In recent years, many resourceful thinkers have brought a new clarity to the issues surrounding the doctrine of the Trinity. Two incompatible families of Trinitarian doctrine have been clearly distinguished: Social Trinitarianism and Latin Trinitarianism. I argue here that no theory in either camp has yet evaded the triune pitfalls of inconsistency, unintelligibility, and poor fit with the Bible. These two main approaches appear to be hopeless, and I argue that appeals to ‘mystery’ are no way to avoid the difficulties at hand. Thus, the Trinitarian project is as yet unfinished.