Rescher defines an apory as a group of individually plausible but collectively incompatible theses. Citing thinkers from the pre-Socratics through Spinoza, Hegel, and Nicolai Hartmann, he builds a framework for coping with the complexities of divergent theses, and shows in detail how aporetic analysis can be applied to a variety of fields including philosophy, mathematics, linguistics, logic, and intellectual history.