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Mereology (“mee-ree-ology”) unproblematically incorporates an analogue of these objects’ rule of unrestricted comprehension, which was originally called Basic Law V (“five”). Type theory was developed to resolve a paradox about these objects, which is often compared to a barber who can’t shave himself. Gottlob Frege (“FRAY-guh”) defined numbers as these objects, which is also done in Zermelo-Frankel theory. The naïve theory of these objects is subject to Russell’s paradox, which concerns one of these objects containing all of these objects that do not contain themselves. De Morgan’s laws axiomatize the union and intersection operations on these objects. For 10 points, name these unordered collections of objects. ■END■
| Upstate NY | Main | Y | 5 | 80% | 0% | 40% | 72.50 |
| Southern California | Main | Y | 7 | 100% | 0% | 14% | 48.29 |
| Eastern Canada (1) | Main | Y | 5 | 100% | 0% | 20% | 65.00 |
| Eastern Canada (2) | Main | Y | 9 | 100% | 0% | 11% | 61.78 |
| Florida | Main | Y | 4 | 100% | 0% | 0% | 58.75 |
| Great Lakes | Main | Y | 12 | 100% | 0% | 17% | 65.92 |
| Lower Mid-Atlantic | Main | Y | 9 | 100% | 0% | 11% | 76.22 |
| Upper Mid-Atlantic | Main | Y | 2 | 100% | 0% | 50% | 80.00 |
| Midwest | Main | Y | 9 | 100% | 0% | 0% | 53.78 |
| North | Main | Y | 4 | 100% | 0% | 25% | 63.25 |
| Northeast | Main | Y | 10 | 100% | 0% | 20% | 70.90 |
| Pacific | Main | Y | 8 | 100% | 0% | 0% | 62.88 |
| South Central | Main | Y | 7 | 100% | 0% | 0% | 69.57 |
| Southeast | Main | Y | 13 | 100% | 0% | 23% | 74.69 |
| Northern California | Main | Y | 4 | 100% | 0% | 25% | 72.50 |
| UK (South) | UK | Y | 8 | 100% | 0% | 0% | 56.88 |
| UK (North) | UK | Y | 5 | 100% | 0% | 20% | 74.40 |
| Player | Team | Opponent | Buzz Position | Value |
|---|---|---|---|---|
| Jiping Fang | Illinois Blue | Illinois Champaign | 8 | 10 |
| Rishi Mathur | Claremont B | Claremont A | 11 | 10 |
| Oliver West | Cambridge B | Cardiff | 14 | 10 |
| Nate Brown | CWRU C | Ohio State C | 16 | 10 |
| Kevin Zheng | Michigan A | CWRU A | 20 | 10 |
| Bolun Thompson | UCLA C | UCSD B | 26 | 10 |
| June Miller | Florida A | Florida B | 29 | 10 |
| Oliver Thompson | CWRU D | Ohio State B | 29 | 10 |
| Connor King | St. Thomas | Wisconsin A | 29 | 10 |
| Eric Lipsutz | Chicago B | Illinois Urbana | 31 | 10 |
| Charlie Ruff | McGill A | McGill B | 36 | 10 |
| Vijay Hans | Berkeley Boss Bandit | Berkeley Mighty Miner | 40 | 10 |
| Lorie Au-Yeung | UCSC | Berkeley Skeleton King | 40 | -5 |
| Michael Xu | McMaster B | Toronto E | 40 | 10 |
| Dawson Teu | Waterloo A | Toronto D | 40 | 10 |
| Aleksa Misic | Waterloo B | Waterloo C | 40 | 10 |
| Micah Lauzon | Dartmouth B | Brown B | 40 | 10 |
| William Kiker | Dartmouth A | Vermont B | 40 | -5 |
| Liam Markland | Alberta A | Washington Steelhead | 40 | 10 |
| Skand Parvatikar | Arizona State B | Washington Coho | 40 | 10 |
| Nishad Joshi | Kentucky | Louisville D | 40 | -5 |
| Bharath Ram | Georgia Tech A | Tennessee A | 40 | 10 |
| March Delfin | UCSD A | UC Santa Barbara | 40 | 10 |
| Andrew Nucci | UCLA B | UCLA D | 40 | 10 |
| Michael Zheng | UCLA F | UC Irvine | 40 | -5 |
| Brian Qian | Illinois Canada | Indiana A | 40 | 10 |
| Jacob Chambers | Iowa State | Macalester | 40 | 10 |
| Luke Sauer | Michigan Tech | Wisconsin B | 40 | -5 |
| Surya Dinesh | MIT A | Boston College A | 40 | 10 |
| Dan Millington | Birmingham | Southampton | 40 | 10 |
| Aaron Wang | Cornell A | ESF | 40 | 10 |
| Peyton Legg | UCF A | Florida Tech A | 41 | 10 |
| Cas Fidel | Tulsa A | Nebraska A | 41 | 10 |
| Nghia Khau | VCU A | UNC B | 41 | 10 |
| Valerie Brown | Carleton B | Carleton A | 41 | 10 |
| Anirudh Terdal | LSE | Imperial C | 41 | 10 |
| Gabriel Nell | Cornell B | Binghamton C | 41 | -5 |
| Violet Page | Binghamton C | Cornell B | 41 | 0 |
| Danny Cutbill | RIT A | Cornell C | 41 | -5 |
| Andrew Park | Harvard | Williams C | 42 | -5 |
| James Haddix | Washington State | Arizona State A | 42 | 10 |
| Buck Muhlbauer | Nebraska B | Central Oklahoma A | 42 | 10 |
| Tobias Zajac | Michigan State C | WVU A | 42 | -5 |
| Daniel Huang | Georgia Tech D | Montevallo | 42 | 10 |
| Abhay Ariyapappillil | Ottawa B | McGill C | 42 | -5 |
| Kevin Liu | Maryland A | George Mason A | 42 | -5 |
| Arthur Zhang | Purdue C | Purdue A | 42 | 10 |
| Darren Kellis | Vanderbilt A | South Carolina A | 45 | -5 |
| Jonas Cross | Tennessee Tech | Georgia A | 47 | -5 |
| Tal Bowen | Durham A | Edinburgh A | 47 | -5 |
| Zachary Bornstein | Virginia Tech A | Virginia Tech B | 48 | 10 |
| Eames Weeks | Brown A | Amherst A | 53 | 10 |
| Caleb Houston | Tulsa B | Harding | 53 | 10 |
| Coy Mier | Auburn B | Auburn A | 53 | 10 |
| Justin Fountain | Clemson C | Clemson B | 53 | -5 |
| Shivam Saxena | Georgia Tech F | Georgia Tech B | 53 | 10 |
| Pen Hughes | Edinburgh C | Durham C | 53 | 10 |
| Chris Chang | USC A | UCLA A | 53 | 10 |
| Danny Han | Stanford B | Berkeley Archer Queen | 54 | 10 |
| Nameer Qadir | Toronto C | Toronto A | 54 | 10 |
| Brennan Davis | Louisville B | Michigan C | 54 | 10 |
| Daniel Chen | Emory A | Georgia Tech E | 54 | 10 |
| Nathaniel Martin | Brandeis Bach | Boston University A | 54 | 10 |
| Ada Bendel | Bristol | Cambridge D | 54 | 10 |
| Samuel Zheng | Toronto F | Queen's A | 57 | 10 |
| Joe Paterson | Michigan State A | Michigan B | 57 | 10 |
| Sicheng Jiang | Toronto H | Brock A | 60 | 10 |
| Jeremy Scurlock | Chipola College | Alabama A | 60 | 10 |
| George Matsumura | Washington Chum | British Columbia C | 62 | 10 |
| Carson Kessler | Washington Pink | Washington Sockeye | 62 | 10 |
| David Xilbille | Georgia Tech C | Clemson A | 62 | 10 |
| Ryan Liu | Ohio State D | Louisville C | 65 | 10 |
| Connor Kahn | NCSU A | UNC A | 65 | -5 |
| Liam Rojas | Virginia A | William & Mary A | 65 | 10 |
| Charlotte Nicholas | Durham B | Sheffield A | 65 | 10 |
| Joseph Wang | UCLA E | USC B | 65 | 10 |
| Camden Walker | WashU Grolars | Purdue D | 65 | 10 |
| Rory Moloney | Cambridge E | Imperial D | 65 | 10 |
| Beckett Pursey | Purdue B | Iowa B | 67 | 10 |
| John Rootham | Ottawa D | Ottawa A | 68 | 10 |
| Pace Klein | CWRU B | Louisville A | 69 | 10 |
| Jonathan Schnipper | Brandeis Mozart | Williams B | 71 | 10 |
| Antara Bhattacharya | Cambridge A | Oxford | 72 | 10 |
| Theodor Martin | WashU Grizzlers | Indiana B | 73 | 10 |
| Stephen Ottewell | Toronto B | McMaster A | 76 | -5 |
| Reid Eichberg | Tufts B | UConn A | 76 | 10 |
| Yvonne Pan | Amherst B | Tufts C | 76 | 10 |
| Jolie Yeh | Warwick | Imperial A | 76 | 10 |
| Alex Forman | Cornell D | RIT B | 76 | 10 |
| Ana Torres | McGill C | Ottawa B | 78 | 10 |
| Jason Lee | Rutgers A | Maryland C | 79 | 10 |
| Saswat Sasha Tripathi | Chicago A | Iowa A | 79 | 10 |
| Austin Tran | Rose-Hulman A | William Woods University A | 79 | 10 |
| Anthony Cruz Martinez | Nebraska C | Murray State College B | 80 | 10 |
| Hudson Kee | William & Mary B | William & Mary C | 80 | 10 |
| Rob Morris | Durham D | Edinburgh B | 80 | 10 |
| Cranmer McGinn | McMaster C | Toronto I | 81 | 10 |
| Andrew Lin | Toronto G | Guelph A | 81 | 10 |
| Miles Phillips | Florida Tech B | ERAU Daytona A | 81 | 10 |
| Graham Dirks | Kansas State A | Central Oklahoma B | 81 | 10 |
| Joshua Garner | Ohio State A | Michigan State B | 81 | 10 |
| Walter Carson | NCSU B | Liberty C | 81 | 10 |
| Benjamin Turner | York | Edinburgh D | 81 | 10 |
| James Meek | George Mason A | Maryland A | 81 | 10 |
| Vivian Lu | Wisconsin C | Minnesota | 81 | 10 |
| Isaiah Schmid | Binghamton B | Rochester | 81 | 10 |
| Juan Landaeta | Florida State A | South Florida A | 84 | 10 |
| Bryce Younger | Boise State | Washington Masu | 84 | 10 |
| Wesley Yu | British Columbia A | Texas | 85 | 10 |
| Keira Flenniken | Oklahoma | Murray State College A | 87 | 10 |
| Kevin Cronk | Virginia Tech C | UNC C | 87 | 10 |
| Joyann Hua | British Columbia B | Washington Atlantic | 88 | 10 |
| Alexandra Knight | Liberty B | JMU B | 88 | 10 |
| Gary Wang | Michigan D | Pittsburgh | 92 | 10 |
| James Zhao | Vanderbilt C | Vanderbilt B | 92 | 10 |
| David Yuan | Berkeley Little Prince | Stanford A | 93 | 10 |
| Akif Ismail | Williams C | Harvard | 93 | 10 |
| Johanna Bryant | Liberty A | Duke A | 93 | 10 |
| James Headon | Edinburgh A | Durham A | 93 | 10 |
| James Stadler | Imperial B | Cambridge C | 93 | 10 |
| Connor Yu | Cornell C | RIT A | 93 | 10 |
| Valentina Chamandy | McGill E | Ottawa C | 102 | 10 |
| Pratham Bhanushali | WVU B | Michigan State D | 102 | 10 |
| Thomas Wu | Berkeley Skeleton King | UCSC | 103 | 10 |
| Seth Allen | McMaster A | Toronto B | 103 | 10 |
| Indigo Khanna | Vermont B | Dartmouth A | 103 | 10 |
| Jacky Li | MIT B | Brandeis Beethoven | 103 | 10 |
| Cassidy McIntyre | Rose State | Kansas State B | 103 | 10 |
| Bonham Buchannon | Louisville D | Kentucky | 103 | 10 |
| Alex McClanahan | WVU A | Michigan State C | 103 | 10 |
| Justin Han | UNC A | NCSU A | 103 | 10 |
| Veer Vanmali | Mississippi State A | Auburn C | 103 | 10 |
| Asheton Wilbanks | Clemson B | Clemson C | 103 | 10 |
| Martin Brandenburg | Georgia A | Tennessee Tech | 103 | 10 |
| Caleb Slusher | South Carolina A | Vanderbilt A | 103 | 10 |
| Nelson Adams-Riley | Sewanne | Tennessee B | 103 | 10 |
| Scott Sibley | UC Irvine | UCLA F | 103 | 10 |
| Noah Lang | Wisconsin B | Michigan Tech | 103 | 10 |