Stephen Wolfram

SEPTEMBER 23, 2021

But it really wasn’t physics, or computer science, or math, or biology, or economics, or any known field. The idea not of solving equations, but instead of setting up computational rules that could be explicitly run to represent and reproduce things in the world. What is that science? But at least it would have a home.

Computer 55

Computer Mathematics Science Sciences 55

Stephen Wolfram

MARCH 7, 2022

And in what follows we’ll see the great power that arises from using this to combine the achievements and intuitions of physics and mathematics—and how this lets us think about new “general laws of mathematics”, and view the ultimate foundations of mathematics in a different light. 3 | The Metamodeling of Axiomatic Mathematics.

Mathematics 120

Mathematics Physics Computer Algebra 120

Stephen Wolfram

NOVEMBER 10, 2021

Because it implies that whatever “computational parametrization” or “computational description language” one uses for the ruliad, one will almost always get something that can be viewed as “computationally equivalent”. 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.

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Computer Architecture Mathematics Construction 145