Science and Hypothesis: The Complete Text

Cover page\nHalftitle page\nSeries page\nTitle page\nCopyright page\nContents\nForeword\nAcknowledgments\nOriginal Sources of the Material in Science and Hypothesis\nAuthor’s Preface to the Halsted Translation\nIntroduction\nPart One Number and Magnitude\n	1 On the Nature of Mathematical Reasoning\n		I\n		II\n		III\n		IV\n		V\n		VI\n		VII\n	2 Mathematical Magnitude and Experience\n		Definition of incommensurables\n		The physical continuum\n		Creation of the mathematical continuum\n		Measurable magnitude\n		Various remarks\n		The multidimensional physical continuum\n		The multidimensional mathematical continuum\nPart Two Space\n	3 Non-Euclidian Geometries\n		Lobachevskiian geometry\n		Riemann’s geometry\n		Surfaces with a constant curvature\n		Interpretation of non-Euclidean geometries\n		Implicit axioms\n		The fourth geometry6\n		Lie’s theorem\n		Riemann’s geometries\n		Hilbert’s geometries8\n		On the nature of axioms\n	4 Space and Geometry\n		Geometrical space and representative space\n		Visual space\n		Tactile space and motor space\n		Characteristics of representative space\n		Changes of state and changes of position\n		Conditions of compensation\n		Solid bodies and geometry\n		The law of homogeneity\n		The non-Euclidean world6\n		The four-dimensional world\n		Conclusions\n	5 Experience and Geometry\n		1\n		2\n		3 Geometry and astronomy\n		4\n		5\n		6\n		7\n		SUPPLEMENT\n		8\n		Ancestral experience6\nPart Three Force\n	6 Classical Mechanics\n		The principle of inertia\n		The law of acceleration\n		Anthropomorphic mechanics\n		The “School of the Thread”\n	7 Relative and Absolute Motion\n		The principle of relative motion\n		Newton’s argument\n	8 Energy and Thermodynamics\n		Energetics\n		Thermodynamics*\n	General Conclusions for Part Th ree\nPart Four Nature\n	9 Hypotheses in Physics\n		The role of experiment and generalization\n		The unity of nature\n		The role of hypotheses\n		Origin of mathematical physics\n	10 Theories of Modern Physics\n		The meaning of physical theories\n		Physics and mechanism\n		The current state of physics\n	11 Probability Calculus\n		I: Classification of problems of probability\n		II: Probability in mathematics\n		III: Probability in the physical sciences\n		IV: Red and black\n		V: Probabilistic causation\n		VI: Theory of errors\n		VII: Conclusions\n	12 Optics and Electricity\n		Fresnel’s theory\n		Maxwell’s theory\n		The mechanical explanation of physical phenomena\n	13 Electrodynamics\n		I Ampère’s theory\n		II Helmholtz’s theory\n		III Difficulties raised by these theories\n		IV Maxwell’s theory\n		V Rowland’s experiments\n		VI Lorentz’s theory\n	14 The End of Matter*\nIndex