Science and HypothesisNontechnical essays on hypothesis in physical theory, concept of number, magnitude, force, intuition vs. logic, more. Chapters include "On the Nature of Mathematical Reasoning," "Mathematical Magnitude and Experiment," "Non-Euclidean Geometries," "Space and Geometry," "Experiment and Geometry," The Classical Mechanics," "Energy and Thermo-Dynamics," "Hypotheses in Physics," and "The Calculus of Probabilities." |
Contents
PART I | 1 |
CHAPTER II | 17 |
PART II | 34 |
SPACE AND GEOMETRY | 51 |
CHAPTER V | 72 |
PART III | 79 |
FORCE | 89 |
CHAPTER VII | 111 |
CHAPTER VIII | 123 |
PART IV | 140 |
THE THEORIES OF MODERN PHYSICS | 160 |
CHAPTER XI | 183 |
CHAPTER XII | 211 |
CHAPTER XIII | 225 |
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Common terms and phrases
absolute acceleration admit aggregate Ampère analogous analytical applied axioms calculus of probabilities called Classic closed current co-ordinates concept conservation of energy constant continuous function contradiction convention deduced define definition depend differential equations dimensions displaced distances electricity electro-dynamical enunciation equal ether Euclid's postulate Euclidean Euclidean geometry Euclidean group experiment experimental explain external fact force function fundamental plane Gauss's law generalised geometrical space Hertz hypothesis ideas impossible induction infinite number instance intuition J. P. Den Hartog kinetic large number laws of Kepler least action Lobatschewsky's magnetic mass mathematicians matter Maxwell's measure mechanical explanation ment mind minor planets molecules movable movements muscular sensations nature non-Euclidean non-Euclidean geometry object observations open current optics ourselves parameters q phenomena physicist plane position possible principle of relative priori problems properties reason relations rôle simple simplicity straight line suppose syllogisms theorem theory tion true velocities verified wire