Einstein's Special Relativity is based on two fundamental assumptions, the so-called 'Einstein postulates'. The second 'constant speed of light' postulate predicts that two inertial observers – for instance two twins in spaceships free-floating in outer space – will each see the other's clock running slower than his own. The first 'relativity' postulate says that both their perceptions are equally valid, effectively correct. The logical incoherence of this makes a nonsense of the postulates, and by exten¬sion of Special Relativity itself. The positive 1887 Michelson-Morley result confirms this experimentally, falsifying both Einstein's postulates. In spite of which, more than a century later Special Relativity is still an official scientific doctrine, and Einstein a scientific genius. The article derives the technical aspects of Relativity; and then looks at the historical, political, social and per¬sonal factors that led up to the present situation. The approach is concep¬tual and 98% non-mathematical. Companion articles look at the related topics of the aether and spacetime.