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

Stephen Wolfram

And if we’re going to make a “general theory of mathematics” a first step is to do something like we’d typically do in natural science, and try to “drill down” to find a uniform underlying model—or at least representation—for all of them. So how about logic, or, more specifically Boolean algebra ? &#10005. &#10005.

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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. And we can trace the argument for this to the Principle of Computational Equivalence.

Physics 122