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The Concept of the Ruliad

Stephen Wolfram

And we can trace the argument for this to the Principle of Computational Equivalence. But it’s a fundamental claim that we’re making—that can be thought of as a matter of natural science—that in our universe only computation can occur, not hypercomputation. A very important claim about the ruliad is that it’s unique.

Physics 117
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A 50-Year Quest: My Personal Journey with the Second Law of Thermodynamics

Stephen Wolfram

In early 1984 I visited MIT to use the machine to try to do what amounted to natural science, systematically studying 2D cellular automata. I think Yves Pomeau already had a theoretical argument for this, but as far as I was concerned, it was (at least at first) just a “next thing to try”.

Physics 95