Physics is all about observation. But how much can we actually see with the naked eye?

The limits to what we can observe are not only a matter of science, but also of politics and economics.

Observing the smallest building blocks of matter doesn't involve seeing in the ordinary sense.

If you can prove that a statement can't possibly be false, does this mean it's true?

There are limits to how much you can simultaneously squeeze the quantum fuzziness of an electron's position and momentum

We take the real numbers for granted, but what are they really?

Resonant electromagnetic waves, created by lightning flashes, circle the Earth. Wim Hordijk explores the maths and shows how you can keep track with these phenomena.

A game involving biscuits and maths — what could be better?

Take a quick trip to the foundations of probability theory.

Need to find the least common multiple or greatest common divisor of two numbers? A billiard table of the right proportions holds the answers!

Randomness is surprisingly hard to define. Fortunately the mathematical language we use to describe it is beautifully well defined.