Adam named his wife Eve because she was "the mother of all living."
According to the Bible, Adam and Eve were the first human beings that God created. They lived in the Garden of Eden and had a close relationship with God. However, when they disobeyed God and ate the forbidden fruit from the tree of knowledge of good and evil, they became aware of their nakedness and were banished from the garden.
After their expulsion, Adam and Eve had children and became the first parents of the human race. Eve was the first woman and the mother of all living human beings. Adam named her Eve, which means "life-giver" or "mother of all living," because she was the source of all human life that would come after her.
Therefore, the answer is "the mother of all living."