# Ramsey theory

Can we always find order in systems that are disordered? If so, just how large does a system have to be to contain a certain amount of order? |
Suppose you have an infinitely large sheet of paper (mathematicians refer to this hypothetical object as the plane). You also have a number of different colours - pots of paint, perhaps. Your aim is to colour every point on the plane using the colours available. That is, each point must be assigned one colour. |

Sometimes a mathematical object can be so big that, however disorderly we make the object, areas of order are bound to emerge.
Imre Leader looks at the colourful world of Ramsey Theory. |