Einstein’s brilliance – let us call it genius – was to take Maxwell’s equations at face value and insist that when we hop between inertial frames of reference we keep the speed of light the same. We are not allowed to add velocities in the way that we have been doing; it is simply wrong. The Galilean Transformations are wrong, and therefore Newton’s laws, which possess the symmetry represented by the Galilean Transformations, are also wrong.
