The philosophy of science of Imre Lakatos suggests criteria for acceptability of work in the interdisciplinary area of theology and science: proposals must contribute to scientific (or theological) research programs that lead to prediction and discovery of novel facts. Lakatos's methodology also suggests four legitimate types of theology–and–science interaction: (1) heuristic use of theology in science; (2) incorporation of a theological assertion as an auxiliary hypothesis in a scientific research program, or (3) as the central theory of a research program; (...) and (4) hybrid theology–and–science programs with empirical data. Three recent Zygon articles illustrate these four types. (shrink)