This paper is a revision of the Presidential Address delivered to the 66th Annual Meeting of the American Political Science Association, Los Angeles, California, September 10, 1970. It identifies nine aspects of political theories: storage and retrieval of memories; assistance to insight; simplification of knowledge; heuristic effectiveness; self-critical cognition; normative awareness of values; scientifically testable knowledge; pragmatic skills; and wisdom, or second-order knowledge of what contexts are worth choosing—a wisdom subject to the possibility of radical restructuring. These nine aspects of theory form an integrated production cycle of knowledge. “Scientific” and “humanistic” political theorists need each other to understand the central task of politics: the collective self-determination of societies. To appraise this steering performance of political systems, large amounts of empirical data as indicators of social performance are indispensable. Political science has grown in knowledge of cases, data, research methods, and sensitivity to problems of disadvantaged groups and of the individual. It is learning to recognize qualities and patterns, verify the limited truth content of theories, and be more critical of its societies and of itself. It needs to increase research on implementation of insights, on positive proposals for reform, changes in political wisdom, and on the abolition of poverty and large-scale war. For these tasks, cognitive contributions from political theory are indispensable; working to make them remains a moral commitment.