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

Stephen Wolfram

But it really wasn’t physics, or computer science, or math, or biology, or economics, or any known field. For three centuries theoretical models had been based on the fairly narrow set of constructs provided by mathematical equations, and particularly calculus. In some ways, ruliology is like natural science.

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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