"Mathematics is a game played according to certain simple rules with meaningless marks on paper"
About this Quote
The subtext is both defensive and imperial. Defensive, because the foundations of mathematics were wobbling under paradoxes and rival philosophies (logicism, intuitionism). Calling math a “game” lowers the temperature: paradox becomes a bug in the rulebook, not a crisis of reality. Imperial, because Hilbert is also asserting control. If mathematics is rule-governed symbol play, then the mathematician is less a mystic than a legislator: define axioms, police derivations, standardize proof.
“Simple rules” is the real flex. Hilbert knew the rules aren’t simple in practice; they’re simple in principle, meaning formalizable, checkable, mechanizable. That anticipates the modern obsession with rigor and the later dream of automated proof, even as Godel would puncture Hilbert’s grander program by showing that no sufficiently powerful system can prove its own consistency from within.
The phrase “meaningless marks” isn’t nihilism; it’s a tactical bracketing of meaning. Hilbert is reminding us that mathematical certainty comes from structure, not interpretation - and that’s why mathematics can travel so well across cultures, applications, and even machines.
Quote Details
| Topic | Reason & Logic |
|---|---|
| Source | Later attribution: The Foundations of Mathematics (Thomas Q. Sibley, 2008) modern compilationISBN: 9780470085011 · ID: 7_p1yjHr4E0C
Evidence:
... Mathematics is a game played according to certain simple rules with meaningless marks on paper . " -David Hilbert ( 1862-1943 ) Formalism developed along with metamathematics and the attempt to prove the absolute consistency of ... |
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APA Style (7th ed.)
Hilbert, David. (2026, February 8). Mathematics is a game played according to certain simple rules with meaningless marks on paper. FixQuotes. https://fixquotes.com/quotes/mathematics-is-a-game-played-according-to-certain-50981/
Chicago Style
Hilbert, David. "Mathematics is a game played according to certain simple rules with meaningless marks on paper." FixQuotes. February 8, 2026. https://fixquotes.com/quotes/mathematics-is-a-game-played-according-to-certain-50981/.
MLA Style (9th ed.)
"Mathematics is a game played according to certain simple rules with meaningless marks on paper." FixQuotes, 8 Feb. 2026, https://fixquotes.com/quotes/mathematics-is-a-game-played-according-to-certain-50981/. Accessed 13 Feb. 2026.






