Commentaire sur La Genèse 3:20

ויקרא האדם AND THE MAN CALLED — Scripture now reverts to its previous topic (Genesis 2:20) beginning with “and the man gave names”. It broke it off (that is, interpolated the story of the serpent) only to tell you that through the giving of names Eve became his mate, as it is written (Genesis 2:20) “but for Adam there was not found a help meet for him,” and that therefore “the [Lord God] caused to fall a deep sleep upon him” and formed Eve. But because Scripture writes at the end of the story of creation of Eve (Genesis 5:25), “and they were both naked”, it therefore follows on with the passage dealing with the serpent, to inform you that because he saw her nakedness and that they displayed no feeling of shame in their actions, he desired her, and he came upon them with his evil plan and with deceit.

For she was the mother of all the living: Why did he give her a name [only] now, after the sin? And also, he should have called her חיה/Chaya? So it seems that before the sin, she was called חיה/Chaya, corresponding to the "mother of all the חי/living." But after the sin, when she had caused death for generations, her name was changed from חיה/Chaya to חוה/Chava. For חוה/Chava is formed from the term, חויא/snake. And Scripture is coming to explain why he did not call her נחש/snake explicitly: It is however because before this, she was the mother of all the living and called חיה/Chaya. So when he changed her name, it was unnecessary to change more than the yod to a vav, such that some remnant of the original name remain intact.

חוה, she is a necessary requirement for the human species to continue life on earth.