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Ramsey's theorem

Ramsey's theorem is a principle in mathematics stating that in any large enough network of connections—such as friendships or links—certain patterns are unavoidable. Specifically, if you have enough people, you'll find either a group of friends all connected to each other or a group of mutual strangers, regardless of how the relationships are arranged. The theorem emphasizes that complete disorder can't exist at high enough scales; structure or order will always emerge naturally. It highlights the idea that complexity inevitably leads to recognizable, organized patterns, even in seemingly random systems.