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W. Brian Arthur (Part 2) on "Prim Dreams of Order vs. Messy Vitality" in Economics, Math, and Physics

COMPLEXITY

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Real numbers real?

In the early 20th century, advocates of axiomatic mathematics believed numbers were timeless objects. However, we now realize the value of intuitionist mathematics, where numbers are seen as processes. We are beginning to appreciate the computational possibilities of our world and the importance of simulations and predictions. This article discusses the idea of putting randomness at the singularity or accepting a finite amount of information in real numbers. It explores the concept of fundamental randomness and invites further discussion.

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