We approach the truth from many sides. Some may appear to contradict each other - like two waves travelling in opposite directions.
The waves hit, collide, and send up a spike of water that transcends all our approximations and reaches the pinnacle of the truth.
Even if we cannot ourselves ever imagine these high truths, our approximations, our labels, our descriptions, our wrestling with the paradox, all point us towards them and enable us to grasp them just that little bit more with our minds.
Paradoxes lead us further into God's mystery.
That's why they're cool.
Unfortunately what normally happens is the second scenario - our views appear contradictory, so we kill each other. I've used pretty contradictory views but it even happens with paradoxical disputes within monotheism, and even within Christianity.
But I think it's happening less and that's positive.
