Mathematizing Space

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).

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

Klappentext

This book brings together papers of the conference on 'Space, Geometry and the Imagination from Antiquity to the Modern Age' held in Berlin, Germany, 27-29 August 2012. Focusing on the interconnections between the history of geometry and the philosophy of space in the pre-Modern and Early Modern Age, the essays in this volume are particularly directed toward elucidating the complex epistemological revolution that transformed the classical geometry of figures into the modern geometry of space.

Contributors: Graciela De Pierris
Franco Farinelli
Michael Friedman
Daniel Garber
Jeremy Gray
Gary Hatfield
Andrew Janiak
Douglas Jesseph
Alexander Jones
Henry Mendell
David Rabouin

Inhalt
Vincenzo De Risi: Introduction.- Henry Mendell: What's location got to do with it? Place, Space, and the Infinite in Classical Greek Mathematics.- Jeremy Gray: A note on lines and planes in Euclid's geometry.- Alexander Jones: Theon of Smyrna and Ptolemy on Celestial Modelling in Two and Three Dimensions.- David Rabouin: Proclus' Conception of Geometric Space and its Actuality.- Franco Farinelli: Subject, Space, Object: The Birth of Modernity.- Gary Hatfield: On Natural Geometry and Seeing Distance Directly in Descartes.- Douglas Jesseph: Hobbes's Theory of Space.- Andrew Janiak: Mathematics and Infinity in Descartes and Newton.- Daniel Garber: Leibniz's Transcendental Aesthetic.- Graciela De Pierris: Hume's Skepticism and Inductivism concerning Space and Geometry.- Michael Friedman: Kant on Geometry and Experience.