Philosophie Der Raum-Zeit-LehreAn important landmark in the developmant of the empiricist conception of geometry, this book is still one of the clearest and most valuable expositions of the crisis in physical science and mathematics occasioned by the advent of the non-Euclidean geometries. With unusual depth and clarity, it covers the problem of the foundations of geometry, the theory of time, the theory and consequences of Einstein's relativity including: relations between theory and observations, coordinate definitions, relations between topological and metrical properties of space, the psychological problem of the possibility of a visual intuition of non-Euclidean structures, and many other important topics in modern science and philosophy. |
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according action by contact analysis arbitrary assertion assumption axioms causal chain characterized circle classical theory clocks concept connection coordinate system coordinative definition corresponds curvature curved defined definition of congruence definition of simultaneity determined differential dimensional dimensions direction distance empirical epistemological equal equations equivalent Euclidean geometry Euclidean space exists experience expression fact finite formulation four-dimensional genidentity given gravitational field inertial system interpretation intersect interval laws length light rays light-geometry logical Lorentz transformation mass points mathematical means measuring instruments measuring rods mechanics method motion moving segment non-Euclidean geometry objects observer parallel perceptions philosophical physical space plane possible principle problem properties question relations relativistic relativity of simultaneity representation rest-length result rigid bodies rigid rods rotation satisfied shell signal spatial special theory sphere statement straight line structure surface tensor theorem theory of relativity theory of space three-dimensional three-dimensional space topological torus universal forces velocity of light world-line