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). 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.
