This contribution explores correctives to several errors that Thomas Nagel (2005) and others presuppose in defending scepticism about global justice. Depending upon conventions of reconciliation and arbitration that survive in West Africa, to define global justice as a work in progress—not a fixed univocal formula, but an on-going collaborative effort, a project in perpetual renovation and inter-cultural reconsideration, by successive generations which presupposes a diversity of values and ways of sanctifying human life.