We all instinctively recognise symmetry when we see it, but describing it in words is harder than you might think.

Our messy desk is proof of the second law of thermodynamics...

Why the expected outcome of rolling a die is 3.5.

Meet the algebra at the heart of your computer!

Claude Shannon's ingenious insight linking physical circuits with Boolean algebra paved the way for modern computing.

Opinion polls, election forecasts, testing new medical drugs — none of these would be possible without the central limit theorem.

Why too many bodies present a problem.

It would be foolish to ignore evidence. Luckily Bayes' theorem shows us how to take it in into account.

At the heart of modern physics lurks a terrible puzzle: the two main theories that describe the world we live in just won't fit together.

The powers of x can work magic.