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

Stephen Wolfram

But in a quirk of history that I now realize had tremendous significance, I had just spent a couple of years creating a big computer system that was ultimately a direct forerunner of our modern Wolfram Language. So for me it was obvious: if I couldn’t figure out things myself with math, I should use a computer. Computation theory.

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The Physicalization of Metamathematics and Its Implications for the Foundations of Mathematics

Stephen Wolfram

We can think of the ruliad as the entangled limit of all possible computations—or in effect a representation of all possible formal processes. Many of these consequences are incredibly complicated, and full of computational irreducibility. But now we can make a bridge to mathematics. So is something similar happening with mathematics?

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What Is ChatGPT Doing … and Why Does It Work?

Stephen Wolfram

See also: “Wolfram|Alpha as the Way to Bring Computational Knowledge Superpowers to ChatGPT” » It’s Just Adding One Word at a Time That ChatGPT can automatically generate something that reads even superficially like human-written text is remarkable, and unexpected. But how does it do it? And why does it work?

Computer 145
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The Concept of the Ruliad

Stephen Wolfram

Think of it as the entangled limit of everything that is computationally possible: the result of following all possible computational rules in all possible ways. And it’s one that I think has extremely deep implications—both in science and beyond. The full ruliad is in effect a representation of all possible computations.

Physics 122