Mathematical induction is a method of mathematical proof typically used to establish that a given statement is true of all natural numbers. The method can be extended to prove statements about more ...

A series of recent research papers have shown that ChatGPT and related large language models can produce original, verifiable mathematical proofs, including solutions to problems that had not been ...

New computer tools have the potential to revolutionize the practice of mathematics by providing far more-reliable proofs of mathematical results than have ever been possible in the history of ...

Metamathematics investigates the structure and limitations of mathematical theories, with proof theory focusing on the nature of formal proofs and the principles that govern them. In the context of ...