Why Would We Need to Be in a Fallen World to Fully Know God?

Questions about why, if Adam and Eve were in perfect community with God, we would need to be in a fallen world to fully know God, and why God cursed nature after the fall. If Adam and Eve were in perfect community with God, why would we need to be in a fallen world to fully know God, and did God create a set of circumstances that would bring about a fallen world solely to reveal his other qualities? Why did God curse nature after the fall?