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Charting a Course for “Complexity”: Metamodeling, Ruliology and More

Stephen Wolfram

Could it really be that this was the secret that nature had been using all along to make complexity? But it really wasn’t physics, or computer science, or math, or biology, or economics, or any known field. Sometimes I’ve thought of ruliology as being at first a bit like natural history.

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How Did We Get Here? The Tangled History of the Second Law of Thermodynamics

Stephen Wolfram

There was one major exception, however, in 1738, when—as part of his eclectic mathematical career spanning probability theory, elasticity theory, biostatistics, economics and more— Daniel Bernoulli (1700–1782) published his book on hydrodynamics. Nevertheless, every insurance company places its faith in the calculus of probabilities.

Energy 88
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The Concept of the Ruliad

Stephen Wolfram

The global structures of metamathematics , economics , linguistics and evolutionary biology seem likely to provide examples—and in each case we can expect that at the core is the ruliad, with its unique structure. But what about other models of computation—like cellular automata or register machines or lambda calculus?

Physics 122