Ramsey theory
Branch of mathematical combinatorics / From Wikipedia, the free encyclopedia
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For Ramsey theory of infinite sets, see Infinitary combinatorics.
Ramsey theory, named after the British mathematician and philosopher Frank P. Ramsey, is a branch of the mathematical field of combinatorics that focuses on the appearance of order in a substructure given a structure of a known size. Problems in Ramsey theory typically ask a question of the form: "how big must some structure be to guarantee that a particular property holds?"[1]