How did Paul's perspective on Christ's crucifixion differ from Peter's?
Peter preached Christ's crucifixion to show God had overcome what they accomplished and could still fulfill His covenant promises, not as a means of salvation. Paul viewed the crucifixion from a different perspective: Christ did it for us so we might have eternal life, making the crucified Christ God's power and wisdom to the called.
Les explains that Peter’s preaching was directed at Israel’s guilt: they killed Him, but God raised Him and could still be their King. Peter was not preaching crucifixion as a means of salvation; he used it to prove God had overcome their act and could still fulfill covenant promises. Paul, however, looks at the cross from a different perspective: Christ was crucified for us so we might have eternal life. To the Jews this crucified Christ is a stumbling block, to the Greeks foolishness, but to the called—both Jews and Greeks—He is the power and wisdom of God. Les ties this to believing: as at the Red Sea, God works supernaturally by faith, not by doing, giving a new divine nature.