In the Incarnation, Jesus who is God became Man. Jesus Christ became and is now fully God and fully Man, united in one person forever. Is this an antinomy (a contradiction) or a paradox (a seeming contradiction) unresolvable by human reason?
The reason why the Incarnation seems to be a problem is because we are claiming that Jesus is both fully God and fully Man. Jesus is not 50% God and 50% Man. Jesus' nature is not a combination of divine and human elements. Rather, Jesus has a human nature, and a divine nature, and both are full natures, not partial natures. According to normal reasoning, shouldn't the addition of 1+1 = 2, and therefore 1 over 2 is 0.5 or 50%? But it seems that in the Incarnation, we are saying that 1+1 = 2 but 1 over 2 is still 1!
The problem why this conundrum exists is because we have a faulty view of who God is. If God is truly a se, which is to say He is who He is, totally other from us ontologically, then there is no equation of quality between God and Man. God and Man are not two different types of being, where on a continuum God has the most being, and Man less being. The difference between God and Man is infinitely qualitative, not infinitely quantitative.
If God is other, then there is no comparison with us ontologically. Just as an x axis has nothing to do with the y axis, so likewise the divine nature has nothing to do with the human nature. God and Man (and the Creation) are not opposites in a spectrum, but opposites in kind. So when Christ is fully God and fully Man, it is analogous to saying that x + y = (x + y). (x + y) is fully x and fully y, not half of each.
The Incarnation of our Lord Jesus Christ is therefore neither an antinomy nor a paradox unresolvable by human reason. It is only unresolvable when we we continue to think of God along Platonic categories of being, but when we alter our paradigm, the conundrum is easily resolved.