Stephen Wolfram

JANUARY 9, 2024

And all those years we’ve been continuing to build a taller and taller tower of capabilities, progressively expanding the scope of our vision and the breadth of our computational coverage of the world: Version 1.0 In the arc of intellectual history it defines a broad, new, computational paradigm for formalizing the world.

Computer 102

Computer Calculus Construction Accessibility 102

Stephen Wolfram

MARCH 7, 2022

We can think of the ruliad as the entangled limit of all possible computations—or in effect a representation of all possible formal processes. Many of these consequences are incredibly complicated, and full of computational irreducibility. But now we can make a bridge to mathematics.

Mathematics 120

Mathematics Physics Computer Algebra 120

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. It’s yet another surprising construct that’s arisen from our Physics Project. The full ruliad is in effect a representation of all possible computations.

Physics 121

Physics Mathematics Computer Construction 121

Stephen Wolfram

DECEMBER 14, 2022

Introducing Astro Computation. Astronomy has been a driving force for computation for more than 2000 years (from the Antikythera device on)… and in Version 13.2 But what’s new now is astronomical computation fully integrated into the system. But what’s new now is astronomical computation fully integrated into the system.

Astronomy 74

Astronomy Computer Construction Argumentation 74

Stephen Wolfram

MAY 25, 2021

And in it this computation is going on: &#10005. Let’s change the rule for the computation a bit. But that ignores the phenomenon of computational irreducibility. But it’s a fundamental fact of the computational universe that the result doesn’t have to be simple: &#10005. Imagine you have some sophisticated AI.

Mathematics 53

Mathematics Physics Computer Algebra 53

Stephen Wolfram

DECEMBER 11, 2023

Much as we have a general model for the process of computation —instantiated by something like a Turing machine —we’d like to have a general model for the process of observation: a general “observer theory”. There’s in a sense a certain duality between computation and observation. In computation one’s generating new states of a system.

Physics 120

Physics Mathematics Computer Communications 120

Stephen Wolfram

AUGUST 22, 2023

And there was one way in which Ed and I were very much aligned: both of our lives were deeply influenced by computers and computing. Ed had started with computers in 1956—as part of one of the very first cohorts of programmers. He was going for what he saw as the big prize: using them to “construct the universe”.

Computer 67

Computer Physics Science Sciences 67

Stephen Wolfram

SEPTEMBER 29, 2023

But some of it has immediate practical implications, notably for parallel, distributed, nondeterministic and quantum-style computing. The key point is that a given event cannot happen unless all the inputs to it are available, i.e. have already been computed. Some of what this will lead us to is deeply abstract.

Physics 108

Physics Computer Argumentation Construction 108

PCS Edventures

MARCH 4, 2020

Algebra , which incorporates unknown variables into arithmetic equations. The 2014 film The Imitation Game reenacts Turing’s creation of the Turing Machine, a computing device that broke the seemingly-unbreakable Nazi encryption as well as served as an important step toward modern computers.

Mathematics 52

Mathematics Energy Architecture Government 52

Stephen Wolfram

MAY 17, 2021

But it’s potentially much more efficient if we can use a distributed algorithm, where we’re running computations in parallel across the various nodes. In any decentralized system with computers, people, databases, measuring devices or anything else one can end up with different values or results at different “nodes”. The Background.

Computer 52

Computer Achievement Mathematics Physics 52

Futurum

JULY 13, 2022

Mathematically, these records make it fairly easy to construct a supply chain network,” says Zach. There are many branches of maths, including algebra, geometry, calculus and statistics. Linear algebra, statistics and computer programming are particularly useful. “If ABOUT MATHEMATICS. PATHWAY FROM SCHOOL TO MATHEMATICS.

Mathematics 82

Mathematics Artificial Intelligence Math Research 82

Stephen Wolfram

SEPTEMBER 9, 2021

Its key idea is to think of things in the world as being constructed from some kind of simple-to-describe elements—say geometrical objects—and then to use something like logical reasoning to work out what will happen with them. But there is something else too—and it’s from this that the full computational paradigm emerges.

Physics 64

Physics Science Sciences Mathematics 64

Stephen Wolfram

SEPTEMBER 9, 2021

Its key idea is to think of things in the world as being constructed from some kind of simple-to-describe elements—say geometrical objects—and then to use something like logical reasoning to work out what will happen with them. 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

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

In a typical standard computational system like a cellular automaton , there’s always just one path, defined by evolution from one state to the next. But in something like the pentagon case, doing so requires solving equations in a high-degree algebraic number field.)

Physics 87

Physics Construction Equality Science 87

Robert Talbert, Ph.D.

MARCH 11, 2022

Economics professors at Miami University in Ohio invented something they called the "inverted classroom" , and a lone computer science professor at Cedarville University, also in Ohio, flipped his webpage design class and was the first person to use the term "flipping" to describe it. a lecture about algebra?

Learning 52

Learning Teaching Physics Math 52

Stephen Wolfram

OCTOBER 7, 2021

But I suspect that the general problem of determining merging will show computational irreducibility , and that for example there will be no fundamentally better way to determine whether a particular branch pair has merged after t steps than by essentially enumerating every possible evolution for that number of steps. And in a case like. &#10005.

Physics 52

Physics Mathematics Algebra Construction 52

Robert Talbert, Ph.D.

APRIL 15, 2022

Those assessments can take on various forms, and in well-constructed courses they do have varying forms, corresponding to different levels of Bloom's Taxonomy. But no matter the form, they are are typically one-and-done: Students turn them in, and the work is graded, and that's that. Limit the frequency of reassessments.

Academic Standards 52

Academic Standards Communications Calculus Argumentation 52

Stephen Wolfram

DECEMBER 13, 2021

Any integral of an algebraic function can in principle be done in terms of our general DifferentialRoot objects. All the functions in Abramowitz & Stegun are now fully computable in the Wolfram Language. And from the “worst-case” way the interval was computed this now provides a definite theorem. it can: &#10005.

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

Maker Movement: The maker movement, as we know, is the umbrella term for independent inventors, designers and tinkerers, a convergence of computer hackers and traditional artisans. 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.

Education 108

Education Education Accessibility STEM 108

User Generated Education

JULY 7, 2016

Maker Movement: The maker movement, as we know, is the umbrella term for independent inventors, designers and tinkerers, a convergence of computer hackers and traditional artisans. 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.

Education 60

Education Education Accessibility STEM 60