Stephen Wolfram

JANUARY 31, 2023

But, first and foremost, the story of the Second Law is the story of a great intellectual achievement of the mid-19th century. There’s a discussion about H for systems that interact, and how there’s an equilibrium value achieved. It’s exciting now, of course, to be able to use the latest 21st-century ideas to take another step.

Energy 88

Energy Physics Argumentation Mathematics 88

Stephen Wolfram

NOVEMBER 10, 2021

For integers, the obvious notion of equivalence is numerical equality. Then (by the assumed properties of equality) it follows that. But what about other models of computation—like cellular automata or register machines or lambda calculus? And this is where our pieces of “falsifiable natural science” come in.

Physics 122

Physics Mathematics Computer Construction 122

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. &#10005.

Mathematics 120

Mathematics Physics Computer Algebra 120