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Several years before Einstein published his 1905 theory of special relativity, ether theorists had essentially discovered the main relativistic effects predicted by the theory: length contraction, time dilation and the relativity of simultaneity. In this lecture I will argue that Einstein’s work was more than a novel exercise in packaging (providing a “principle” rather than “constructive” approach). It also introduced a completely unprecedented way of understanding the physical meaning of the mathematics of motion.