Stephen Wolfram

SEPTEMBER 9, 2021

In physics, those “topological phenomena” presumably correspond to things like elementary particles , with all their various elaborate symmetries. Ultimately one wants to see how the structure and behavior of the system can be broken down into elementary “tokens” and “events”. One is so-called Böhm trees.

Physics 65

Physics Science Sciences Mathematics 65

Stephen Wolfram

SEPTEMBER 9, 2021

In physics, those “topological phenomena” presumably correspond to things like elementary particles , with all their various elaborate symmetries. Ultimately one wants to see how the structure and behavior of the system can be broken down into elementary “tokens” and “events”. One is so-called Böhm trees.

Science 64

Science Sciences Physics Mathematics 64

Stephen Wolfram

MARCH 7, 2022

From a computer science perspective, we can think of it as being like a type hierarchy. One might have thought that theorems involving “more sophisticated concepts” (like Ramsey’s theorem ) would appear later than “more elementary” ones (like the sum of angles of a triangle).

Mathematics 120

Mathematics Physics Computer Algebra 120

Stephen Wolfram

FEBRUARY 3, 2023

Once one has the idea of “equilibrium”, one can then start to think of its properties as purely being functions of certain parameters—and this opens up all sorts of calculus-based mathematical opportunities. But what if we’re more flexible in what we consider the objective of the demon to be?

Computer 92

Computer Energy Physics Construction 92