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 4 · The future of truth and human minds
steve Limits of Machine Proof
No matter how deep the code, some truths will always escape the proof.
Glossary
formalization (noun)
The action of giving something a definite, structured, or official form. In 2026, advanced AI systems achieved a complete formalization of Andrew Wiles's proof of Fermat's Last Theorem.
The action of giving something a definite, structured, or official form. In 2026, advanced AI systems achieved a complete formalization of Andrew Wiles's proof of Fermat's Last Theorem.
Fun Fact
Gödel's Limit: Kurt Gödel proved in 1931 that some mathematical truths are forever unprovable, meaning even the smartest AI has limits.
Quiz
What do we call a proven mathematical statement that serves as a stepping stone to a larger theorem?
Quiz
What word is often used by mathematicians to describe a proof that is remarkably simple, direct, and clever?
Quiz
What term describes making a field accessible to everyone regardless of their background or institution?
Quiz
What is the name of Kurt Gödel's famous 1931 theorems about the limits of formal mathematical systems?
Quiz
Which Austrian mathematician proved that some mathematical truths can never be proven?
Quiz
Which eccentric Hungarian mathematician famously spoke of 'The Book' containing the most beautiful mathematical proofs?
Quiz
Which online platform hosts the open-source code for Mathlib, allowing global collaboration?