Stephen Wolfram

MARCH 5, 2024

At a very practical level, for example, LLMs provide a new kind of linguistic interface to the computational capabilities that we’ve spent so long building in the Wolfram Language. But before we get into this, we need to discuss something that looms over any attempt to “solve science”: the phenomenon of computational irreducibility.

Science 122

Science Sciences Computer Mathematics 122

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

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. 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

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. In the language of our Physics Project, it’s the ultimate limit of all rulial multiway systems.

Physics 122

Physics Mathematics Computer Construction 122

Stephen Wolfram

JUNE 28, 2023

We’ve worked very hard to make its design as clean and coherent as possible—and to make it a timeless way to elegantly represent computation and everything that can be described through it. Last Friday I fired up Version 1 on an old Mac SE/30 computer (with 2.5 Last Friday I fired up Version 1 on an old Mac SE/30 computer (with 2.5

Computer 118

Computer Calculus Construction Mathematics 118

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. Multiway systems have a central role in our Physics Project , particularly in connection with quantum mechanics. For the 8:{3} rule something surprising happens.

Physics 87

Physics Construction Equality Science 87

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

OCTOBER 7, 2021

In our Physics Project , the states are combinations of relations between elements, represented by hypergraphs. In our Physics Project, a state corresponds to a hyperedge which contains many hyperedge tokens, and the update rule typically consumes multiple hyperedges. or ) must for example be equal to 1 mod 2, 3 and 6.

Physics 52

Physics Mathematics Algebra Construction 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