How Much Will A.I. Surprise Us?

When we think about Artificial Intelligence, we often consider its potential in relation to the realms of our possibility – what will it be able to do that we can do? To my mind, that is entirely missing the point of an artificial "neural" network that is infinitely more powerful than the percentage of our brains that we are able to access at any one time. What will A.I. be able to do that we can't even dream of? I'll give the simplest example that I can. Way back in the early 1980s, there was a computer game called Breakout, where a horizontal paddle (bat) could be moved at the bottom of the screen, bouncing a ball up at tiles every time.