This article reenvisions fallacies for composition classrooms by situating them within rhetorical practices. Fallacies are not formal errors in logic but rather persuasive failures in rhetoric. I argue fallacies are directly linked to successful rhetorical strategies and pose the visual organizer of the Venn diagram to demonstrate that claims can achieve both success and failure based on audience and context. For example, strong analogy overlaps false analogy and useful appeal to pathos overlaps manipulative emotional appeal. To advance this argument, I examine recent changes in fallacies theory, critique a-rhetorical textbook approaches, contextualize fallacies within the history and theory of rhetoric, and describe a methodology for rhetorically reclaiming these terms.