Paradoxes are not contradictions. Contradiction is the hallmark of untruth. On the other hand, paradoxes reveal brilliant, dazzling, breath taking mystery.
On the Ligonier website I read the following:
“… the law of noncontradiction states that “A cannot be both A and non-A at the same time and in the same relationship.” The qualifiers “same time” and “same relationship” are very important. Some attempt to deny the law of noncontradiction by giving examples from the natural world that seem to render the law invalid. One example of this might be water. Water can be both a liquid and a gas and so therefore, the law of noncontradiction must not be true. However, the qualifier “same time,” makes this an inaccurate assumption. A molecule of water can be both a liquid and a gas, but that molecule is never both a liquid and a gas at the same time.
The qualifier “same relationship” is also very important. We see a good example of this in Christian theology. Many people mistakenly believe that when we confess the doctrine of the Trinity, we confess a contradiction. The doctrine of the Trinity, as traditionally formulated, states that God is one in essence and three in person. But this is not a contradiction because the way (or relationship) in which God is one is not the same as the way in which He is three. God is one in essence but three in person. If we said God was one in essence and three in essence, we would have a contradiction in the very being of God and would thus have to reject this teaching.
The doctrine of the Trinity is not a contradiction. Rather, it is a mystery, a paradox of sorts, something that appears at first glance to be contradiction, but when explored further really is not. The Christian faith has many paradoxes, but no contradictions.
The law of noncontradiction is presupposed in everything we do. If it were not true, all of the words on this page could have an infinite number of contradictory meanings and intelligible discourse would be impossible. The law of noncontradiction is not foreign to Christianity but is a tool to be eagerly embraced for faith and life.
Coram Deo – All drivers obey the law of noncontradiction. No one pulls out into the path of a speeding eighteen-wheeler thinking that the truck is both going to hit them and not hit them at the same time. When someone claims that contradiction and truth are compatible, show them that they obey the law of noncontradiction everyday without thinking about it.
With this in mind, John Piper mentions some paradoxes that stir my heart to worship.
God rules the world of bliss and suffering and sin, right down to the roll of the dice, and the fall of a bird, and the driving of the nail into the hand of his Son; yet, even though he wills that such sin and suffering be, he does not sin, but is perfectly holy.
God governs all the steps of all people, both good and bad, at all times and in all places; yet such that all are accountable before him and will bear the just consequences of his wrath if they do not believe in Christ.
All people are dead in their trespasses and sins, and are not morally able to come to Christ because of their rebellion; yet, they are responsible to come, and will be justly punished if they don’t.
Jesus Christ is one person with two natures, divine and human, such that he upheld the world by the word of his power while living in his mother’s womb.
Sin, though committed by a finite person and in the confines of finite time is nevertheless deserving of an infinitely long punishment because it is a sin against an infinitely worthy God.
The death of the one God-Man, Jesus Christ, so displayed and glorified the righteousness of God that God is not unrighteous to declare righteous ungodly people who simply believe in Christ.