A survery is presented of current research in the theory of gravitational radiation. Ironically, theoretical work on gravitational radiation first appears in the electromagnetic (vector) theories of gravitation - where it has since been forgotten. This is in part due to an over enchantment with the more general tensor theory of radiation, although such enchantment is warranted in the sense that it may be the proper solution to the problems in radiation theory. Special care is taken to stay away from the metaphysics of gravitation theory and to stick with the mathematical structure of gravitational radiation. Furthermore, the radiation problem is treated in a fashion entirely divorced from other problems in gravitation. The development proceeds candidly through three points of view -- scalar, vector, and tensor radiation theory - and the corresponding results are stated.