"It's fine to work on any problem, so long as it generates interesting mathematics along the way - even if you don't solve it at the end of the day"
About this Quote
Perfectionism is the quiet villain in most mathematical lives, and Wiles is offering a pragmatic antidote: treat “solving the problem” as a bonus, not the only justification for the work. Coming from the man who cracked Fermat’s Last Theorem after years of near-monastic secrecy, the line reads less like consolation and more like a reframing of what counts as success. Wiles knows the public myth of mathematics: a lone genius reaches the summit and plants a flag. His sentence drags the camera back down the mountain, to the scree fields of false starts and side trails where the real terrain gets mapped.
The phrase “interesting mathematics along the way” is doing the heavy lifting. It’s a value system disguised as permission. “Interesting” isn’t merely aesthetic; it’s communal. Interesting results are publishable, reusable, legible to others. The subtext is a defense of research that looks, from the outside, like meandering. He’s arguing that mathematical labor should be judged by the structures it builds - techniques, lemmas, connections between areas - not just by whether it closes a case file.
Context matters: Wiles’s own journey involved a catastrophic break (his initial proof collapsed) followed by a rescue that hinged on new ideas. So the quote also encodes a survival strategy. If you tie your worth to the final theorem, one gap can annihilate you. If you tie it to the math you generate, even failure becomes productive. It’s an ethic that keeps ambition intact while stripping it of its most self-destructive deadline: “the end of the day.”
The phrase “interesting mathematics along the way” is doing the heavy lifting. It’s a value system disguised as permission. “Interesting” isn’t merely aesthetic; it’s communal. Interesting results are publishable, reusable, legible to others. The subtext is a defense of research that looks, from the outside, like meandering. He’s arguing that mathematical labor should be judged by the structures it builds - techniques, lemmas, connections between areas - not just by whether it closes a case file.
Context matters: Wiles’s own journey involved a catastrophic break (his initial proof collapsed) followed by a rescue that hinged on new ideas. So the quote also encodes a survival strategy. If you tie your worth to the final theorem, one gap can annihilate you. If you tie it to the math you generate, even failure becomes productive. It’s an ethic that keeps ambition intact while stripping it of its most self-destructive deadline: “the end of the day.”
Quote Details
| Topic | Learning |
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