This chapter considers the importance of Arendt and Weil's interpretations of the Homeric world, and of The Iliad in particular. This is the case because it is a question to which they both return on a number of occasions, as if the return itself were decisive for the formulation of their own categories. But, above all, it is the case because their interpretations uncover the phenomenon of “concordant dissonance” or of “dissonant concordance.” Homer also evokes another word, which binds them in an affirmative sense. This is the question of the justice, impartiality, or equity of the poet who unites both victors and vanquished in light of the dignity of two adversarial peoples.