God's Sovereignty vs. Human Responsibility

Lately, I have been thinking deeply on the subject of God's sovereignty and human responsibility. At first glance, the notion of both God's sovereignty and human responsibility seem to be a contradiction. How can God be working everything out for his glory and purposes and yet humans still have an obligation to live for the kingdom of God? However, the Bible supports the concepts of both God's sovereignty and man's responsibility. The Bible shows that God's purposes will prevail, no matter how man acts. The Bible also shows that humans will be judged according to their actions. Thus, either the Bible contains contradictions and is not the inspired, infallible Word of God or the concepts of God's sovereignty and man's responsibility are compatible. I prefer to take the latter view, that God can be in control and working out his purposes and man can be held accountable for his actions simultaneously. If one says, "Well, I can't believe in the compatibility of these two notions because I can't understand them" -that is poor logic. There are many realities in this universe that we can't understand or fully grasp that are true. For example, how can light be both a wavelength and a particle? How can water consist of individual atoms and yet be one whole substance? We know it is true, but we cannot fully comprehend how it can be true. Furthermore, we believe in the realities of gravity, magnetism, the conservation of energy, photosynthesis, nuclear fusion, the strong force, quantum physics, and a host of other scientific realities that we cannot fully understand with our finite minds. Thus, when we are faced with Biblical truths that we cannot understand, we must be consistent in the way in which we reason about things in this world. We must not throw logic and common sense out the window.