SAINT LUKE SAYS THAT JESUS was born in the year "when Quirinius was governor of Syria" (Luke 2:2), although it is indicated elsewhere that at the same time Herod the Great was king. Since Quirinius wasn't governor until ten years or so after Herod was dead, the two dates can't really be reconciled, although for centuries scholars eager to defend scriptural accuracy in all things have knocked themselves out trying to reconcile them.
So maybe Luke made a mistake. The inspiration of the Scriptures is no more undermined by the fact that their chronology isn't infallible than the inspiration of Shakespeare is undermined by the fact that he thought there was a seacoast in Bohemia.
Luke 2:2
-Originally published in Peculiar Treasures and later in Beyond Words