Stephen Wolfram

JANUARY 31, 2023

He starts off by saying about Carnot’s book: The idea which serves as a basis of his researches seems to me to be both fertile and beyond question; his demonstrations are founded on the absurdity of the possibility of creating motive power or heat out of nothing.

Energy 89

Energy Physics Argumentation Mathematics 89

National Science Foundation

SEPTEMBER 22, 2021

Researchers and policy makers have pushed to open that gate—providing more students access to algebra, focusing in particular on those students historically denied access to higher-level mathematics. In its current form, school algebra serves as a gatekeeper to higher-level mathematics. Boaler & Leavitt, 2019).

Algebra 76

Algebra Mathematics Flexibility Research 76

Stephen Wolfram

JANUARY 9, 2024

we’ve been steadily delivering the fruits of our research and development in.1 In a somewhat different direction, we’ve expanded our Wolfram Summer School to add a Wolfram Winter School , and we’ve greatly expanded our our Wolfram High School Summer Research Program , adding year-round programs , middle-school programs , etc.—including

Computer 96

Computer Calculus Construction Accessibility 96

Stephen Wolfram

SEPTEMBER 27, 2024

Some involve alternate functional forms; others involve introducing additional functions, or allowing multiple arguments to our function f. But it turns out that the fact that this can happen depends critically on the Ackermann function having more than one argument—so that one can construct the “diagonal” f [ m , m , m ].

Computer 108

Computer Mathematics Argumentation Sciences 108

Robert Talbert, Ph.D.

APRIL 15, 2022

But if you were reading a research article and the author used a sample size of n = 1, how would you react? An argument for traditional grading goes like this: Sure, a single assessment might have a grade on it that doesn't accurately reflect student understanding. It makes sense as long as you don't think about it.

Academic Standards 52

Academic Standards Communications Calculus Algebra 52

Stephen Wolfram

AUGUST 29, 2024

While all of this was going on, I was also energetically pursuing my “day job” as CEO of Wolfram Research. In the end—after all sorts of philosophical arguments, and an analysis of actual historical data —the answer was: “It’s Complicated”. And I’m happy to say that just three years later, we’ve already made a big dent in it.

Physics 112

Physics Computer Biology Mathematics 112

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). In the mid-1990s, researching history for my book A New Kind of Science , (as I’ll discuss below) I had a detailed email exchange and long phone conversation with Ed about this. It’s just my nature.

Computer 69

Computer Physics Sciences Science 69

Stephen Wolfram

FEBRUARY 3, 2023

Sometimes textbooks will gloss over everything; sometimes they’ll give some kind of “common-sense-but-outside-of-physics argument”. Once one has the idea of “equilibrium”, one can then start to think of its properties as purely being functions of certain parameters—and this opens up all sorts of calculus-based mathematical opportunities.

Computer 91

Computer Energy Physics Construction 91

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. Alan Perlis (first ACM Turing Award laureate) made a different argument in his chapter. He argued that you can’t think about integral calculus the same after you learn about computational iteration.

Computer Science 139

Computer Science Computer Sciences Science 139