After exploring the relationship between faith and love Badiou looks at Paul's concept of hope. He first frames a classic notion as hope in the Final Judgment and then says,
Against this classic judicial eschatology, Paul seems instead to characterize hope as a simple imperative of continuation, a principle if tenacity of obstinacy. In Thessalonians I, faith is compared to a striving, and love to grueling work, to the laborious, the troublesome. Hope, for its part, pertains to endurance, to perseverance, to patience; it is the subjectivity proper to the continuation of the subjective process.
And so Badiou claims for hope a subjective victory that cannot accept an objective doctrine of judgment and division of the 'evildoers' for this would dislodge the universal affirmation of love. "The One is inaccessible without the 'for all'." Hope is that which sustains the present work within this universality and so is no longer future orientated but is a present reality which "does not disappoint." (Rom 5:2)