## Articles

**Gregory Chaitin**explains why he thinks that Gödel's incompleteness theorem is only the tip of the iceberg, and why mathematics is far too complex ever to be described by a single theory.

**Yutaka Nishiyama**illuminates the connection between light bulbs, logic and binary arithmetic.

**Paul Davies**has made an unusual move into the infant discipline of astrobiology. He tells

*Plus*about his interest in the big questions: what is life, how would we recognise aliens - and are they all around us?

**Tope Omitola**looks back at the tragically short but inspiringly productive life of a true original: Evariste Galois.

**Jeffrey Rosenthal**follows Galileo's observation that the entire universe is written in the language of mathematics - and that includes music.

**Lewis Dartnell**, it could be that the mathematical phenomenon of chaos is a crucial part of what makes our brains work.

**Claire Ellis**tells us about their heroic efforts, which historians believe shortened the war by two years.