Ramsey-type theorems

Ramsey-type theorems are principles in mathematics that explore how order and structure necessarily emerge in large or complex systems. They state that within any sufficiently large or intricate network, certain organized patterns or substructures are unavoidable, no matter how the system is arranged. For example, in a large enough group of people, you'll always find a subset where everyone knows each other or no one knows each other. These theorems highlight the inevitable appearance of order amid apparent randomness, emphasizing that complexity still contains predictable and consistent patterns as systems grow.