🔬 Discovery

Berry paradox

Paradoja de Berry

Date
1906 · confidence medium
Place
Oxford, England, United Kingdom
Credited to
Bertrand Russell
Field
Knowledge & symbols

What was discovered

Self-referential paradox arising from the phrase 'the smallest positive integer not definable in under sixty letters', attributed by Bertrand Russell to Oxford librarian G. G. Berry.

What it led to

  • Influence on debates over the foundations of logic and self-reference paradoxes
  • Connection to Richard's paradox and Tarski's undefinability theorem
  • Contribution to early-20th-century set theory and mathematical logic
  • Recurring example in the philosophy of language on definability
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Sources✓ verified 2026-09-28