A very strong player can manage and can just know how to manage a thousand positions. I get it; it's a very arbitrary number. So then you have the world champion who could do more. But, again, any increase in numbers creates, sort of, a new level of playing. And then you go to the very top, and the difference is so minimal, but it does exist. So even a few players who never became world champion, like Vassily Ivanchuk, for instance, I think they belong to the same category.

Many people think they are too refined, or too rational, to entertain a real sense of wonder in themselves or in others. This is preposterous to me, since the natural world is full of endless wonders, both on Earth and especially in space, no matter how you think it was created.

There is no democracy in Russia. Dictators do not go away through the vote. Putin relies on riot police, thousands of them, with heavy equipment, fighting Russian youngsters from opposition.

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.

Few things are as psychologically brutal as chess.

Chess - it's a nonmainstream game. And the irony is that when you look at Hollywood, it kept using chess as the symbol of intelligence for its heroes, for its top characters, all the time. So it's from "Casablanca" to "Harry Potter." You always have chess as a very important element to demonstrate intelligence, while in normal life people think it's just a weird intelligence - like AI.

Russia's inclination toward authoritarianism undoubtedly strengthened the leaders in Azerbaijan, Armenia, and Kazakhstan, as they are afraid of normal democratic procedures.