John Chrysostom
Peter did not appoint them himself, but all did. He supplied the opinion, while showing that even it did not belong to him, but had long ago been announced in prophecy.
Thus he was only an interpreter, not a master. "Joseph called Barsabbas, who was surnamed Justus."
The writer gives both names, perhaps because Joseph had namesakes, just as there were many namesakes among the apostles. For example, there were James the son of Zebedee and James the son of Alphaeus, Simon Peter and Simon the Zealot, Judas the son of James and Judas Iscariot.
On the other hand, this name may have been given to him because of a change in life, or perhaps at his own desire.
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"And they put forward," the writer says, "two." Why not more? So as not to increase their despondency, and not to extend this matter to many.
Nor does he place Matthias after Joseph without reason. By this he shows that one who enjoys honor among men is often lesser before God.