The function of the office of the satan is why later Jewish writings began to adopt it as a proper name for the serpent figure from Genesis 3 who brought ruin to Eden. That figure opposed God’s choices for his human imagers. The dark figure of Genesis 3 was eventually thought of as the “mother of all adversaries,” and so the label satan got stuck to him. He deserves it. The point here is only that the Old Testament doesn’t use that term for the divine criminal of Eden.

