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

Stephen Wolfram

SEPTEMBER 23, 2021

For three centuries theoretical models had been based on the fairly narrow set of constructs provided by mathematical equations, and particularly calculus. But—in something akin to the process of metamodeling—we can ask: What is the essence of what we want to communicate in the word? In some ways, ruliology is like natural science.

Computer 55

Computer Mathematics Science Sciences 55

Stephen Wolfram

NOVEMBER 10, 2021

But what about other models of computation—like cellular automata or register machines or lambda calculus? But it’s a fundamental claim that we’re making—that can be thought of as a matter of natural science—that in our universe only computation can occur, not hypercomputation. Communicating across Rulial Space.

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. 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