Stephen Wolfram
SEPTEMBER 23, 2021
But it really wasn’t physics, or computer science, or math, or biology, or economics, or any known field. The idea not of solving equations, but instead of setting up computational rules that could be explicitly run to represent and reproduce things in the world. What is that science? But at least it would have a home.
PCS Edventures
MARCH 4, 2020
Calculus , which calculates rates of change and infinites. Science, technology, engineering and arts careers often rely upon at least one of these math specializations, so jobs with a math focus are often talked about under the other STEAM categories. (The Algebra , which incorporates unknown variables into arithmetic equations.
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Stephen Wolfram
MARCH 7, 2022
When most working mathematicians do mathematics it seems to be typical for them to reason as if the constructs they’re dealing with (whether they be numbers or sets or whatever) are “real things”. And we can think of that ultimate machine code as operating on things that are in effect just abstract constructs—very much like in mathematics.
Stephen Wolfram
FEBRUARY 14, 2023
It turns out that it’s possible to construct such a function. Later, we’ll talk about how such a function can be constructed, and the idea of neural nets. And the nontrivial scientific fact is that for an image-recognition task like this we now basically know how to construct functions that do this.
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. And it’s one that I think has extremely deep implications—both in science and beyond.
Stephen Wolfram
SEPTEMBER 29, 2023
And if we treat these as equivalent and merge them we now get: (The question of “state equivalence” is a subtle one, that ultimately depends on the operation of the observer, and how the observer constructs their perception of what’s going on. It’s a new kind of fundamentally multiway construct.
Stephen Wolfram
FEBRUARY 3, 2023
But it is only now—with ideas that have emerged from our Physics Project —that I think I can pull all the pieces together and finally be able to construct a proper framework to explain why—and to what extent—the Second Law is true. In some types of rules it’s basically always there , by construction.
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