“Erdos problem #728 was solved more or less autonomously by AI” (mathstodon.xyz)

Article summary

A mathematical problem, Erdos problem #728, was solved with the help of AI, demonstrating the potential of AI in mathematics. The solution was found through the reconfiguration of existing proofs, which can be done at superhuman speeds by AI. This achievement has sparked a discussion about the role of AI in mathematics and its potential to unlock new capabilities. The exact details of the solution are not available, but the discussion revolves around the implications of AI in mathematics.

Main themes

• AI in mathematics
• Automated proof verification
• Mathematical discovery
• Collaboration between humans and AI
• Limitations of human intelligence

What commenters say

• The use of AI in mathematics can lead to breakthroughs by reconfiguring existing proofs and unlocking new capabilities.
• The replacement of traditional mathematical constants, such as pi, with alternative values, like tau, may lead to new insights and perspectives.
• Some argue that AI-generated proofs can be opaque and lack intelligibility, limiting their usefulness and understanding.
• Others believe that AI can assist in creating formal proofs, such as Lean proofs, which can be verified and provide a foundation for further research.
• The collaboration between humans and AI can lead to significant advancements in mathematics, but also raises concerns about the limitations of human intelligence and the potential for AI to surpass human capabilities.
• The discussion around AI in mathematics is not about achieving artificial general intelligence, but rather about using narrow AI to solve specific problems in a specialized domain.
• The use of AI in mathematics can also highlight the importance of documentation and the need for transparent and reproducible research.
• Some commentators are skeptical about the potential of AI to revolutionize mathematics, citing the complexity of the field and the need for human intuition and insight.