Stephen Wolfram explains the science of ruliology--studying what abstract rules do--and integral applications of the science in his own work.

Stephen Wolfram, a renowned computer scientist and the creator of Mathematica and Wolfram|Alpha, shares his thoughts, research findings, and explorations into computational science, artificial intelligence, and the future of technology on his blog. With a deep understanding of mathematics, computation, and physics, Wolfram offers unique perspectives on topics ranging from computational thinking and algorithmic discovery to the philosophy of science and the impact of technology on society. Developers and researchers can gain insights from Wolfram's interdisciplinary approach to solving complex problems and pushing the boundaries of computation.

Stephen Wolfram Writings

Ruliology is a new science focused on studying what abstract computational rules do when executed. It involves running simple programs from the computational universe to observe their behavior, rather than constructing programs for specific purposes. The field deals with cellular automata, Turing machines, and substitution systems, exploring how complexity emerges from minimal foundations. Unlike mathematics, ruliology emphasizes seeing what rules do through computation rather than formal proofs. The Principle of Computational Equivalence guides the field, and the Wolfram Language provides ideal tooling for ruliological exploration and presentation.

What Is Ruliology?