Complexity science studies systems where collective behaviors—or emergence—arise from the nonlinear interactions of simpler parts, making the whole fundamentally greater than the sum of its parts. Historically, science relied heavily on reductionism (explaining systems purely by their smallest components). However, emergent phenomena—ranging from consciousness and bird flocks to economic markets—cannot be fully understood by examining isolated parts.

The concept of emergence is generally categorized into two main types:

• Weak Emergence: Macroscopic patterns are unexpected but can still be deduced or simulated from microscopic rules. Classic examples include the formation of traffic jams, the complex patterns in Conway's Game of Life, and the flocking behavior of birds (which can be simulated using simple "Boids" algorithms mapping ...