This tropological analysis of "On the Equality of the Sexes" (1790) argues that Judith Sargent Murray deployed a series of ironic reversals, including an example of Kenneth Burke's "dialectical" irony, to make her famous case for women's capacity to reason. As such, the article elucidates this trope's peculiar rhetorical potential within the context of eighteenth-century debates on female education and investigates how it can function in conjunction with romantic irony. Significantly, Murray deployed romantic irony in order to question her era's commonplace ideas about women's intellectual capacities and conventional female education. She then employed dialectical irony in order to sidestep relativism, playing off and departing from the expanded field of possibilities that romantic irony opened up. In so doing, she cast doubt upon commonly held doubts themselves, questioning the subversiveness normally associated with learned ladies. Through this series of ironic turns, readers were invited to change their previous beliefs and then presented with a clear means of moving forward-- thereby opening a path for elite European American girls to be educated in traditionally masculine domains. (Contains 96 notes.)