How to Formalize All of Mathematics

Leading mathematicians express cautious optimism about AI's role in formalizing mathematics, but warn against rushing to formalize everything quickly without proper coordination and quality control. They argue that formal artifacts are only valuable if they are actually used by mathematicians for further discovery and exploration, not merely as proofs of already-established theorems, and that poorly executed large-scale formalization efforts could waste resources or cause lasting damage to the field. The authors advocate for a thoughtful, well-executed approach where formalization enhances mathematical understanding and enables new insights rather than serving as an end in itself.