Large set (Ramsey theory)

In the context of Ramsey theory, a "large set" typically refers to the concept of a set that is sufficiently large or infinite to allow for certain combinatorial properties to emerge. Ramsey theory is a branch of mathematics that studies conditions under which a certain structure must appear in any sufficiently large sample or arrangement. The most famous results in Ramsey theory revolve around the idea of partitioning a large set into smaller subsets.