bear on both the purely formal and the deeply metaphysical sides, each requiring vastly different but equally considerable competences. I am impressed by the original way in which he makes sense of the phenomenalistic strains in Leibniz’s thought by connecting them with the metaphysics of expression, and this in turn with the foundation of real space. In sum, this dissertation is an extraordinary accomplishment.

(R.T.W. Arthur, McMaster University)

I believe that this is an extraordinary dissertation which sets new standards for Leibnizean scholarship—and, in particular, for historical and philosophical investigation into the relationship between Leibniz and Kant.

(M. Friedman, Stanford University)

“The book under review is based on a doctoral dissertation defended at the Scuola Normale Superiore in Pisa, Italy. It deals with G. W. Leibniz’s lifelong project of founding a new geometrical science, the analysis situs. … In sum the author has provided a great survey of Leibniz’s writings on geometry presented with deep analyses in several fields of mathematics and metaphysics, providing a vivid impression of the interconnectedness of Leibniz’s general system of science.” (Volker Peckhaus, Zentralblatt MATH, Vol. 1180, 2010)