Ramsey theory

Etymology
Named after British mathematician and philosopher.

Noun

 * 1)  A branch of mathematics which deals with patterns that inevitably arise in sufficiently large sets (i.e., subsets of some structure).
 * 2) * 1999, Randall McCutcheon, Elemental Methods in Ergodic Ramsey Theory, Springer, Lecture Notes in Mathematics: 1722, page 8,
 * We are now ready to offer a loose definition of Ramsey theory.
 * Ramsey theory is a collection of results which, given a finite coloring of some structure, guarantee the existence of certain monochromatic configurations or substructures.
 * Ramsey theory is a collection of results which, given a finite coloring of some structure, guarantee the existence of certain monochromatic configurations or substructures.