Stephen Wolfram

MARCH 23, 2023

The whole process of “prompt engineering” feels a bit like animal wrangling: you’re trying to get ChatGPT to do what you want, but it’s hard to know just what it will take to achieve that. In the past, one might have tried to achieve this “by hand” by starting with “boilerplate” pieces, then modifying them, “gluing” them together, etc.

Computer 145

Computer Mathematics Math Achievement 145

National Science Foundation

SEPTEMBER 22, 2021

Similarly, reformers have focused on the timing of the course, aiming to enroll students as early as possible to open pathways to calculus and to diversify access to higher level mathematics. Yet we have not seen equal advances in achievement (National Center for Education Statistics, 2019). Economics of Education Review, 58 , 141–161.

Algebra 76

Algebra Mathematics Flexibility Research 76

Stephen Wolfram

JANUARY 31, 2023

But, first and foremost, the story of the Second Law is the story of a great intellectual achievement of the mid-19th century. There’s a discussion about H for systems that interact, and how there’s an equilibrium value achieved. It’s exciting now, of course, to be able to use the latest 21st-century ideas to take another step.

Energy 88

Energy Physics Argumentation Mathematics 88

Stephen Wolfram

SEPTEMBER 23, 2021

But it really wasn’t physics, or computer science, or math, or biology, or economics, or any known field. For three centuries theoretical models had been based on the fairly narrow set of constructs provided by mathematical equations, and particularly calculus. Yes, it might have to take on the methodology of its “host” area.

Computer 55

Computer Mathematics Science Sciences 55

Maydm

JUNE 11, 2021

A Master’s degree in developmental economics and international development from the London School of Economics and Political Science and a bachelor’s degree in childhood education. I deferred my offer to graduate school at the London School of Economics. She founded it in 2015 and she was its first teacher.

STEM 52

STEM Economics Social Sciences Innovation 52

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. Economics. And this seems likely to be related to the origin of “value” in economics (or perhaps more so to the notion of a numéraire).

Science 65

Science Sciences Physics 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. Economics. And this seems likely to be related to the origin of “value” in economics (or perhaps more so to the notion of a numéraire).

Physics 64

Physics Science Sciences Mathematics 64

Stephen Wolfram

NOVEMBER 10, 2021

The global structures of metamathematics , economics , linguistics and evolutionary biology seem likely to provide examples—and in each case we can expect that at the core is the ruliad, with its unique structure. But what about other models of computation—like cellular automata or register machines or lambda calculus?

Physics 122

Physics Mathematics Computer Construction 122

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). But I think at least in the later part of his life, Ed felt his greatest achievements related to cellular automata and in particular his idea that the universe is a giant cellular automaton.

Computer 67

Computer Physics Science Sciences 67

Computing Education Research Blog

NOVEMBER 26, 2021

My argument is that computer science was originally invented to be taught to everyone, but not for economic advantage. He argued that you can’t think about integral calculus the same after you learn about computational iteration. He described efforts at Carnegie Tech to build economics models and learn through simulating them.

Computer Science 140

Computer Science Computer Science Sciences 140