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

JUNE 8, 2022

Here in more detail are the forms of some typical components of branchial graphs achieved at particular steps: &#10005. But only 3 ultimately achieve a true Hamiltonian cycle that ends adjacent to the starting node: &#10005. . &#10005. and these are broken down across different graph structures as follows: &#10005.

Physics 71

Physics Computer Construction Equality 71

Stephen Wolfram

SEPTEMBER 9, 2021

Part of what this achieves is to generalize beyond traditional mathematics the kind of constructs that can appear in models. But there is something else too—and it’s from this that the full computational paradigm emerges. And the same issue arose for Alonzo Church’s lambda calculus (introduced around 1930).

Physics 65

Physics Science Sciences Mathematics 65

Stephen Wolfram

SEPTEMBER 9, 2021

Part of what this achieves is to generalize beyond traditional mathematics the kind of constructs that can appear in models. But there is something else too—and it’s from this that the full computational paradigm emerges. And the same issue arose for Alonzo Church’s lambda calculus (introduced around 1930).

Science 64

Science Sciences Physics Mathematics 64

Maydm

JUNE 11, 2021

And so being able to just get some great people at the table, some of the amazing sponsors that we have, and I would say the successes have really been at this point, having students who worked with us, you know, back in 2016 to now see them in college and pursuing computer science. I’m a prospective computer science major there.”

STEM 52

STEM Economics Social Sciences Innovation 52

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

AUGUST 22, 2023

It didn’t help that his knowledge of physics was at best spotty (and, for example, I don’t think he ever really learned calculus). “Lick” Licklider —who persuaded Ed to join BBN to “teach them about computers”. Ed was assigned to an airbase in Arizona , and by the summer of 1955 he had qualified as a fighter pilot.

Computer 68

Computer Physics Science Sciences 68

Stephen Wolfram

FEBRUARY 3, 2023

Indeed, the Zeroth Law of thermodynamics is essentially the statement that “statistically unique” equilibrium can be achieved, which in terms of energy becomes a statement that there is a unique notion of temperature. How do we achieve this? But is it “achieving measurement” or not? There’s a bit more to say about this, though.

Computer 92

Computer Energy Physics Construction 92

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

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