All Lean Books and Where to Find Them

kept by eddie may 29

A personal guide lists and reviews nine Lean 4 books, offering subjective opinions and suggested learning paths.

Human mathematicians are being outcounterexampled
AI tools have rapidly generated and formalized counterexamples to longstanding conjectures such as Erdős’ unit distance, Grothendieck’s group scheme problem, and the Jacobian conjecture, showing machines now out‑counterexample humans.
also on Mathlib, Lean, #research, #open-source, #developer-tools
How Terry Tao Became an Evangelist for AI in Math
Terry Tao champions combining human insight, AI, and the Lean proof assistant to enable massive, verified mathematical collaborations.
also on Mathlib, Lean, #open-source
They Spent Years on a Math Problem. Then They Were Scooped by A.I.
An AI system called Gauss completed a mathematical proof formalization in five days, outpacing a human team that had worked for two years, raising concerns about the future role of mathematicians.
also on Lean, #research
When the Hard Part Stops Being Hard
Using an LLM to mechanize proofs in Lean cut months of work to weeks, showing that PL research can now be produced far faster, reshaping publication expectations.
also on Lean, #programming-languages, #developer-tools