The inadequacy of a mechanistic psychology such as dominates the academic scene today has long been recognized. Not by polemics, however, can relief be expected; nor will a loosely conceived humanistic psychology provide the remedy. New ideas are required which will neither abandon reason in favor of undisciplined emotion nor drive a wedge between science and life. The general direction of the effort we should be making is clear: the mathematical mode of thought, a signal feature of modern science, must be liberated from its enslavement to mechanistic principles and technological ends, and the general matrix of experience in which it is embedded must be recovered, valued, explored. I will argue that the human mind is at least dual in its tendencies, and that grave perplexities of method issue from this fact, and even more from the neglect of it.