:CO
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HANDBOUND
AT THE
UNIVERSITY OF
TORONTO PRESS
SCIENCE AND HYPOTHESIS
SCIENCE
AND HYPOTHESIS
BY
H. POINCARE,
MEMBER OF THE INSTITUTE OF FRANCE.
WITH A PREFACE BY
J. LARMOR, D.Sc., SEC. R.S.,
Liicasian Professor of Mathematics in the University of Cambridge,
Condon and Hewcastlc-on-Cyne:
THE WALTER SCOTT PUBLISHING CO., LTD
NEW YORK: 3 EAST J4TH STREET. ~\
1905.
Q
I7ST
P7SCONTENTS.
CHAPTER III.
NON-EUCLIDEAN GEOMETRIES
PAGE
TRANSLATOR'S NOTE ix
INTRODUCTION
AUTHOR'S PREFACE
PART I.
NUMBER AND MAGNITUDE.
CHAPTER I.
ON THE NATURE OF MATHEMATICAL REASONING i
CHAPTER II.
MATHEMATICAL MAGNITUDE AND EXPERIMENT. 17
PART II.
SPACE.
VI CONTENTS.
CHAPTER IV.
PAGE
SPACE AND GEOMETRY.... 5 r
CHAPTER V.
EXPERIMENT AND GEOMETRY... -72
PART III.
FORCE.
CHAPTER VI.
THE CLASSICAL MECHANICS … 89
CHAPTER VII.
RELATIVE AND ABSOLUTE MOTION.. i j i
CHAPTER VIII.
ENERGY AND THERMO-DYNAMICS.. 123
PART IV.
NA TUKE.
CHAPTER IX.
HYPOTHESES IN PHYSICS … 140
CONTENTS. vii
CHAPTER X.
PAGE
j THE THEORIES OF MODERN PHYSICS.. 160
CHAPTER XL
THE CALCULUS OF PROBABILITIES...183
CHAPTER XII.
OPTICS AND ELECTRICITY....2ll
CHAPTER XIII.
ELECTRO-DYNAMICS.. * ^2
TRANSLATOR'S NOTE
THE translator wishes to express his indebted ness to Professor Larmor, for kindly consenting to introduce the author of Science and Hypothesis to English readers; to Dr. F. S. Ma…