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.

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.

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