Ramsey theory
Can we always find order in systems that are disordered? Imre Leader says yes.
Meet the number that's bigger than the observable Universe!
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.
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Want facts and want them fast? Our Maths in a minute series explores key mathematical concepts in just a few words.
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In some sense, all of maths should come under the label "logic", and in this collection of articles we try to explain why.