With this mistake I deprived myself of the possibility to make a contribution to the treasury of chess art.

The loss of my childhood was the price for becoming the youngest world champion in history. When you have to fight every day from a young age, your soul can be contaminated. I lost my childhood. I never really had it. Today I have to be careful not to become cruel, because I became a soldier too early.

Setbacks and losses are both inevitable and essential if you're going to improve and become a good, even great, competitor. The art is in avoiding catastrophic losses in the key battles.

Chess is a unique battlefield for human minds and computers - human intuition, our creativity, fantasy, our logic, versus the brute force of calculation and a very small portion of accumulated knowledge infused by other human beings. So in chess we can compare these two incompatible things and probably make projections into our future. Is there danger that the human mind will be overshadowed by the power of computers, or we can still survive?

One of my optimistic prophecies is based on the assumption that machines could have the best algorithms in the universe, but it will never have purpose. And the problem for us to explain purpose to a machine is because we don't know what our purpose is. We have the purpose, but we still ... When we look at this global picture, a universal picture, to understand what is our purpose being here on this planet? We don't know.

There is no doubt that [Vladimir] Putin is responsible for this crime, whether or not he gave the order to commit the murder [of Boris Nemtsov] himself. Putin created the conditions and atmosphere that have made this kind of thing possible.

I'm not saying that George W. Bush did everything right. But even if you take a skeptical view of his Iraq war, [Barack] Obama made the more serious error of withdrawing his troops from Iraq early.