#ai #mathematics
Paul Erdős proposed numerous open problems.
Erdős Problem #124OPEN This is open, and cannot be resolved with a finite computation., http://www.erdosproblems.com
Aristotle by Harmonic verified with Lean proved the above Erdos problem, known as problem number 124.
Harmonic AI is an AI startup aiming to create AI in Mathematics and Theorem Proving, with the aim of leading to mathematical AGI.
The company Harmonic was co-founded by Tudor Achim and Vlad Tenev in 2023. They called this news as “vibe proving” — where AI-driven proofs discovery with researchers are machine-verified.
The beta version of Harmonic’s AI chatbot app, Aristotle, is doing great work. This chatbot is providing and deriving answers to mathematical and quantitative reasoning problems.
This breakthrough is a push toward mathematical artificial intelligence, in which proofs are generated and verified intelligently by AI and human researchers.
Lean by Microsoft started in 2013 as an open-source platform that provides a proof assistant for developing correct, maintainable, and formally verified concepts and is based on functional programming.
These tools can help researchers accomplish more, but we must acknowledge AI’s role in this. If we criticize young AI for minor mistakes, we should also give it credit.
Mathematical AI aims to provide a Mathematical intelligence capable of correct reasoning. In the coming future, we must work with human mathematical researchers on complex problems, solving problems, and moving ahead.
What is wrong in proving with AI?
However, with each AI contribution, AI must also thank all Professors whoes work AI reads day and night.
To a world where Mathematics papers would name AI models as co-authors!
Humans and AI work together to build better worlds.
Aristotle AI chatbot by Harmonic solve complex math and reasoning problems and verify the solutions using Lean 4.
In summary, this is an AI top news. We are heading towards artificial intelligence in Theorem Proving and Reasoning. We must understand that we must pay tribute to any contribution AI makes, with identification as a model name and its instantiation number used to produce the results.
However, with each AI contribution, AI must also thank all Professors whoes work AI reads day and night.
To a world where Mathematics papers would name AI models as co-authors!
Humans and AI work together to build better worlds.
References
Artificial Intelligence, Computer Science & Mathematics 