Chapter 1
The crisis of human brainpower
Chapter 2
Speaking the language of the machines
Chapter 3
When AI joins the research team
Chapter 4
The future of truth and human minds
Ch 2 · Speaking the language of the machines
steve Voevodsky's Univalence Axiom
Equivalent is equal, equivalent is equal, / Computers check the path.
Quiz
In what decade did Appel and Haken publish their computer-assisted proof of the four-color theorem?
Fun Fact
The Four-Color Debate: When the four-color map theorem was proved by computer in 1976, some mathematicians refused to accept it because humans couldn't check it by hand.
Quiz
In which country was the theorem prover Coq, another major tool for formalizing math, originally developed?
Quiz
How many colors are mathematically proven to be sufficient to color any flat map without adjacent regions sharing a color?
Quiz
Which programming language and theorem prover, developed by Microsoft Research, has become highly popular for formalizing math?
Quiz
What is the name of the open-source library that stores formalized mathematics for the Lean theorem prover?
Quiz
Which mathematician initiated the Univalent Foundations project after finding an error in his own work?