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Dreaming the dream

Why cosmologists worry about isolated brains that randomly fluctuate into existence.
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What is information?

Books, brains, computers — information comes in many guises. But what exactly is information?
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Problems of gravity

Why (some) physicists want to modify Einstein's general theory of relativity.
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Play to win with Nim

In the game of Nim one player always has a winning strategy — it depends on an unusual way of adding numbers.
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The art gallery problem

Sometimes a piece of maths can be so neat and elegant, it makes you want to shout "eureka!" even if you haven't produced it yourself. One of our favourite examples is the art gallery problem.

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Playing billiards on doughnuts

The paths of billiard balls on a table can be long and complicated. To understand them mathematicians use a beautiful trick, turning tables into surfaces.
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Billiards

Chaos on the billiard table

If you thought that billiards was a harmless game to play in the pub, think again. It's a breeding ground for chaos!