In the movies mathematicians are mostly mad. Since here at Plus we firmly believe in our sanity, we're puzzled as to why. So we charged Charlotte Mulcare with the unenviable task of sifting through five well-known maths movies and speculate towards an answer.

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What's the nature of infinity? Are all infinities the same? And what happens if you've got infinitely many infinities? In this article Richard Elwes explores how these questions brought triumph to one man and ruin to another, ventures to the limits of mathematics and finds that, with infinity, you're spoilt for choice.

Richard Elwes continues his investigation into Cantor and Cohen's work. He investigates the continuum hypothesis, the question that caused Cantor so much grief.

You meet an old friend on holiday, you find your colleague shares your birthday, you win the lottery. Exactly how rare are these rare events? David Spiegelhalter investigates in his regular column on uncertainty and risk.

When the famous diagram fails

Phil Trinh discovers how maths helps solve the mysteries of flight and love.

José-Manuel Rey revisits a scene of the film A beautiful Mind.

Neil Pieprzak tells the fascinating story of Andrew Wiles who, with intense devotion and in secret, proved a deceptively simple-looking conjecture that had defeated mathematicians for almost 400 years.

Liz Newton finds that having a small brain doesn't stop you doing great things.

Peter Macgregor explores the beautiful world of the infinite.