Seattle Catholic,
This is a complex question you have asked, from an important chapter from the Book of Mormon. Thanks for asking the question.
The connotation of the words “God willed” does not really reflect the LDS belief as others might use those words, since God’s will is always completely righteous and God would not punish someone for accomplishing His will. I look at the passage in 2 Nephi 2 as conveying the meaning that Adam chose to transgress the commandment given to him and Eve as noted in Genesis 3:3, after the serpent tempted Eve and she ate the forbidden fruit. Eve chose to transgress because she wanted wisdom which was not available to her without eating the forbidden fruit. Adam chose to transgress to remain with Eve and fulfill the commandment from Genesis 1:28 “And God blessed them, and God said unto them, Be fruitful, and multiply, and replenish the earth, and subdue it:”.
Note the wording of Genesis 3:
3 But of the fruit of the tree which is in the midst of the garden, God hath said, Ye shall not eat of it, neither shall ye touch it, lest ye die.
4 And the serpent said unto the woman, Ye shall not surely die:
5 For God doth know that in the day ye eat thereof, then your eyes shall be opened, and ye shall be as gods, knowing good and evil.
6 And when the woman saw that the tree was good for food, and that it was pleasant to the eyes, and a tree to be desired to make one wise, she took of the fruit thereof, and did eat, and gave also unto her husband with her; and he did eat.
In the Garden of Eden, Adam and Eve were innocent and had no sense of joy because there was no opposition: there were no problems to overcome, no trials or challenges or difficulties to face, no real work to do since the garden was bringing forth fruit in abundance. Did they like that condition? (Not necessarily.)
It is apparent that Eve was curious and wanted something more–she wanted wisdom. Yet, she was aware that they had been told they would die if they ate the forbidden fruit. I look at the experience as described, and read that she was willing to bring upon herself death in order to gain wisdom. I don’t look at this choice as prideful or a grievous sin, but instead as a choice of “stay innocent without any wisdom, or eat the forbidden fruit and be placed into a situation where there will be access to wisdom but where we will also die.”
Adam was willing to bring upon himself death also, because he faced the dilemma of needing to fulfill the commandment to multiply and replenish the earth and could only do that by staying with Eve when she was cast out of the garden of Eden.
It appears from the scriptures that Eve’s body was not in a condition to have children while they were in the garden of Eden. The mentrual cycle and childbirth are painful conditions. (I have no idea of the pain of childbirth, but can only imagine based on watching and having had intense pain myself a few times–we are talking serious wrenching pain for a mother in childbirth.) It appears to me that God allowed Eve to make a choice that only she was privileged to make: “Should I suffer pain and eventual death and also be cast out of the presence of God, in order to progress in wisdom and to have joy?” She would not have been aware of the joy of motherhood in the garden of Eden, but maybe she had a feeling inside of her that told her that motherhood was going to be worth the price of pain.
The phrase “doing no good, for they knew no sin” makes sense when one considers that “good” is brought about when someone makes a choice between possible choices. If there is only one possible choice, which is to do the “right thing” at every moment, then such a choice can’t really be considered “good” because there is nothing to compare it to.
There is much more to be said on this subject, especially about the redemption offered by Jesus Christ from Adam and Eve’s physical death and their spiritual death. We know that God had planned for this redemption, this gift of grace to humankind. 2 Nephi 2 explains about the atonement of Christ that is essential to understand when considering the fall of Adam and Eve and God’s plan that “men are that they might have joy.” God knew Eve’s heart well enough to know that she would probably choose to eat the forbidden fruit, so He had a plan to redeem them (and all of us) from the consequences of that choice.
I hope this has helped.