Ramsey's Theorem
Ramsey's Theorem is a fundamental principle in combinatorial mathematics that states that in any sufficiently large group, a certain degree of order will always emerge. Specifically, it asserts that no matter how you color the edges of a complete graph with two colors, there will always be a monochromatic complete subgraph of a certain size.
This theorem highlights the inevitability of structure within chaos. For example, if you have a group of people and you connect them based on friendships (one color) and non-friendships (another color), Ramsey's Theorem guarantees that you can find a subset of people who are all friends or all non-friends, regardless of how the connections are made.