Ramsey Theory is a branch of mathematics that studies conditions under which a certain order must appear within a structure. It focuses on finding patterns or regularities in large sets or graphs, even when the elements are arranged in a seemingly random way. The central idea is that in any sufficiently large system, some form of order will inevitably emerge. One of the key concepts in Ramsey Theory is the idea of coloring edges of a graph. For example, if you color the edges of a complete graph with two colors, Ramsey's theorem states that there will always be a monochromatic complete subgraph of a certain size. This illustrates how order can arise from chaos in mathematical structures.