PCS Edventures

SEPTEMBER 22, 2021

Both Discover Digital Video LAB and Traveling Artist kits are flexible for in-person or distance learning. Learners see the challenges characters face time and again as they work to achieve a goal. Well, in recent years, you may have noticed an increased focus on supporting scientific thinking with written and oral arguments.

Mathematics 52

Mathematics Engineering Argumentation Science 52

Stephen Wolfram

JANUARY 9, 2024

So many discoveries, so many inventions, so much achieved, so much learned. And key to everything we do is leveraging what we have already done—often taking what in earlier years was a pinnacle of technical achievement, and now using it as a routine building block to reach a level that could barely even be imagined before.

Computer 102

Computer Calculus Construction Accessibility 102

Stephen Wolfram

MARCH 7, 2022

And in what follows we’ll see the great power that arises from using this to combine the achievements and intuitions of physics and mathematics—and how this lets us think about new “general laws of mathematics”, and view the ultimate foundations of mathematics in a different light. and zero arguments: α[ ]. &#10005.

Mathematics 120

Mathematics Physics Computer Algebra 120

Stephen Wolfram

MARCH 5, 2024

My first big success came in 1981 when I decided to try enumerating all possible rules of a certain kind (elementary cellular automata) and then ran them on a computer to see what they did: I’d assumed that with simple underlying rules, the final behavior would be correspondingly simple. Yes, there can be a lot of flexibility in this model.

Science 122

Science Sciences Computer Mathematics 122

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. Events are like functions, whose “arguments” are incoming tokens, and whose output is one or more outgoing tokens. But there is something else too—and it’s from this that the full computational paradigm emerges.

Physics 65

Physics Science Sciences 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. Events are like functions, whose “arguments” are incoming tokens, and whose output is one or more outgoing tokens. But there is something else too—and it’s from this that the full computational paradigm emerges.

Science 64

Science Sciences Physics Mathematics 64

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”. This argument is quite rough, but it captures the essence of what’s going on. But one never quite gets there ; it always seems to need something extra. Why does the Second Law work?

Computer 92

Computer Energy Physics Construction 92