Stephen Wolfram

MARCH 7, 2022

1 Mathematics and Physics Have the Same Foundations. 2 The Underlying Structure of Mathematics and Physics. 3 The Metamodeling of Axiomatic Mathematics. 4 Simple Examples with Mathematical Interpretations. 15 Axiom Systems of Present-Day Mathematics. 21 What Can Human Mathematics Be Like? Graphical Key.

Mathematics 122

Mathematics Physics Computer Algebra 122

Robert Talbert, Ph.D.

FEBRUARY 10, 2023

In the original article, I gave a list of what computing skills mathematics majors should learn and when they should learn them. If anything, over the past seven years, my feelings about the centrality of computing in the mathematics major have gotten even more entrenched. Mostly this is because of two things.

Mathematics 52

Mathematics Computer Algebra Calculus 52

Ellipsis Education

SEPTEMBER 30, 2021

This popular and professionally applicable language will help students advance in their computer science journeys. There is no implicit conversion between types like strings and integers - a string would be an invalid argument if passed to a mathematical function that expects a number.

IoT 52

IoT Computer Science Computer Argumentation 52

Ellipsis Education

APRIL 6, 2021

Because computer science is much more than learning programming languages , the good news is this… you don’t have to know them all. It is a fundamental concept in computer science and software development. Finally, parameters and arguments are values passed to the functions as data for the algorithm to digest.

Computer Science 52

Computer Science Computer Argumentation Communications 52

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. Part of what this achieves is to generalize beyond traditional mathematics the kind of constructs that can appear in models.

Science 65

Science Sciences Physics Mathematics 65

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. Part of what this achieves is to generalize beyond traditional mathematics the kind of constructs that can appear in models.

Physics 65

Physics Science Sciences Mathematics 65

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. Or, for that matter, representing something purely formal, and, say, mathematical.

Physics 123

Physics Mathematics Computer Construction 123

Talk STEM

MAY 13, 2021

The rise of our digital landscape has not just provided convenience, it has also represented incredible international career opportunities in science, technology, engineering, and mathematics (STEM) fields. There really should be no argument that there should be a more diverse makeup of STEM contributors.

STEM 52

STEM Argumentation Accessibility Computer Science 52

Stephen Wolfram

SEPTEMBER 29, 2023

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. If you set , then you set , you should get (not ) if you asked for.

Physics 110

Physics Computer Argumentation Construction 110

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

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 68

Computer Physics Science Sciences 68

Stephen Wolfram

FEBRUARY 3, 2023

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”. How does one tie all this down with rigorous, mathematical-style proofs?

Computer 93

Computer Energy Physics Construction 93

Computing Education Research Blog

NOVEMBER 26, 2021

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 ).

Computer Science 140

Computer Science Computer Science Sciences 140