"But it is impossible to divide a cube into two cubes, or a fourth power into fourth powers, or generally any power beyond the square into like powers; of this I have found a remarkable demonstration. This margin is too narrow to contain it"
About this Quote
The specific intent is practical and performative at once. Fermat is annotating his copy of Diophantus, jotting down a result he believes he has nailed. But the subtext is status. In the 17th-century Republic of Letters, where mathematicians dueled by correspondence and results were social capital, claiming a proof without giving it is both a flex and a challenge: catch me if I'm wrong, admire me if I'm right. The "margin is too narrow" line reads like false modesty, yet it also hints at a real constraint: early modern mathematics still lacked the conceptual toolkit later generations would need.
Context sharpens the irony. Fermat wasn't a professional mathematician; he was a magistrate, doing number theory after hours. That outsider position made the note feel like a casual aside, which only deepened the sting when it became clear that no one could reconstruct his "remarkable demonstration". The sentence works because it turns absence into fuel: an argument that launches itself by refusing to be argued with.
Quote Details
| Topic | Knowledge |
|---|---|
| Source | Pierre de Fermat — marginal note in his copy of Diophantus' Arithmetica (Bachet ed., 1621). English translation: 'But it is impossible to divide a cube into two cubes... this margin is too narrow to contain it.' |
| Cite |
Citation Formats
APA Style (7th ed.)
Fermat, Pierre de. (2026, January 17). But it is impossible to divide a cube into two cubes, or a fourth power into fourth powers, or generally any power beyond the square into like powers; of this I have found a remarkable demonstration. This margin is too narrow to contain it. FixQuotes. https://fixquotes.com/quotes/but-it-is-impossible-to-divide-a-cube-into-two-64102/
Chicago Style
Fermat, Pierre de. "But it is impossible to divide a cube into two cubes, or a fourth power into fourth powers, or generally any power beyond the square into like powers; of this I have found a remarkable demonstration. This margin is too narrow to contain it." FixQuotes. January 17, 2026. https://fixquotes.com/quotes/but-it-is-impossible-to-divide-a-cube-into-two-64102/.
MLA Style (9th ed.)
"But it is impossible to divide a cube into two cubes, or a fourth power into fourth powers, or generally any power beyond the square into like powers; of this I have found a remarkable demonstration. This margin is too narrow to contain it." FixQuotes, 17 Jan. 2026, https://fixquotes.com/quotes/but-it-is-impossible-to-divide-a-cube-into-two-64102/. Accessed 12 Feb. 2026.





