Packet 7: Bonus 4
Bertrand Russell named this paradox for a junior librarian at Oxford. For 10 points each:
[10h] Name this self-referential paradox. The denotation “the smallest positive integer not definable in under 60 letters” creates this paradox since that phrase denotes a unique number but consists of only 57 letters.
ANSWER: Berry paradox [or Berry’s paradox; accept Richard’s paradox]
[10e] Russell named the Berry paradox in this treatise on the foundations of mathematics, which he co-wrote with Alfred North Whitehead.
ANSWER: Principia Mathematica
[10m] To challenge the idea that all logical paradoxes are self-referential, the Yablo paradox posits a string of sentences with this property, all in the form “all of the subsequent sentences are false.” Truth values comprise a continuous range in [this property]-valued logic.
ANSWER: infinite [or infinity or infinitely-long; accept infinite-valued logic or infinitely-many-valued logic; prompt on many-valued logic]
<Editors, Philosophy> | P. Playoffs 7 (Editors 7)
| Heard | PPB | E % | M % | H % |
|---|---|---|---|---|
| 24 | 10.00 | 100% | 0% | 0% |
Conversion
| Team | Opponent | Part 1 | Part 2 | Part 3 | Total | Parts |
|---|---|---|---|---|---|---|
| British Columbia | MIT | 0 | 10 | 0 | 10 | E |
| Cambridge | WashU | 0 | 10 | 0 | 10 | E |
| Chicago B | Brown | 0 | 10 | 0 | 10 | E |
| Columbia A | Indiana | 0 | 10 | 0 | 10 | E |
| Cornell | Northwestern B | 0 | 10 | 0 | 10 | E |
| Georgetown | North Carolina | 0 | 10 | 0 | 10 | E |
| Georgia Tech B | Michigan | 0 | 10 | 0 | 10 | E |
| Georgia Tech C | Minnesota | 0 | 10 | 0 | 10 | E |
| Illinois A | Toronto B | 0 | 10 | 0 | 10 | E |
| Illinois B | Maryland B | 0 | 10 | 0 | 10 | E |
| Johns Hopkins | Bruin | 0 | 10 | 0 | 10 | E |
| Maryland A | UC Berkeley B | 0 | 10 | 0 | 10 | E |
| Northwestern A | Toronto A | 0 | 10 | 0 | 10 | E |
| Penn State | Ohio State | 0 | 10 | 0 | 10 | E |
| Pittsburgh | Vanderbilt | 0 | 10 | 0 | 10 | E |
| Rutgers | Columbia B | 0 | 10 | 0 | 10 | E |
| Stanford A | NYU A | 0 | 10 | 0 | 10 | E |
| Stanford B | NYU B | 0 | 10 | 0 | 10 | E |
| Swarthmore | Purdue | 0 | 10 | 0 | 10 | E |
| Texas | UCLA | 0 | 10 | 0 | 10 | E |
| UC Berkeley A | Chicago A | 0 | 10 | 0 | 10 | E |
| Virginia | Georgia Tech A | 0 | 10 | 0 | 10 | E |
| Virginia Tech | Harvard | 0 | 10 | 0 | 10 | E |
| Waterloo | UCF | 0 | 10 | 0 | 10 | E |
Summary
| Tournament | Edition | Match | Heard | PPB | E % | M % | H % |
|---|---|---|---|---|---|---|---|
| Main Site | 2026-04-17 | ✓ | 24 | 10.00 | 100% | 0% | 0% |