The Paradox of Infinity

The way in which we understand the world and philosophers conceptualize the world can actually raise these big, deep contradictions. In mathematicians, I inclined to say we've solved all this now because infinite series do converge to a number. But some philosophers would insist on saying there's a problem in our representation what's going on. So could you give another example of a paradox? Well no, the sheriff wasn't dead at that point. He cries on living for a few more days.