A glimpse of Cantor's paradisePeter Macgregor explores the beautiful world of the infinite.
Outer space: Venn you can't use VennWhen the famous diagram fails
Number crunching antsLiz Newton finds that having a small brain doesn't stop you doing great things.
Beyond MeasureConversations across science and art
Understanding uncertainty: The Premier League

This is the second part of our new column on risk and uncertainty. David Spiegelhalter, Winton Professor for the Public Understanding of Risk at the University of Cambridge, continues examining league tables using the Premier League as an example. Find out just how much — or how little — these simple rankings can tell you.

What do you think you're worth?Bonuses are a fact of business life. Last year the Guardian newspaper calculated that the cash rewards paid to London's financial chiefs comfortably outstripped the UK's entire transport budget. With such large sums at stake, envy is bound to raise its ugly head, nver a good thing for company morale. So how should you decide who gets how much? Steven J. Brams suggests a method that's not only fair, but also encourages honesty.
  • The league table lottery
  • Plus and presidents
Matrix: Simulating the world Part II: cellular automataLewis Dartnell turns the universe into a matrix to model traffic, forest fires and sprawling cities.
Natural selection, maths and milkAccording to Darwin, natural selection is the driving force of evolution. It's a beautifully simple idea, but given the thousands of years that are involved, nobody has ever seen it in action. So how can we tell whether or not natural selection occurs and which of our traits are a result of it? In this article Charlotte Mulcare uses milk to show how maths and stats can provide genetic answers.
Reconstructing the tree of lifeNext year is a great one for biology. Not only will we celebrate 150 years since the publication of On the origin of species, but also 200 years since the birth of its author, Charles Darwin. At the heart of Darwin's theory of evolution lies a beautifully simple mathematical object: the evolutionary tree. In this article we look at how maths is used to reconstruct and understand it.
Maths and climate change: the melting ArcticThe Arctic ice cap is melting fast and the consequences are grim. Mathematical modelling is key to predicting how much longer the ice will be around and assessing the impact of an ice free Arctic on the rest of the planet. Plus spoke to Peter Wadhams from the Polar Ocean Physics Group at the University of Cambridge to get a glimpse of the group's work.
Outer space: How to rig an electionIt's easier than you think