Algebra Argumentation Computer Science Construction 
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
MARCH 5, 2024
What if all we ever want to know about are things that align with computational reducibility? A lot of science—and technology—has been constructed specifically around computationally reducible phenomena. And that’s for example why things like mathematical formulas have been able to be as successful in science as they have.
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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
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
AUGUST 22, 2023
He was going for what he saw as the big prize: using them to “construct the universe”. “Lick” Licklider —who persuaded Ed to join BBN to “teach them about computers”. He thought of it as a new way of storing textual information in a computer, and he called it “TRIE memory” (after “reTRIEval”). It was all algebra.
Stephen Wolfram
SEPTEMBER 9, 2021
If one looks at the history of theoretical science, I think one can identify just three major modeling paradigms that have been developed over the course of scientific history—each of them leading to dramatic progress. Part of what this achieves is to generalize beyond traditional mathematics the kind of constructs that can appear in models.
Stephen Wolfram
SEPTEMBER 9, 2021
If one looks at the history of theoretical science, I think one can identify just three major modeling paradigms that have been developed over the course of scientific history—each of them leading to dramatic progress. Part of what this achieves is to generalize beyond traditional mathematics the kind of constructs that can appear in models.
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