Stephen Wolfram

SEPTEMBER 23, 2021

Could it really be that this was the secret that nature had been using all along to make complexity? But it really wasn’t physics, or computer science, or math, or biology, or economics, or any known field. But I think it does well at communicating what this science that I’ve enjoyed for so long is about.

Computer 55

Computer Mathematics Science Sciences 55

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 121

Physics Mathematics Computer Construction 121

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. It turns out that the chain rule of calculus in effect lets us “unravel” the operations done by successive layers in the neural net.

Computer 145

Computer Architecture Mathematics Construction 145

Stephen Wolfram

JANUARY 31, 2023

Later he describes what he calls the “Principle of the Communication of Heat”. There’s lots of rhetoric: The applicability of the calculus of probabilities to a particular case can of course never be proved with precision. Nevertheless, every insurance company places its faith in the calculus of probabilities.

Energy 88

Energy Physics Argumentation Mathematics 88