What Survives the Notation
Bertrand Russell's hardest books are written in symbols almost no one uses now. Three of them, read three different ways, and the thinkers who broke and rebuilt his work show what a reader keeps once the notation is gone.
Two True Things About Norbert Wiener
Norbert Wiener's theory of feedback grew out of aiming guns at aircraft. A signed essay holds both facts: the idea is true, and its origin is hard to look at.
The Sentence Outside the System
Is understanding just computation with more steps? Roger Penrose says no, and his case runs through Gödel. The weakest point in it comes first.
The Physicist Who Asks What Can’t Happen
The physicist who asks what can’t happen, and why a seed is the best place to ask it.
What Synergetics Explains, and What It Only Describes
Hermann Haken built a mathematics of self-organization out of laser physics, and it works. It also expanded into psychology, medicine, and city planning, and a Nobel laureate said in print that the whole field had no theory underneath it. Nobody ever really answered him. This magazine runs on Haken's idea anyway, so here is the case against it first.