Stephen Wolfram

JANUARY 9, 2023

It happened with our Physics Project in 2020. It’s equally, if not more, important for human-like AIs as well—immediately giving them what we can think of as computational knowledge superpowers, that leverage the non-human-like power of structured computation and structured knowledge. ChatGPT and Wolfram|Alpha.

Computer 145

Computer Communications Achievement Mathematics 145

Robert Talbert, Ph.D.

MARCH 25, 2022

There’s a discernible physical component to learning. Active learning helps (see below), and I need to remember that there is always a backstory — that student who looks totally disengaged may be depressed, or sick, or just needing help in some non-mathematical way. in algebraic topology from a top-25 research university.

Teaching 52

Teaching Learning Algebra Personalized Learning 52

STEM Education Shopping

JULY 19, 2023

By physically manipulating these blocks, you can practice counting, addition, and subtraction. Each block represents a specific number, allowing you to visually understand mathematical operations. By placing them side by side, you can physically see that when you combine 2 and 3, you get 5.

Math 52

Math Algebra Data analysis Problem Solving 52

Stephen Wolfram

MAY 25, 2021

The history of physics might make one think that numbers would be a necessary part of the structure of any fundamental theory of our physical universe. But the models of physics suggested by our Physics Project have no intrinsic reference to numbers. And some places where we can expect the concept of numbers to be useful.

Mathematics 53

Mathematics Physics Computer Algebra 53

Stephen Wolfram

MARCH 5, 2024

Three centuries ago science was transformed by the idea of representing the world using mathematics. A key idea—ultimately supported at a foundational level by our Physics Project —is that we can think of everything that happens as a computational process. The system is doing a computation to determine its behavior.

Science 122

Science Sciences Computer Mathematics 122

Stephen Wolfram

DECEMBER 11, 2023

But what we’ve discovered particularly dramatically in our Physics Project is that the nature of us as observers is critical even in determining the most fundamental laws we attribute to the universe. But the notion of observers—and observer theory—isn’t limited purely to “physical observers”. But other features do not.

Physics 120

Physics Mathematics Computer Communications 120

Stephen Wolfram

NOVEMBER 10, 2021

It’s yet another surprising construct that’s arisen from our Physics Project. And—it should be said at the outset—we’re still only at the very beginning of nailing down those technical details and setting up the difficult mathematics and formalism they involve.) For integers, the obvious notion of equivalence is numerical equality.

Physics 122

Physics Mathematics Computer Construction 122

Stephen Wolfram

JUNE 28, 2023

They’re mathematically more complex, but each one we successfully cover makes a new collection of problems accessible to exact solution and reliable numerical and symbolic computation. It’s the end of a long journey, and a satisfying achievement in the quest to make as much mathematical knowledge as possible automatically computable.

Computer 118

Computer Calculus Construction Mathematics 118

Futurum

AUGUST 11, 2022

LIGHT-YEAR – the distance travelled by light in one year (equal to ~9,000,000,000,000 km). I liked all kinds of science when I was at school – biology, chemistry, physics. I was used to solving maths, physics, and chemistry problems, but they were invariably problems that someone had set and, therefore, knew the answer to.

Astronomy 98

Astronomy Equality Research Research 98

Stephen Wolfram

NOVEMBER 3, 2023

Multiway systems have a central role in our Physics Project , particularly in connection with quantum mechanics. But in studying multiway systems for aggregation and tiling, we’ll be dealing with something that is immediately more physical and tangible. For the 8:{3} rule something surprising happens.

Physics 87

Physics Construction Equality Science 87

Stephen Wolfram

OCTOBER 7, 2021

And the involvement of numbers will often allow us to make immediate use of traditional mathematical methods. In our Physics Project , the states are combinations of relations between elements, represented by hypergraphs. or ) must for example be equal to 1 mod 2, 3 and 6. What about the more general case? &#10005. &#10005.

Physics 52

Physics Mathematics Algebra Construction 52

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

DECEMBER 13, 2021

Any integral of an algebraic function can in principle be done in terms of our general DifferentialRoot objects. the same integral could still be done, but only in terms of elliptic integrals : Mathematical Functions: A Milestone Is Reached. has lots of specific mathematical enhancements. we’re delivering another jump forward.

Construction 67

Construction Computer Physics Accessibility 67