8 Those who examine this matter not in a disputatious but in a calm believing spirit are invited to come to Jesus, not outwardly but in heart, not in bodily presence but in the power of faith, as the centurion did, and then they will better understand Matthew's narrative. To such it is said in the Psalm "Come unto Him, and be enlightened; and your faces shall not be ashamed." Hence we learn that the centurion, whose faith was so highly spoken of, came to Christ more truly than the people who carried his message.
We find an analogous case in the woman with the issue of blood, who was healed by touching the hem of Christ's garment, when Christ said, "Some one has touched me." The disciples wondered what Christ meant by saying, "Who has touched me?" "Some one has touched me," when the crowd was thronging Him. In fact, they made this reply: "The crowd throngs You, and sayest Thou, Who has touched me?" Now, as the people thronged Christ while the woman touched Him, so the messengers were sent to Christ, but the centurion really came to Him.
In Matthew we have a not infrequent form of expression, and at the same time a symbolic import; while in Luke there is a simple narrative of the whole event, such as to draw our attention to the manner in which Matthew has recorded it. I wish one of those people who found their silly objections to the Gospels on such trifling difficulties would himself tell a story twice over, honestly giving a true account of what happened, and that his words were written down and read over to him.
We should then see whether he would not say more or less at one time than at another; and whether the order would not be changed, not only of words, but of things; and whether he would not put some opinion of his own into the mouth of another, because, though he never heard him say it, he knew it perfectly well to be in his mind; and whether he would not sometimes put in a few words what he had before related at length. In these and other ways, which might perhaps be reduced to rule, the narratives of the same thing by two persons, or two narratives by the same person, might differ in many things without being opposed, might be unlike without being contradictory.
Thus are undone all the bandages with which poor Manichæans stifle themselves to keep in the spirit of error, and to keep out all that might lead to their salvation.
Source: Reply to Faustus the Manichaean (New Advent)