Chaos and the Butterfly Effect
Chaos Theory describes how certain systems are exquisitely sensitive to initial conditions — such that tiny differences in starting state compound into vastly different outcomes over time. The 'butterfly effect' (does a butterfly flapping its wings in Brazil cause a tornado in Texas?) captures this mathematically: in chaotic systems, long-range prediction is fundamentally impossible, not just practically difficult. Understanding chaos limits what forecasting can achieve and shapes how to design robust strategies.