Page:The Foundations of Science (1913).djvu/12

Solid Bodies and Geometry	73
Law of Homogeneity	74
The Non-Euclidean World	75
The World of Four Dimensions	78
Conclusions	79
Chapter V.—Experience and Geometry	81
Geometry and Astronomy	81
The Law of Relativity	83
Bearing of Experiments	86
Supplement (What is a Point?)	89
Ancestral Experience	91
Part III. Force
Chapter VI.—The Classic Mechanics	92
The Principle of Inertia	93
The Law of Acceleration	97
Anthropomorphic Mechanics	103
The School of the Thread	104
Chapter VII.—Relative Motion and Absolute Motion	107
The Principle of Relative Motion	107
Newton’s Argument	108
Chapter VIII.—Emergy and Thermodynamics	115
Energetics	115
Thermodynamics	119
General Conclusions on Part III	123
Part IV. Nature
Chapter IX.—Hypotheses in Physics	127
The Rôle of Experiment and Generalization	127
The Unity of Nature	130
The Rôle of Hypothesis	133
Origin of Mathematical Physics	136
Chapter X.—The Theories of Modern Physics	140
Meaning of Physical Theories	140
Physics and Mechanism	144
Present State of the Science	148
Chapter XI.—The Caleulus of Probabilities	155
Classification of the Problems of Probability	158
Probability in Mathematics	161
Probability in the Physical Sciences	164
Rouge et noir	167
The Probability of Causes	169
The Theory of Errors	170
Conclusions	172
Chapter XII.—Optics and Electricity	174
Fresnel’s Theory	174
Maxwell’s Theory	175
The Mechanical Explanation of Physical Phenomena	177