Stephen Wolfram

MARCH 23, 2023

And in the end, as we’ll discuss later, that’s a more flexible and powerful way to communicate. The whole process of “prompt engineering” feels a bit like animal wrangling: you’re trying to get ChatGPT to do what you want, but it’s hard to know just what it will take to achieve that. But ChatGPT has all but made this process obsolete.

Computer 145

Computer Mathematics Math Achievement 145

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

DECEMBER 13, 2021

there are now many integrals that could previously be done only in terms of special functions, but now give results in elementary functions. Also in the area of calculus we’ve added various conveniences to the handling of differential equations. But in Version 13.0 Here’s an example: &#10005. In Version 12.3 &#10005.

Construction 67

Construction Computer Physics Accessibility 67

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. In physics, those “topological phenomena” presumably correspond to things like elementary particles , with all their various elaborate symmetries. It’s very much like in the emergence of physical space.

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. In physics, those “topological phenomena” presumably correspond to things like elementary particles , with all their various elaborate symmetries. It’s very much like in the emergence of physical space.

Science 64

Science Sciences Physics Mathematics 64

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. 3 | The Metamodeling of Axiomatic Mathematics.

Mathematics 120

Mathematics Physics Computer Algebra 120

Stephen Wolfram

FEBRUARY 3, 2023

Indeed, the Zeroth Law of thermodynamics is essentially the statement that “statistically unique” equilibrium can be achieved, which in terms of energy becomes a statement that there is a unique notion of temperature. But what if we’re more flexible in what we consider the objective of the demon to be? How do we achieve this?

Computer 92

Computer Energy Physics Construction 92