Remove Argumentation Remove Calculus Remove Computer Science Remove Sciences
article thumbnail

What should mathematics majors know about computing, and when should they know it?

Robert Talbert, Ph.D.

If anything, over the past seven years, my feelings about the centrality of computing in the mathematics major have gotten even more entrenched. First, I know more computer science and computer programming now than I did in 2007. These days the computer plays a front-and-center role in all of my classes.

article thumbnail

Multicomputation: A Fourth Paradigm for Theoretical Science

Stephen Wolfram

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
educators

Sign Up for our Newsletter

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

article thumbnail

Even beyond Physics: Introducing Multicomputation as a Fourth General Paradigm for Theoretical Science

Stephen Wolfram

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 65
article thumbnail

Expression Evaluation and Fundamental Physics

Stephen Wolfram

Since the standard Wolfram Language evaluator evaluates arguments first (“leftmost-innermost evaluation”), it therefore won’t terminate in this case—even though there are branches in the multiway evaluation (corresponding to “outermost evaluation”) that do terminate. As the Version 1.0

Physics 108
article thumbnail

Remembering the Improbable Life of Ed Fredkin (1934–2023) and His World of Ideas and Stories

Stephen Wolfram

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.

article thumbnail

Computer Science was always supposed to be taught to everyone, and it wasn’t about getting a job: A historical perspective

Computing Education Research Blog

My activities in computing education these days are organized around two main projects: Defining computing education for undergraduates in the University of Michigan’s College of Literature, Science, and Arts (see earlier blog post referencing this effort ); Participatory design of Teaspoon languages (mentioned most recently in this blog post ).

article thumbnail

Computational Foundations for the Second Law of Thermodynamics

Stephen Wolfram

The Second Law of thermodynamics is considered one of the great general principles of physical science. Sometimes textbooks will gloss over everything; sometimes they’ll give some kind of “common-sense-but-outside-of-physics argument”. Mechanical work irreversibly turns into heat. It almost seems like it’s going to be “provably true”.