Seventeenth-Century Indivisibles Revisited

  • Vincent Jullien

Part of the Science Networks. Historical Studies book series (SNHS, volume 49)

Table of contents

  1. Front Matter
    Pages i-vi
  2. Kirsti Andersen, Enrico Giusti, Vincent Jullien
    Pages 31-55
  3. Patricia Radelet-de Grave
    Pages 57-86
  4. Vincent Jullien
    Pages 87-103
  5. Tiziana Bascelli
    Pages 105-136
  6. Vincent Jullien
    Pages 165-175
  7. Vincent Jullien
    Pages 177-210
  8. Dominique Descotes
    Pages 211-248
  9. Dominique Descotes
    Pages 249-273
  10. Antoni Malet
    Pages 275-284
  11. M. Rosa Massa Esteve
    Pages 285-306
  12. Antoni Malet, Marco Panza
    Pages 307-346
  13. Antoni Malet, Marco Panza
    Pages 365-390
  14. Vincent Jullien
    Pages 451-457
  15. Jean Celeyrette
    Pages 459-463

About this book

Introduction

The tremendous success of indivisibles methods in geometry in the seventeenth century, responds to a vast project: installation of infinity in mathematics. The pathways by the authors are very diverse, as are the characterizations of indivisibles, but there are significant factors of unity between the various doctrines of indivisible; the permanence of the language used by all authors is the strongest sign.

These efforts do not lead to the stabilization of a mathematical theory (with principles or axioms, theorems respecting these first statements, followed by applications to a set of geometric situations), one must nevertheless admire the magnitude of the results obtained by these methods and highlights the rich relationships between them and integral calculus.

The present book aims to be exhaustive since it analyzes the works of all major inventors of methods of indivisibles during the seventeenth century, from Kepler to Leibniz. It takes into account the rich existing literature usually devoted to a single author. This book results from the joint work of a team of specialists able to browse through this entire important episode in the history of mathematics and to comment it.

The list of authors involved in indivisibles´ field is probably sufficient to realize the richness of this attempt; one meets Kepler, Cavalieri, Galileo, Torricelli, Gregoire de Saint Vincent, Descartes, Roberval, Pascal, Tacquet, Lalouvère, Guldin, Barrow, Mengoli, Wallis, Leibniz, Newton.

Keywords

epistemology indivisibles modern science

Editors and affiliations

  • Vincent Jullien
    • 1
  1. 1.Département de PhilosophieUniversité de NantesNantesFrance

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-00131-9
  • Copyright Information Springer International Publishing Switzerland 2015
  • Publisher Name Birkhäuser, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-00130-2
  • Online ISBN 978-3-319-00131-9
  • Series Print ISSN 1421-6329
  • Series Online ISSN 2296-6080
  • About this book