Science and Hypothesis
Cosimo, Inc., May 1, 2007 - 256 pages
"But it?'s not that simple, argues Henri Poincare in the preface to Science and Hypothesis, his exposition on hypothesis and its place in the physical sciences. To doubt everything or to believe everything are two equally convenient solutions; both dispense with the necessity of reflection. And so, in the interests of reflection, Poincare divides his treatise into four sections ( Number and Magnitude, Space, Force, and Nature ) and rigorously examines the development of: mathematical reasoning non-Euclidean geometries the classical mechanics relative and absolute motion energy and thermodynamics the calculus of probabilities optics and electricity electrodynamics and much more.Written as a series of nontechnical essays, Science and Hypothesis will especially be of interest to students of the history and philosophy of science.French theoretical physicist, philosopher of science, and mathematician HENRI POINCARE (1854 1912) also wrote New Methods of Celestial Mechanics (1892 99) and Lessons of Celestial Mechanics. (1905 10)."
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absolute acceleration admit aggregate Ampere analogous analytical applied axioms calculate calculus of probabilities called closed current co-ordinates conservation of energy constant continuous function contradiction convention deduced define definition depend dimensions displaced electricity electro-dynamical element of current enunciation equal error ether Euclid's postulate Euclidean Euclidean geometry Euclidean group experiment experimental explain external fact function fundamental plane Gauss's law generalised geometrical space Hertz hypothesis idea inertia infinite number initial instance kinetic large number laws of Kepler least action Lobatschewsky's mass mathematical continuum matter mean value measure mechanical explanation ments mind minor planets molecules movable movements muscular sensations nature non-Euclidean non-Euclidean geometry object observations open current ordinary geometry ourselves parameters q phenomena physicist planets position possible principle of least principle of relative priori properties reason relations relative motion Riemann simple simplicity straight line suppose syllogisms theorem theory tion true velocities verified vis viva wire