Produced by Bryan Ness and the Online Distributed Proofreading Team at http://www.pgdp.net (This book was produced from scanned images of public domain material from the Google Print project.) SCIENCE AND EDUCATION A SERIES OF VOLUMES FOR THE PROMOTION OF SCIENTIFIC RESEARCH AND EDUCATIONAL PROGRESS EDITED BY J. MCKEEN CATTELL VOLUME I--THE FOUNDATIONS OF SCIENCE UNDER THE SAME EDITORSHIP SCIENCE AND EDUCATION. A series of volumes for the promotion of scientific research and educational progress. Volume I. The Foundations of Science. By H. POINCARÉ. Containing the authorised English translation by George Bruce Halsted of "Science and Hypothesis," "The Value of Science," and "Science and Method." Volume II. Medical Research and Education. By Richard Mills Pearce, William H. Welch, W. H. Howell, Franklin P. Mall, Lewellys F. Barker, Charles S. Minot, W. B. Cannon, W. T. Councilman Theobald Smith, G. N. Stewart, C. M. Jackson, E. P. Lyon, James B. Herrick, John M. Dodson, C. R. Bardeen, W. Ophuls, S. J. Meltzer, James Ewing, W. W. Keen, Henry H. Donaldson, Christian A. Herter, and Henry P. Bowditch. Volume III. University Control. By J. MCKEEN CATTELL and other authors. AMERICAN MEN OF SCIENCE. A Biographical Directory. SCIENCE. A weekly journal devoted to the advancement of science. The official organ of the American Association for the Advancement of Science. THE POPULAR SCIENCE MONTHLY. A monthly magazine devoted to the diffusion of science. THE AMERICAN NATURALIST. A monthly journal devoted to the biological sciences, with special reference to the factors of evolution. THE SCIENCE PRESS NEW YORK GARRISON, N. Y. THE FOUNDATIONS OF SCIENCE SCIENCE AND HYPOTHESIS THE VALUE OF SCIENCE SCIENCE AND METHOD BY H. POINCARÉ AUTHORIZED TRANSLATION BY GEORGE BRUCE HALSTED WITH A SPECIAL PREFACE BY POINCARÉ, AND AN INTRODUCTION BY JOSIAH ROYCE, HARVARD UNIVERSITY THE SCIENCE PRESS NEW YORK AND GARRISON, N. Y. 1913 Copyright, 1913 BY THE SCIENCE PRESS PRESS OF THE NEW ERA PRINTING COMPANY LANCASTER, PA. CONTENTS PAGE Henri Poincaré ix Author's Preface to the Translation 3 SCIENCE AND HYPOTHESIS Introduction by Royce 9 Introduction 27 PART I. _Number and Magnitude_