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Jigsaw puzzle

Gödel and the limits of logic

When Kurt Gödel published his incompleteness theorem in 1931, the mathematical community was stunned: using maths he had proved that there are limits to what maths can prove. This put an end to the hope that all of maths could one day be unified in one elegant theory and had very real implications for computer science. John W Dawson describes Gödel's brilliant work and troubled life.

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earth shown from space

The right spin: how to fly a broken space craft

On the 25th of May 1997 a dramatic collision tore a hole into the space station Mir and sent it hurtling through space. As NASA astronaut Michael Foale tells Plus, the fate of Mir and its crew hinged on a classical set of equations.

Article

Graphical Methods II: The return of the slime

In last issue's Graphical methods I Phil Wilson used maths to predict the outcome of a cold war in slug world. In this self-contained article he looks at slug world after the disaster: with only a few survivors and all infra-structure destroyed, which species will take root and how will they develop? Graphs can tell it all.
News story

Chaos is not a desk toy

Physicists create a quantum Newton's cradle - and witness an absence of chaos for the first time.
News story
Carleson

Abel to iPod

The 2006 Abel prize celebrates the mathematician who helped make mp3s possible.