The nuclear age has ushered in a novel period of history, as distinct from the age that preceded it as the modern age has been from the Middle Ages or the Middle Ages have been from antiquity. Yet while our conditions of life have drastically changed under the impact of the nuclear age, we still live in our thoughts and act through our institutions in an age that has passed. There exists, then, a gap between what we think about our social, political, and philosophic problems and the objective conditions which the nuclear age has created. This contradiction between our modes of thought and action, belonging to an age that has passed, and the objective conditions of our existence has engendered four paradoxes in our nuclear strategy: the commitment to the use of force, nuclear or otherwise, paralyzed by the fear of having to use it; the search for a nuclear strategy which would avoid the predictable consequences of nuclear war; the pursuit of a nuclear armaments race joined with attempts to stop it; the pursuit of an alliance policy which the availability of nuclear weapons has rendered obsolete. All these paradoxes result from the contrast between traditional attitudes and the possibility of nuclear war and from the fruitless attempts to reconcile the two.