I just found this an irresistible question to ask after having thought about it for a while, but, to all people who believe in the Christian/Catholic faith, who would you be, now, if Adam and Eve never ate the apple from the Tree of Life and disobeyed God?
First off a correction. They didn't eat of the Tree of Life, but of the Tree of Knowledge. They were kicked out of Eden before they could eat of the Tree of Life and gain immortality.
If we assume that this is a, at least somewhat, actual occurrence in history (and I will ignore those who respond with the "it's an allegory" argument for the purposes of this particular conjecture of mine) Let's start with some of the consequences.
First there is their being removed from the vicinity of the Tree of Life. The simple fact that they could have eaten of that instead of the Tree of Knowledge and that God was worried that they may become immortal (I would have to guess in this context that meant never aging instead of never dying), implies that there was a limited lifespan to begin with. Now if we assume that the ages listed in the early books are accurate, it would seem that initially man was designed to live around a millennium not a century.
Next is the curse placed upon women.
Genesis 1:16 NIV said:
To the woman he said, “I will make your pains in childbearing very severe; with painful labor you will give birth to children.”
Genesis 1:16 KJV said:
16 Unto the woman he said, I will greatly multiply thy sorrow and thy conception; in sorrow thou shalt bring forth children;...
Genesis 1:16 NLT said:
Then he said to the woman, “I will sharpen the pain of your pregnancy, and in pain you will give birth.
Now granted this can be interpreted in many ways, but I see it as the adding on of pain to a process already there, as well as increasing it's (potential) frequency (as per KJV). Thus it can be conjectured that the population would have increased beyond the original two.
The next possibility depends on whether Eden was a limited physical location on Earth, or as some believe a separate place. I am working from the premise that it was a physical location and limited in its geographical area. Eventually with the population expansion noted above we would start expanding out and exploring. As such we would eventually start developing tools and clothing. The clothing would more likely be functional in nature as opposed to addressing any modesty issues as we would not care about our nudity. Our tools would also most likely be "green" in nature (no puns intended) as we would be more considerate of our world and resources.
Finally, our tech level may not be at the current level or it may surpass it on a different track. Biotechnology would most likely be dominant if not the only type of technology. Obviously the Tree of Knowledge did not contain ALL knowledge or else Adam and Eve would have started using the wheel and levers and all kinds of ideas and technology that would be available even in such primitive surroundings. We would eventually grow in our knowledge. But we jumped up in our knowledge too soon. That concept is enclosed in much of our storytelling one example being, as I am sure Aunt Spiker would support me in, the Star Trek concept of the Prime Directive. But it is a ancient theme as seen in the Prometheus myth(or history as the case may be)
So, I'm not sure if I personally would be here, but I do believe that eventually the world would be populated and we may even develop countries and such but the whole Christ event would never have occurred, and while free will would still exist, "sin" (i.e. going against God's will) would be the exception not the rule.
