3:20 God having named the man, and called him Adam, which signifies red earth, he in farther token of dominion named the woman, and called her Eve - That is, life. Adam bears the name of the dying body, Eve of the living soul. The reason of the name is here given, some think by Moses the historian, others by Adam himself, because she was - That is, was to be the mother of all living. He had called her Isha, woman, before, as a wife; here he calls her Evah, life, as a mother. Now,
1. If this was done by divine direction, it was an instance of God's favour, and, like the new naming of Abraham and Sarah, it was a seal of the covenant, and an assurance to them, that notwithstanding their sin, he had not reversed that blessing wherewith he had blessed them, Be fruitful and multiply: it was likewise a confirmation of the promise now made, that the seed of the woman, of this woman, should break the serpent's head.
2. If Adam did of himself, it was an instance of his faith in the word of God.
3:20,21 God named the man, and called him Adam, which signifies red earth; Adam named the woman, and called her Eve, that is, life. Adam bears the name of the dying body, Eve of the living soul. Adam probably had regard to the blessing of a Redeemer, the promised Seed, in calling his wife Eve, or life; for He should be the life of all believers, and in Him all the families of the earth should be blessed. See also God's care for our first parents, notwithstanding their sin. Clothes came in with sin. Little reason have we to be proud of our clothes, which are but the badges of our shame. When God made clothes for our first parents, he made them warm and strong, but coarse and very plain; not robes of scarlet, but coats of skin. Let those that are meanly clad, learn from hence not to complain. Having food and a covering, let them be content; they are as well off as Adam and Eve. And let those that are finely clad, learn not to make the putting on of apparel their adorning. The beasts, from whose skins they were clothed, it is supposed were slain, not for man's food, but for sacrifice, to typify Christ, the great Sacrifice. Adam and Eve made for themselves aprons of fig-leaves, a covering too narrow for them to wrap themselves in, Isa 28:20. Such are all the rags of our own righteousness. But God made them coats of skin, large, strong, durable, and fit for them: such is the righteousness of Christ; therefore put ye on the Lord Jesus Christ.
