David Bessis on AI destroying mathematics
5 hours ago
- #future of research
- #mathematical philosophy
- #AI and mathematics
- The article discusses the impact of AI on mathematics, arguing that AI's focus on theorem-proving risks undermining the true value of math, which lies in clarity, understanding, and concept-building.
- It contrasts 'official math' (formal theorem-proving) with 'secret math' (intuition, concept-building, and human understanding), highlighting how the mathematical community's honor code prioritizes theorems over deeper cognitive insights.
- AI's ability to solve mathematical problems, such as those in the First Proof project, is noted, but caveats include that AI-generated proofs are often unintelligible, non-accretive to human knowledge, and may exploit the 'Overhang' (latent connections in existing literature).
- Concerns are raised that AI could 'demonetize' mathematicians by automating theorem-proving, while the core value of math—enhancing human thought and neuroplasticity—remains undervalued and at risk in public perception.
- The author calls for a reevaluation of mathematics' narrative, emphasizing intelligibility and concept-building over problem-solving, and suggests creating a 'Mathematical Intelligence Scale' to fairly assess AI's role without devaluing human contributions.
- Long-term, AI may transform math into a tool-assisted discipline, but the need for human intuition, teaching, and philosophy persists to prevent a decline in mathematical understanding and its cognitive benefits.