The self-taught clerk from Madras whose notebooks astonished Cambridge — and who leaves us asking where great ideas actually come from.
This is a talking lesson, not a reading one. So before a single fact, the floor is yours.
Just his name and one number: 1729. Have you heard of Ramanujan — perhaps from the film The Man Who Knew Infinity, or from a maths teacher? Do you think genius is mostly born or mostly made? Just talk — no maths needed.
Three short beats. After each one, you do the talking.
Srinivasa Ramanujan was born on 22 December 1887 in Erode, in southern India, and grew up in the town of Kumbakonam. His father was a clerk in a sari shop. In 1903, aged 16, he got hold of a library copy of G. S. Carr's Synopsis, a collection of about 5,000 mathematical results. He won a scholarship to college — and then lost it, because he was so absorbed in mathematics that he failed most of his other subjects.
By 1912 he was working as a clerk at the Madras Port Trust, doing mathematics in his spare time. He wrote to leading mathematicians at Cambridge. Two of them sent his papers back without comment. On 16 January 1913 he wrote to G. H. Hardy: “I have no University education but I have undergone the ordinary school course… I am striking out a new path for myself.” Hardy at first suspected a fraud. Then he looked more closely: some of the results, he said, “defeated me completely; I had never seen anything in the least like them before”.
He sailed for England on 17 March 1914 and spent nearly five years in Cambridge working with Hardy and J. E. Littlewood. In 1918 he was elected a Fellow of the Royal Society — only the second Indian, and one of the youngest Fellows in its history — and the first Indian Fellow of Trinity College. But he was seriously ill. He returned to India in 1919 and died on 26 April 1920, aged 32. His illness was diagnosed at the time as tuberculosis; a 1994 study suggested it was more likely a liver infection, hepatic amoebiasis.
Ramanujan's story raises one big question: how do we know something is true? I will hand it to you in small pieces. After each piece, you talk — I will mostly listen.
Ramanujan filled notebooks with nearly 3,900 results — mostly identities and equations — but he rarely wrote down how he got them. Paper was expensive, so he did much of his working on a slate and copied only the final results. Carr's book, which shaped him, also stated results without proofs. Many of his results turned out to be completely new. Some were already known. A few were wrong.
Imagine you are Hardy. A stranger sends you nine pages of astonishing claims with almost no explanations. Some look impossible. What do you do — and what would make you take him seriously?
For Hardy — an atheist and, in Wikipedia's phrase, “an apostle of proof and mathematical rigour” — a result without a proof was not yet mathematics. Ramanujan relied strongly on intuition. He credited his insight to his family goddess, Namagiri, and an acquaintance later reported him saying, “an equation has no meaning for me unless it expresses a thought of God.” Hardy thought Ramanujan's religious belief had been romanticised; the mathematician Bruce Berndt insists there was nothing mystical about his method — the work is all recorded in his notebooks.
Hardy left one famous story. He visited Ramanujan, who was ill in Putney, and remarked that his taxi's number, 1729, seemed “rather a dull one”. “No,” Ramanujan replied, “it is a very interesting number; it is the smallest number expressible as the sum of two cubes in two different ways.” (1729 = 1³ + 12³ = 9³ + 10³.) Hardy said Littlewood once remarked that every positive integer was one of Ramanujan's personal friends.
The question his life leaves us is not whether intuition or proof matters more — it is how many intuitions never find their Hardy.
“A brilliant idea is worthless until someone can prove it.” Argue for it or against it — with real examples from science, business, medicine or art. Build your case, then I will push back and you defend it.
You don't need to follow the mathematics to follow the story. Glance at these, then tell me which one you find most interesting, and why.
| Work | What it is | The idea underneath |
|---|---|---|
| Carr's Synopsis | A book of about 5,000 results he studied as a teenager. | Learning from results without proofs — which may have shaped how he worked. |
| The letter to Hardy (1913) | Nine pages of results sent by an unknown clerk. | Recognition depends on someone being willing to look. |
| The notebooks | Nearly 3,900 results, mostly without derivations. | Mathematicians spent decades proving what he had written down. |
| The “lost notebook” | A notebook from the last year of his life, rediscovered in 1976. | His ideas were still producing surprises more than fifty years after his death. |
Ten words you need to discuss Ramanujan properly — and that work just as well for any serious conversation about talent, knowledge and recognition. Tap to reveal the meaning and an example.
Pick any five of these words and say five full sentences about Ramanujan or about talent and recognition in your own world — out loud, right now. Don't move on until all five are used.
This whole lesson is you doing the talking. These are the moves that let you speculate, hedge and push back like a C1 speaker — not just "I think" every time.
I'll make a bold claim — “The story of the lone genius is a myth; Ramanujan only mattered because Cambridge made him matter.” Answer me using at least one phrase from each box above: first speculate, then take a position, then complicate it. Keep going until you've used all three.
Reach for these instead of “shows” or “says” when you describe Ramanujan's work.
1. Ramanujan ____ results that would take other mathematicians decades to prove.
2. His letter ____ Hardy, who had never seen anything like it.
3. He ____ the usual path into academic mathematics: no degree, no supervisor, no proofs.
4. Hardy's job was partly to ____ Ramanujan's ideas into proofs the world would accept.
1. glimpses / anticipates / conjectures
2. astonishes / astonished
3. defies / defied
4. formalise
These are not the only correct answers — defend your choice if it works.
These are Ramanujan's questions, handed to you. The timer is on your side: it stops you finishing in ten seconds and forces you to develop the idea. Use the speculating and position-taking phrases from the last tab, and at least one of the idea-verbs.
You run hiring at a top company or university. An application arrives from someone with no degree, no references and an unusual format — but the work inside looks either brilliant or crazy.
Argue one side: should gatekeepers take the time to check unusual applications, even if 99 out of 100 are nonsense? Build a real case — give your reasons, raise the strongest objection to your own view, then answer it.
Ramanujan often knew a result was true before he could show why. Today, AI systems and experienced doctors sometimes give answers they cannot fully explain.
Should we act on a result we trust but cannot explain — and who should carry the risk if it's wrong? Make the case with one concrete example.
Your turn. Describe something you are sure is true but cannot prove — about people, your work, your city, anything.
Explain why you believe it, then tell me what evidence would convince a sceptical “Hardy”. I will then push back as Hardy, and you defend it.
You introduced me to Ramanujan, so you get the last word. Pick the questions that grab you — there are no model answers here.
Finish this, out loud, in a single well-built sentence — and use one idea-verb and one speculating phrase from Tab 2:
"What Ramanujan really does, I think, is…"