Stephen Wolfram

MARCH 7, 2022

1 Mathematics and Physics Have the Same Foundations. 2 The Underlying Structure of Mathematics and Physics. 3 The Metamodeling of Axiomatic Mathematics. 4 Simple Examples with Mathematical Interpretations. 15 Axiom Systems of Present-Day Mathematics. 21 What Can Human Mathematics Be Like? Graphical Key.

Mathematics 120

Mathematics Physics Computer Algebra 120

Stephen Wolfram

JANUARY 31, 2023

Computational Foundations for the Second Law of Thermodynamics (forthcoming) 2. But by the end of the 1800s, with the existence of molecules increasingly firmly established, the Second Law began to often be treated as an almost-mathematically-proven necessary law of physics. This is part 3 in a 3-part series about the Second Law: 1.

Energy 88

Energy Physics Argumentation Mathematics 88

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. And it’s one that I think has extremely deep implications—both in science and beyond. (And—it The full ruliad is in effect a representation of all possible computations.

Physics 122

Physics Mathematics Computer Construction 122

Stephen Wolfram

FEBRUARY 2, 2023

Computational Foundations for the Second Law of Thermodynamics (forthcoming) 2. But it wasn’t long before I started hearing mentions that somewhere at the school there was a computer. I’d seen a computer in real life only once—when I was 10 years old, and from a distance. How Did We Get Here?

Physics 95

Physics Computer Mathematics Science 95