Stephen Wolfram

MARCH 7, 2022

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. and at t steps gives a total number of rules equal to: &#10005. &#10005.

Mathematics 121

Mathematics Physics Computer Algebra 121

Stephen Wolfram

MAY 25, 2021

No doubt there’ll at least be some “natural-science-like” characterizations of what’s going on. The same is true of axioms for areas of abstract algebra like group theory—as well as basic Euclidean geometry (at least for integers). Will there still be “human-level descriptions” that involve numbers?

Mathematics 53

Mathematics Physics Computer Algebra 53

Stephen Wolfram

NOVEMBER 10, 2021

For integers, the obvious notion of equivalence is numerical equality. 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.

Physics 122

Physics Mathematics Computer Construction 122