Can a mathematical object be said to exist if you can't construct it?

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

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

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

Introducing an indispensable tool of mathematical logic.

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

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.