Argumentation Biology Calculus Sciences 
Robert Talbert, Ph.D.
FEBRUARY 10, 2023
First, I know more computer science and computer programming now than I did in 2007. I’ve taken a MOOC on algorithms and read, in whole or in part, books and articles that contain significant discussions of computer science-y things like time complexity and NP-completeness. Mostly this is because of two things.
Stephen Wolfram
JANUARY 9, 2024
And in the past few months we’ve been steadily adding connections to the full range of popular LLMs, making Wolfram Language a unique hub not only for LLM usage, but also for studying the performance—and science—of LLMs. So did that mean we were “finished” with calculus? And in Version 14 there are significant advances around calculus.
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Stephen Wolfram
JANUARY 31, 2023
Meanwhile, at the beginning of the 1800s Joseph Fourier (1768–1830) (science advisor to Napoleon) developed what became his 1822 Analytical Theory of Heat , and in it he begins by noting that : Heat, like gravity, penetrates every substance of the universe, its rays occupy all parts of space.
Stephen Wolfram
SEPTEMBER 9, 2021
But what I’ve increasingly been realizing is that actually it’s showing us something even bigger and deeper: a whole fundamentally new paradigm for making models and in general for doing theoretical science. But there remained plenty of phenomena—particularly associated with complexity—that this paradigm seemed to have little to say about.
Stephen Wolfram
SEPTEMBER 9, 2021
But what I’ve increasingly been realizing is that actually it’s showing us something even bigger and deeper: a whole fundamentally new paradigm for making models and in general for doing theoretical science. But there remained plenty of phenomena—particularly associated with complexity—that this paradigm seemed to have little to say about.
Stephen Wolfram
NOVEMBER 10, 2021
And it’s one that I think has extremely deep implications—both in science and beyond. The ruliad is an ultimate example of multicomputation, and of what I’ve characterized as the fourth major paradigm for theoretical science. But what about other models of computation—like cellular automata or register machines or lambda calculus?
Stephen Wolfram
FEBRUARY 3, 2023
The Second Law of thermodynamics is considered one of the great general principles of physical science. Sometimes textbooks will gloss over everything; sometimes they’ll give some kind of “common-sense-but-outside-of-physics argument”. Mechanical work irreversibly turns into heat. It almost seems like it’s going to be “provably true”.
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