You are correct in the distinction of the three beings.  But there is some history you are missing. In the Garden of Eden, He who was called "God" and "the LORD God" was indeed the Father.  But He warned Adam that in the day that he should eat of the fruit that he would die.  This was true on two levels. 1) Within that one Godly day (1000 years) Adam did die a physical death. 2) At that time of transgression, Adam (and all mankind) lost the ability to socialize (for lack of a better