I would say, you have a unique chance of learning more about the game of chess with your computer than Bobby Fischer, or even myself, could manage throughout our entire lives. What is very important is that you will use this power productively and you will not be hijacked by the computer screen. Always keep your personality intact.

For us to make sure that we have full lives, meaningful lives, we will have to elevate our unique human qualities. And I think we know now, we can see clearly what makes us different from machines. And that's why the future is enhanced humanity.

We have again a strange gap. We have the big scientific discoveries around the second, third century BC. Then we have an invention of the so-called Arab system, the positional system of counting with zero dated to the eighth or ninth century.

We have a saying that a stranger's soul is like a black box. Which is why I would not want to analyze [Vladimir] Putin's psychological motivations.

His teaching became a turning point in chess history: it was from Steinitz that the era of modern chess began. The contribution of the first world champion to its development is comparable with the great scientific discoveries of the 19th century.

Though I would have liked my chances in a rematch in 1998 if I were better prepared, it was clear then that computer superiority over humans in chess had always been just a matter of time.

Sometimes the hardest thing to do in a pressure situation is to allow the tension to persist. The temptation is to make a decision, any decision, even if it is an inferior choice.