## News from the world of Maths

Are there more irrational numbers than rational numbers, or more rational numbers than irrational numbers? Well, there are infinitely many of both, so the question doesn't make sense. It turns out, however, that the set of rational numbers is infinite in a very different way from the set of irrational numbers.

Cosmologists celebrated with champagne and cake today, in honour of Stephen Hawking's new Chair in Cosmology.

With spring (hopefully) on its way, it looks increasingly less likely that we will be blessed with the cold, white, fluffy stuff this year. But if the winter Olympics leave you yearning for snow and ice, here are some related maths stories for you.

What do you get when you add up all the natural numbers 1+2+3+4+ ... ? Not -1/12! We explore a strange result that has been making the rounds recently.

A mathematical model of the evolution of glaciers solves 88-year-old mystery.

There's no doubt that maths is very good at describing the world around us. Could this be because the Universe we live in is itself a mathematical structure? We talk to Max Tegmark.

The upcoming Gresham College lectures will brighten the greyest February day – from the brightest stars to finding true love, you have to give these a chance.

A new study suggests that Facebook is heading for a very rapid decline.