I am not a Calvinist, nor one who believes in St. Augustine’s error. Rather, I believe we can theologically explain the transmitted nature of sin better. However, in reading a particular book, the federal headship view was mentioned (sort of). I wanted to invite consideration and thoughts:
Transgression of the covenant commandment would result in death. Adam chose the course of disobedience, corrupted himself by sin, became guilty in the sight of God, and as such subject to the sentence of death. And because he was the federal representative of the race, his disobedience affected all his descendants. In His righteous judgment God imputes the guilt of the first sin, committed by the head of the covenant, to all those that are federally related to him. And as a result they are born in a depraved and sinful condition as well, and this inherent corruption also involves guilt. This doctrine explains why only the first sin of Adam, and not his following sins nor the sins of our other forefathers, is imputed to us, and also safeguards the sinlessness of Jesus, for He was not a human person and therefore not in the covenant of works.
Is Adam our representative in that one particular sin?
I’m going to go ahead and give away my view of Adam. I think the story is representative of Israel’s choice to have a king, which is a federal representative in the ancient world. When the King chose to break the covenant, then all Israel fell. This was the original intent.
For now, I don’t have to justify this with St. Paul’s view…
….however, if I had too, I would say St. Paul sees Adam as the federal representative of the people of God made that by the covenant. Christ makes a new covenant that undoes the sin (the violation of the political treaty) of Adam and thus makes a new, unbreakable covenant.
But I could be wrong.