Mathematicians like to think that their field transcends politics, but as this brief history of the International Congress of Mathematicians shows, international mathematics has always been coloured by world events.

A quick introduction to transcendental numbers, a famous problem which relates to them, and how the person who solved it became a victim of political tensions.

The Nevanlinna prize winner Constantinos Daskalakis explains why equilibrium may be unattainable and why it's good to be constructive.

Harvey Friedman tells us about a mathematical movement called constructivism and why we need it.

Spider solitaire is a popular online game. But are users right in their suspicion that some programs are rigged?

How can we get a grip on the uncertainties in mathematical models?

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

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