AI and Math: A Clash of Cultures and a Call for Collaboration
The 2025 Joint Mathematics Meeting highlighted the burgeoning intersection of AI and mathematics, revealing a cultural divide between academic mathematicians and industry AI researchers. Mathematicians prioritize understanding, while AI researchers often focus on results. This difference manifests in contrasting approaches to openness, transparency, and the very nature of proof. The article delves into the essence of mathematics, its culture and values, and explores AI's potential applications in literature management, theorem verification, and other areas. The author argues that AI should augment human mathematical capabilities, not replace human mathematicians, emphasizing the need for mutual respect and collaboration to advance the field.