Part 3/10:
Epoch AI posits that there is a significant gap between the abilities of current LLMs and what is required to grasp nuanced mathematical reasoning. Merely scaling existing models is insufficient; a new paradigm is needed, potentially involving formalised proof assistants or mechanisms that mimic how humans objectively engage with mathematics.
The Nature of Mathematical Challenges
One of the primary obstacles in enhancing AI's mathematical reasoning lies in the originality of math problems. Each is a precisely defined entity where a minor variation can lead to a fundamentally different problem. Thus, even an extensive database of mathematical literature does not fully equip AI to tackle new challenges.