Explore the profound insights of W. Brian Arthur in this thought-provoking Santa Fe Institute podcast episode on the limitations of algebraic theory in economics and the potential of algorithmic approaches. Delve into the contrast between "prim dreams of order" and "messy vitality" across economics, mathematics, and physics. Discover how verbs and algorithms can better capture the uncertain, open, and evolving nature of innovation and exchange. Journey through diverse scientific methodologies, from the I Ching to AlphaGo, and examine the power of forgotten mathematics to address inadequate axioms. Gain a deeper understanding of process philosophy, information processing, and the shifting landscape of science as Arthur discusses the potential of algorithmic mathematics and computational economics to revolutionize our approach to complex systems.