Ramsey Theory



Party Puzzel presented Ramsey theory intuitively. Quite briefly, Ramsey theory states that any large enough structure will necessarily contain an orderly substructure. In 1928 Frank Plumpton Ramsey, an English mathematician, philosopher and economist, proved that certain patterns are implicit in any large structure, whether it is a group of stars, an array of pebbles or a series of numbers generated by throw of die. Every large set of numbers, points or objects necessarily contains a highly regular pattern. Given enough stars, for instance, one can always find a group that very nearly forms a particular pattern: a straight line, a rectangle, a big dipper or more fantastic structures such as a dragon.