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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

For example, we know (as I discovered in 2000) that (( b · c ) · a ) · ( b · (( b · a ) · b )) = a is the minimal axiom system for Boolean algebra , because FindEquationalProof finds a path that proves it. And we can trace the argument for this to the Principle of Computational Equivalence.

Physics 122