Episode 3 · Professor M. Ram Murty
Mathematics, AI & the Nature of Reality
An exploration of prime numbers, mathematical truth, artificial intelligence, philosophy, and how we learn to think.
Course designed by Akshat Bhaskar.
This classroom page expands on ideas from the Episode 3 conversation with Professor M. Ram Murty, a number theorist whose work reaches from the distribution of prime numbers to the philosophy of mathematics.
The episode ranges widely: what primes are and why their pattern is still mysterious, whether mathematics is discovered or invented, what artificial intelligence can and cannot do in mathematical research, and why uninterrupted thinking still matters. The resources below take those threads and turn each one into something you can learn from, think with, explore further, or teach.
LEARN
Student-friendly explainers.
- LEARNExplainer
Prime Numbers 101
A beginner-friendly introduction to prime numbers, why they matter, and why mathematicians are still fascinated by their distribution.
Beginner9 min read
- LEARNEssay
Can Mathematics Describe Reality?
Why does mathematics describe the physical universe so remarkably well?
Intermediate10 min read
THINK
Questions, thought experiments, and challenges.
EXPLORE
Reading lists and further resources.
- EXPLORETimeline
India's Mathematical Heritage
A concise timeline of ideas from a long mathematical tradition, from Pingala to the present.
Beginner6 min read
- EXPLOREReading list
Mathematics & Philosophy: A Reading List
A curated path through the ideas in this episode, from accessible introductions to serious challenges.
All levelsCurated list
TEACH
Worksheets and classroom-friendly materials.