"It is through science that we prove, but through intuition that we discover"
About this Quote
The intent is quietly polemical. As a mathematician in the late 19th and early 20th century, Poincare watched his field tighten its standards and worship formal proof. He wasn’t anti-proof; he was anti-myth. The subtext is that our public story about knowledge - step-by-step deduction - is a comforting fiction. Real breakthroughs arrive as pattern-sense, aesthetic judgment, and hunch: the mind noticing what “fits” before it can justify why.
Poincare’s phrasing also protects intuition from being dismissed as woo. He doesn’t oppose intuition to science; he assigns each its job. Intuition “discovers” because it roams, recombines, and takes risks without permission. Science “proves” because communities require shared verification; a private flash of insight doesn’t become knowledge until it can survive other people’s skepticism.
There’s an ethical note, too: humility. If discovery depends on intuition, then genius isn’t just superior calculation; it’s sensitivity to structure, plus the willingness to be wrong in public. The line punctures the fantasy that certainty is how we get anywhere new.
Quote Details
| Topic | Science |
|---|---|
| Source | Verified source: Science and Method (Henri Poincare, 1908)
Evidence: For the pure geometer himself, this faculty is necessary; it is by logic one demonstrates, by intuition one invents. (Book II, Chapter II (“Mathematical Definitions and Teaching”), in the 1913 authorized English translation it appears at p. 438 (as printed page number) / [Pg 438] in Project Gutenberg HTML). This is the primary-source wording in Henri Poincaré’s own work (original French: *Science et méthode*, 1908). The commonly-circulated English quote “It is through science that we prove, but through intuition that we discover” appears to be a loose paraphrase/variant of Poincaré’s line (often shifting ‘logic’→‘science’ and ‘invent’→‘discover’). In the authorized English translation by George Bruce Halsted published in *The Foundations of Science* (The Science Press, 1913), the sentence appears in the essay/chapter “Mathematical Definitions and Teaching” and is marked [Pg 438] in the text. Other candidates (1) Wisdom: A Very Valuable Virtue That Cannot Be Bought (Jason A. Merchey, 2022) compilation95.0% ... It is through science that we prove , but through intuition that we discover . " -—Henri Poincaré " Intuition's r... |
| Cite |
Citation Formats
APA Style (7th ed.)
Poincare, Henri. (2026, March 1). It is through science that we prove, but through intuition that we discover. FixQuotes. https://fixquotes.com/quotes/it-is-through-science-that-we-prove-but-through-9896/
Chicago Style
Poincare, Henri. "It is through science that we prove, but through intuition that we discover." FixQuotes. March 1, 2026. https://fixquotes.com/quotes/it-is-through-science-that-we-prove-but-through-9896/.
MLA Style (9th ed.)
"It is through science that we prove, but through intuition that we discover." FixQuotes, 1 Mar. 2026, https://fixquotes.com/quotes/it-is-through-science-that-we-prove-but-through-9896/. Accessed 6 Mar. 2026.




