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Mathematizing Space

The Objects of Geometry from Antiquity to the Early Modern Age

  • Conference proceedings
  • © 2015

Overview

Editors:
  1. Vincenzo Risi

    1. History of Science, Max Planck Institute, Berlin, Germany

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  • Includes papers by top-notch researchers in the area
  • Spans centuries from Greek mathematics to Kant
  • Includes supplementary material: sn.pub/extras

Part of the book series: Trends in the History of Science (TRENDSHISTORYSCIENCE)

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Table of contents (12 papers)

  1. Front Matter

    Pages i-ix
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  2. Introduction

    • Vincenzo De Risi
    Pages 1-13

  3. What’s Location Got to Do with It? Place, Space, and the Infinite in Classical Greek Mathematics

    • Henry Mendell
    Pages 15-63

  4. A Note on Lines and Planes in Euclid’s Geometry

    • Jeremy Gray
    Pages 65-73

  5. Theon of Smyrna and Ptolemy on Celestial Modelling in Two and Three Dimensions

    • Alexander Jones
    Pages 75-103

  6. Proclus’ Conception of Geometric Space and Its Actuality

    • David Rabouin
    Pages 105-142

  7. Subject, Space, Object: The Birth of Modernity

    • Franco Farinelli
    Pages 143-155

  8. On Natural Geometry and Seeing Distance Directly in Descartes

    • Gary Hatfield
    Pages 157-191

  9. Hobbes’s Theory of Space

    • Douglas Jesseph
    Pages 193-208

  10. Mathematics and Infinity in Descartes and Newton

    • Andrew Janiak
    Pages 209-230

  11. Leibniz’s Transcendental Aesthetic

    • Daniel Garber
    Pages 231-254

  12. Hume ’s Skepticism and Inductivism Concerning Space and Geometry

    • Graciela De Pierris
    Pages 255-274

  13. Kant on Geometry and Experience

    • Michael Friedman
    Pages 275-309

  14. Back Matter

    Pages 311-318
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Keywords

About this book

This book collects the papers of the conference held in Berlin, Germany, 27-29 August 2012, on 'Space, Geometry and the Imagination from Antiquity to the Modern Age'. The conference was a joint effort by the Max Planck Institute for the History of Science (Berlin) and the Centro die Ricerca Matematica Ennio De Giorgi (Pisa).

Editors and Affiliations

  • History of Science, Max Planck Institute, Berlin, Germany

    Vincenzo Risi

Bibliographic Information

  • Book Title: Mathematizing Space

  • Book Subtitle: The Objects of Geometry from Antiquity to the Early Modern Age

  • Editors: Vincenzo Risi

  • Series Title: Trends in the History of Science

  • DOI: https://doi.org/10.1007/978-3-319-12102-4

  • Publisher: Birkhäuser Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer International Publishing Switzerland 2015

  • Hardcover ISBN: 978-3-319-12101-7Published: 03 March 2015

  • Softcover ISBN: 978-3-319-37984-5Published: 08 October 2016

  • eBook ISBN: 978-3-319-12102-4Published: 31 January 2015

  • Series ISSN: 2297-2951

  • Series E-ISSN: 2297-296X

  • Edition Number: 1

  • Number of Pages: IX, 318

  • Number of Illustrations: 33 b/w illustrations

  • Topics: History of Mathematical Sciences, Geometry, History of Science

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