PCS Edventures

MARCH 4, 2020

Algebra , which incorporates unknown variables into arithmetic equations. Calculus , which calculates rates of change and infinites. To make math resonate with your elementary school learners, check out BrickLAB: Famous Architecture. Geometry , which studies the measurements and properties of shapes.

Mathematics 52

Mathematics Energy Architecture Government 52

Stephen Wolfram

MARCH 23, 2023

But then mathematical notation was invented, and math took off—with the development of algebra, calculus, and eventually all the various mathematical sciences. And when I was writing my book An Elementary Introduction to the Wolfram Language this became particularly obvious. But what about from the ChatGPT side?

Computer 145

Computer Mathematics Math Achievement 145

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”.

Physics 64

Physics Science Sciences Mathematics 64

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”.

Science 64

Science Sciences Physics Mathematics 64

Stephen Wolfram

AUGUST 22, 2023

It didn’t help that his knowledge of physics was at best spotty (and, for example, I don’t think he ever really learned calculus). Then McCarthy started to explain ways a computer could do algebra. It was all algebra. And Minsky mentioned work a student of his was doing on the “AI problem” of symbolic integration.

Computer 67

Computer Physics Science Sciences 67

Stephen Wolfram

NOVEMBER 10, 2021

For example, we know (as I discovered in 2000) that (( b · c ) · a ) · ( b · (( b · a ) · b )) = a is the minimal axiom system for Boolean algebra , because FindEquationalProof finds a path that proves it. But what about other models of computation—like cellular automata or register machines or lambda calculus?

Physics 121

Physics Mathematics Computer Construction 121