Grant Sanderson – AI and the future of math
Dwarkesh Podcast
Jun 30
Grant Sanderson – AI and the future of math
Grant Sanderson – AI and the future of math

Dwarkesh Podcast
Jun 30
This podcast features a conversation with Grant Sanderson, exploring the rapid progress of AI in mathematics and what it reveals about the future of AI in other fields. The discussion delves into the nature of mathematical breakthroughs, the potential for AI to make incomprehensible discoveries, and the shifting role of human mathematicians.
The conversation highlights that AI's success in math is driven by verifiability and the ability to run many parallel attempts, unlike real-world tasks. While AI can brute-force geometry problems, it struggles with combinatorics and conceptual breakthroughs that lack clear benchmarks. The discussion examines whether AI could solve problems like the Riemann hypothesis by connecting disparate fields, but notes that such proofs might be incomprehensible to humans, requiring years to verify. Grant Sanderson argues that great mathematicians are also great explainers, suggesting AI might similarly excel at both discovery and explanation. However, AI currently lacks theory of mind, which is crucial for good writing and teaching. The speakers conclude that human curation and the relational nature of teaching will remain important, even as AI's mathematical insights become increasingly disconnected from practical applications.
10:10
10:10
It's not going to be a benchmark score.
11:33
11:33
AI struggles with tasks that lack clear benchmarks.
31:42
31:42
Clear explanation correlates with genuine insight
48:09
48:09
AI's advantage lies in systematically refreshing thinking
58:57
58:57
Lean could enable endless automated exploration
1:09:24
1:09:24
LLMs lack the ability to generate novel insights
1:16:07
1:16:07
Choose the teacher, not the subject.