Science and Hypothesis

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SCIENCE AND HYPOTHESIS



BY

H. POINCARÉ,

MEMBER OF THE INSTITUTE OF FRANCE.



With a Preface by

J. LARMOR, D.Sc., Sec. R.S.,

Lucasian Professor of Mathematics in the University of Cambridge,




London and Newcastle-on-Tyne:

THE WALTER SCOTT PUBLISHING CO., LTD.

NEW YORK: 3 EAST 14TH STREET.

1905.

CONTENTS.




PAGE
Translator's Note ix
Introduction xi
Author's Preface xxi

PART I.
NUMBER AND MAGNITUDE.

CHAPTER I.
On the Nature of Mathematical Reasoning 1

CHAPTER II.
Mathematical Magnitude and Experiment 17

PART II.
SPACE.

CHAPTER III.
Non-Euclidean Geometries 35

CHAPTER IV.
Space and Geometry 51

CHAPTER V.
Experiment and Geometry 72

PART III.
FORCE.

CHAPTER VI.
The Classical Mechanics 89

CHAPTER VII.
Relative and Absolute Motion 111

CHAPTER VIII.
Energy and Thermo-dynamics 123

PART IV.
NATURE.

CHAPTER IX.
Hypotheses in Physics 140

CHAPTER X.
The Theories of Modern Physics 160

CHAPTER XI.
The Calculus of Probabilities 183

CHAPTER XII.
Optics and Electricity 211

CHAPTER XIII.
Electro-dynamics 225