Stephen Wolfram

SEPTEMBER 23, 2021

Could it really be that this was the secret that nature had been using all along to make complexity? It wasn’t long before I realized something fundamental: that this was at its core a computational phenomenon. But it really wasn’t physics, or computer science, or math, or biology, or economics, or any known field.

Computer 55

Computer Mathematics Science Sciences 55

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. From a computer science perspective, we can think of it as being like a type hierarchy.

Mathematics 120

Mathematics Physics Computer Algebra 120

Stephen Wolfram

NOVEMBER 10, 2021

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. But what about other models of computation—like cellular automata or register machines or lambda calculus?

Physics 122

Physics Mathematics Computer Construction 122

Stephen Wolfram

FEBRUARY 14, 2023

It’s not obvious that it would be feasible to find the path of the steepest descent on the “weight landscape” But calculus comes to the rescue. As we mentioned above, one can always think of a neural net as computing a mathematical function—that depends on its inputs, and its weights.

Computer 145

Computer Architecture Mathematics Construction 145