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absolute space acceleration appear argument Aristotle axioms becomes body branch systems C. D. Broad co-ordinates congruence geometries consider copula curvature definition determine direction distance duration earth Einstein's entropy equations Euclidean geometry Euclidean space event-particles example exist experience expression extension fact finite follows force four-dimensional frame of reference future given happen idea infinite number instants intuition J. J. C. Smart laws length light logical Lorentz Lorentz contraction Mach's Mach's principle mathematical matter means measure mechanics motion moving nature Newton Newtonian non-Euclidean geometry observer particles passing past Philosophy Philosophy of Space Phys physical plane position possible postulates present principle priori problem properties proposition question regard Reichenbach rela relation respect rest rotation sense space-time spatial speak special relativity special theory statement straight line suppose surface temporal tense theorems theory of relativity things tion true truth universe utterance vector velocity world-line