A Study in Mathematics: The New Emerging Calculus of Life

The paper To Wake a Stone with Six Birds introduces “emergence calculus,” a framework claiming that six primitive mathematical operations can generate life-like behavior from inert systems. In controlled simulations, random particles self-organize, stabilize, and self-repair, while neural networks develop basic symbolic structures without training loops. The Six Birds theory challenges assumptions about intelligence, AI scale, and Neo-Darwinian evolution.