It is now over a century since the year 1905, in which the principle of relativity and the hypothesis of the quantum of radiation were introduced. It has taken most of that time to synthesize the two into the modern quantum theory of fields and the standard model of particle phenomena. Although there is undoubtably more to be learned both theoretically and experimentally, it seems likely that we know most of the basic principles which follow from combining the special theory of relativity with quantum mechanics.It is unlikely that a major revolution will spring from this soil. By contrast, in the 80 years that we have had the general theory of relativity, nothing comparable has been learned about the quantum theory of gravitation.The methods that were invented to quantize electrodynamics, which were so successfully generalized to build the standard model, prove wholly inadequate when applied to gravitation.The subject is riddled with paradox and contradiction. One has the distinct impression that we are thinking about the things in the wrong way. The paradigm of relativistic quantum field theory almost certainly has to be replaced.