To make his case for the Resurrection, Paul cites both his subjective, personal experience in addition to objective, historical evidence. We should do the same. For though people have their philosophical prejudices, given the historical facts that scholars of all stripes agree upon, the Resurrection is the best historical explanation.
People change. Societies change. Things change. But the facts of what Christ did for us do not change. Christ does not change. The widely-accepted historical facts are best explained by Christ’s Resurrection. This is the firm foundation of our faith. Because of God’s love and grace, we should respond with love and faithfulness.