PCS Edventures

MARCH 4, 2020

Whether you agree with the theory that mathematics exists for humans to discover or that it is a man-made tool, numeric systems designed to measure the world around us serve as the foundation for scientific and technological advancement. Algebra , which incorporates unknown variables into arithmetic equations. What is Math?

Mathematics 52

Mathematics Energy Architecture Government 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

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.) Experiencing the Ruliad.

Physics 122

Physics Mathematics Computer Construction 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

SEPTEMBER 9, 2021

One might have thought it was already exciting enough for our Physics Project to be showing a path to a fundamental theory of physics and a fundamental description of how our physical universe works. 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

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

Stephen Wolfram

SEPTEMBER 9, 2021

One might have thought it was already exciting enough for our Physics Project to be showing a path to a fundamental theory of physics and a fundamental description of how our physical universe works. Part of what this achieves is to generalize beyond traditional mathematics the kind of constructs that can appear in models.

Science 64

Science Sciences Physics Mathematics 64

Stephen Wolfram

JANUARY 9, 2024

Then for each function (or other construct in the language) there are pages that explain the function, with extensive examples. One new construct added in Version 13.1 —and And now there’s a way to specify that, using Threaded : In a sense, Threaded is part of a new wave of symbolic constructs that have “ambient effects” on lists.

Computer 102

Computer Calculus Construction Accessibility 102

Stephen Wolfram

AUGUST 22, 2023

Indeed, so confident was he of his programming prowess that he became convinced that he should in effect be able to write a program for the universe—and make all of physics into a programming problem. 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).

Computer 68

Computer Physics Science Sciences 68

Stephen Wolfram

MAY 16, 2022

My original goal in A New Kind of Science was to take a step beyond the mathematical paradigm that had defined the state of the art in science for three centuries—and to introduce a new paradigm based on computation and on the exploration of the computational universe of possible programs. But there’s more.

Science 63

Science Sciences Mathematics Physics 63

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.

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. In the general case, states can contain multiple “tokens” , and updates can also “consume” multiple tokens.

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

Futurum

AUGUST 11, 2022

Raja was part of the team that created the first ever digital photo mosaic of the Andromeda galaxy, constructed by stitching together 57 images taken by a ground-based telescope. I liked all kinds of science when I was at school – biology, chemistry, physics. SHOULD WE BE WORRIED ABOUT A COLLISION WITH ANDROMEDA?

Astronomy 98

Astronomy Equality Research Research 98

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

Stephen Wolfram

MAY 20, 2021

Having this as a single function makes it easier to use in functional programming constructs like this: &#10005. But sometimes it’s much more convenient to get the subgraph (and in fact in the formalism of our Physics Project that subgraph—that we view as a “ geodesic ball ”—is a rather central construct). So in Version 12.3

Computer 52

Computer Construction Physics Technology 52

User Generated Education

OCTOBER 16, 2015

embers of these subcultures strive to blur the lines between creator and consumer by constructing a social network that ties users and makers close together. The phrase Do It Yourself along with its acronym is also commonly used where a layman endeavors to complete a project without the physical aid of a paid professional.

Education 108

Education Education Accessibility STEM 108

User Generated Education

JULY 7, 2016

embers of these subcultures strive to blur the lines between creator and consumer by constructing a social network that ties users and makers close together. The phrase Do It Yourself along with its acronym is also commonly used where a layman endeavors to complete a project without the physical aid of a paid professional.

Education 60

Education Education Accessibility STEM 60