Stephen Wolfram

SEPTEMBER 23, 2021

This is the first of a series of pieces I’m planning in connection with the upcoming 20th anniversary of the publication of A New Kind of Science. “There’s a Whole New Field to Build…” For me the story began nearly 50 years ago —with what I saw as a great and fundamental mystery of science. How is it made?

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. And it’s one that I think has extremely deep implications—both in science and beyond. And this is where our pieces of “falsifiable natural science” come in.

Physics 122

Physics Mathematics Computer Construction 122

Stephen Wolfram

FEBRUARY 14, 2023

Or you could do what is the essence of theoretical science: make a model that gives some kind of procedure for computing the answer rather than just measuring and remembering each case. 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

MARCH 7, 2022

And if we’re going to make a “general theory of mathematics” a first step is to do something like we’d typically do in natural science, and try to “drill down” to find a uniform underlying model—or at least representation—for all of them. And in the style of A New Kind of Science we can do ruliology to explore them. &#10005.

Mathematics 120

Mathematics Physics Computer Algebra 120