New Defender's Study Bible Notes
3:20 Eve. Eve means “life,” and her name indicates Adam’s faith in God’s promise that the “woman” would bear a Seed. Even though he realized he was going to die, Adam still believed that God would provide life. He had disobeyed God’s Word by partaking of his wife’s forbidden fruit; now he believed God’s Word centered on his wife’s fruitfulness. Since true faith is always accompanied by repentance, it is evident that Adam had turned away from Satan and back to God. No doubt Eve had done the same, desiring now to follow her husband instead of leading him.
3:20 all living. There were no children at this time, so this statement is apparently an editorial insertion by Moses, testifying that all mankind had descended from Adam and Eve. There were no “pre-Adamite” men (compare I Corinthians 15:45, speaking of “the first man Adam”), nor were there any pre-Fall children, since “in Adam all die” (I Corinthians 15:22).