Prim Dreams of Order vs. Messy Vitality in Economics, Math, and Physics - Part 2

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.

Introduction
Mathematicalization of Economics
Bias in Standard Mathematics
Biases in Algebra
Process Philosophy
Everything is evolving
Information Processing
Algorithmic language
Algorithms respond to context
What mathematicians love about mathematics
Algorithms creating their own context
Algorithms are better at detail
AlphaGo Zero
Science is Shifting
Different Types of Mathematics
Algorithmic Mathematics
Algorithms occupy a world
Science is discovering a new language
The essence of complexity
Structural change
How science has developed
Enlightenment
Not everything was predictable
You never know
Cellular Automata
A welldefined process
Theres an infinite number
Complexity in Modern Architecture
The Economy
Computational Economics
Algorithmic Economics
Integrated Pluralism
Complexity Economics