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

NOVEMBER 10, 2021

Think of it as the entangled limit of everything that is computationally possible: the result of following all possible computational rules in all possible ways. It’s yet another surprising construct that’s arisen from our Physics Project. And it’s one that I think has extremely deep implications—both in science and beyond.

Physics 122

Physics Mathematics Computer Construction 122

Stephen Wolfram

FEBRUARY 14, 2023

It turns out that it’s possible to construct such a function. Later, we’ll talk about how such a function can be constructed, and the idea of neural nets. And the nontrivial scientific fact is that for an image-recognition task like this we now basically know how to construct functions that do this.

Computer 145

Computer Architecture Mathematics Construction 145

Stephen Wolfram

MARCH 7, 2022

When most working mathematicians do mathematics it seems to be typical for them to reason as if the constructs they’re dealing with (whether they be numbers or sets or whatever) are “real things”. And we can think of that ultimate machine code as operating on things that are in effect just abstract constructs—very much like in mathematics.

Mathematics 120

Mathematics Physics Computer Algebra 120