Leonard Peikoff presents Ayn Rand’s view of logic, which she defined as “the art of non-contradictory identification.” Peikoff explores the implications for logic of the fact that knowledge is contextual and hierarchical. He also discusses what it means to be logical and how logic is the method of achieving objectivity. Peikoff argues that being logical requires integrating each item of one’s knowledge with every other, as well as reducing each item of knowledge by tracing it down the hierarchy of knowledge back to the data of sense perception. He concludes with a discussion of what is distinctive about Rand’s conception of logic and objectivity.