Automated Theory Formation in Pure Mathematics

Automated theory formation in mathematics is explored through the innovative HR system, developed by Dr. Simon Colton. This groundbreaking work automates complex tasks like creating new concepts, generating examples, making conjectures, and proving theorems, building on two decades of research. By utilizing various mathematical software tools, HR effectively constructs theories from minimal information. Notably, it has achieved significant milestones in mathematical discovery, including the invention of 20 new number types recognized in the Encyclopaedia of Integer Sequences.