Robert Talbert, Ph.D.

FEBRUARY 10, 2023

As I teach my Linear Algebra and Differential Equations class this semester, which uses more computing than ever, I'm thinking even more about these topics. If anything, over the past seven years, my feelings about the centrality of computing in the mathematics major have gotten even more entrenched.

Mathematics 52

Mathematics Computer Algebra Calculus 52

Futurum

DECEMBER 6, 2022

Published: Brain-computer interfaces (BCIs) link the brain directly to external computers, allowing users to do something just by thinking it. In recent years, BCIs have moved from science fiction to something that could have real potential. ABOUT COMPUTER SCIENCE AND BRAIN-COMPUTER INTERFACES (BCIs).

Computer 70

Computer Computer Science Artificial Intelligence Research 70

Stephen Wolfram

OCTOBER 27, 2023

And in our century there’s a new and yet more powerful one: computation. And for nearly 50 years I’ve had the great privilege of building an ever taller tower of science and technology based on that idea of computation. You know, I talked about building up the universe by repeatedly applying a computational rule.

Computer 134

Computer Physics Mathematics Achievement 134

Stephen Wolfram

SEPTEMBER 9, 2021

But what I’ve increasingly been realizing is that actually it’s showing us something even bigger and deeper: a whole fundamentally new paradigm for making models and in general for doing theoretical science. But there remained plenty of phenomena—particularly associated with complexity—that this paradigm seemed to have little to say about.

Science 64

Science Sciences Physics Mathematics 64

Stephen Wolfram

MAY 16, 2022

See also: “ A New Kind of Science : A 15-Year View ”. From the Foundations Laid by A New Kind of Science. When A New Kind of Science was published twenty years ago I thought what it had to say was important. And there are new, computational ways to think about fundamental features of how systems in nature and elsewhere work.

Science 63

Science Sciences Mathematics Physics 63

Stephen Wolfram

SEPTEMBER 9, 2021

But what I’ve increasingly been realizing is that actually it’s showing us something even bigger and deeper: a whole fundamentally new paradigm for making models and in general for doing theoretical science. But there remained plenty of phenomena—particularly associated with complexity—that this paradigm seemed to have little to say about.

Physics 64

Physics Science Sciences Mathematics 64

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. So how about logic, or, more specifically Boolean algebra ? and Not ) is: &#10005.

Mathematics 120

Mathematics Physics Computer Algebra 120

Stephen Wolfram

AUGUST 22, 2023

Ed was someone who wanted to independently figure things out for himself, and delighted in presenting his often somewhat-outlandish conclusions—whether about technology, science, business or the world—with dramatic showman-like panache. Finally I felt as if there might be a plausible computational foundation for fundamental physics.

Computer 67

Computer Physics Science Sciences 67

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. It’s yet another surprising construct that’s arisen from our Physics Project.

Physics 121

Physics Mathematics Computer Construction 121

Stephen Wolfram

MAY 17, 2021

In preparation for a conference entitled “ Distributed Consensus with Cellular Automata & Related Systems ” that we’re organizing with NKN (= “New Kind of Network”) I decided to explore the problem of distributed consensus using methods from A New Kind of Science (yes, NKN “rhymes” with NKS) as well as from the Wolfram Physics Project.

Computer 52

Computer Achievement Mathematics Physics 52