Antinomianism is the belief that God’s grace is without connection to works. It is an act of God and that is that! While this is partly true, it is partly false. God does care how we treat each other. God is not lawless.
Arminianism in short is that good works are deeply tied into our salvation. While this is partly true, the experience of grace is that God loves us while we are yet enemies. God loves us in spite of our failures.
Put them together, and paradoxical and opposite as they might seem, we have the path of faith and faithfulness.
We do not need to study historical theology. But we do need to have both faith and faithfulness, in order to make progress along the way of Christ.
Perhaps we could think of it as Sodium, and Chloride, both poisonous alone. But together they make salt.